Integrated design optimization method for marine engineering equipment based on GT and FCMA

Abstract

The present invention discloses a method for optimizing the integrated design of marine engineering equipment based on GT and FCMA, which belongs to the technical field of marine engineering equipment design optimization and is used for optimizing the integrated design of marine engineering equipment. The method comprises constructing a primary decision matrix and a secondary decision matrix based on the overall function, sub-function and basic function of the marine engineering equipment design, wherein each basic function corresponds to a set of functional components, each basic function is divided into an evaluation index, and the subordination relationship between the evaluation index and the basic function is constructed to form a game subject strategy, a functional component solution decision matrix is constructed, a non-cooperative game model is used to screen the Nash equilibrium solution, and a cooperative game model is used to obtain the optimal solution for the integrated design of marine engineering equipment. The present invention reduces the coupling between function and structure in the design process to a certain extent, can adapt to the dynamic changes of demand and function, and effectively solves the multi-objective conflict and interest balance problems in complex system design.

Description

Technical Field

[0001] The invention discloses an integrated design optimization method for marine engineering equipment based on GT and FCMA, and belongs to the technical field of marine engineering equipment design optimization. Background Art

[0002] As the integrated design of marine engineering equipment is the only way to manufacture and use marine engineering equipment, and as the complexity, integration, personalization and diversification of marine engineering equipment continue to increase, traditional optimization methods such as the analytic hierarchy process (AHP), analytic network process (ANP) and topology ranking and weighted optimization technique (TOPSIS) have gradually exposed limitations such as unstable decision-making and difficulty in quantifying and weighing target interests. As a result, the designed marine engineering equipment scheme cannot obtain the optimal result according to the overall design goal, thereby weakening the design effect of the marine engineering equipment and affecting its specific use. Summary of the Invention

[0003] The purpose of the present invention is to provide an integrated design optimization method for marine engineering equipment based on GT and FCMA to solve the problems in the existing technology of unstable decision-making and difficulty in quantifying and weighing target interests in the integrated design method of marine engineering equipment.

[0004] The integrated design optimization method for marine engineering equipment based on GT and FCMA includes demand analysis and functional design of the overall function, sub-function and basic function of marine engineering equipment. Each sub-function corresponds to multiple basic functions, and each basic function corresponds to a set of functional components.

[0005] Based on the Delphi method, the 9-level Likert scale method was used to establish the first-level decision matrix and the second-level decision matrix. The FCM clustering algorithm was used to construct the affiliation between the evaluation indicators and the basic functions, the game subject strategy, determine the optimal evaluation indicator for each basic function, and construct the functional component correlation decision matrix.

[0006] A non-cooperative game method is used to establish a non-cooperative game mathematical model and obtain the Nash equilibrium solution; a cooperative game method is used to construct a cooperative game model, evaluate the Nash equilibrium solution, and obtain the optimal solution as the optimal integrated design scheme for marine engineering equipment.

[0007] The construction of the first-level decision matrix includes establishing the correlation between the functional component set and the evaluation indicators based on the Delphi method and the Likert 9-level quantitative scale method:

[0008] ;

[0009] ;

[0010] ;

[0011] Where, is a first-level decision matrix, It is Functional component set matrix, yes No. functional components, yes Hedi The correlation of the evaluation indicators.

[0012] Constructing a secondary decision matrix includes:

[0013] ;

[0014] ;

[0015] ;

[0016] Where, is a two-level decision matrix, It is A basic function matrix, yes Hedi The correlation of the evaluation indicators.

[0017] The formation of the game subject strategy includes setting each evaluation indicator as a game party, the basic function belonging to the corresponding game party as the game strategy, the game strategy is equivalent to the optimization variable, the functional component set of each basic function is the strategy set, the strategy set is equivalent to the variable set, and all strategy sets constitute the strategy space of the game party.

[0018] Constructing the functional component relevance decision matrix includes classifying the basic functions according to the optimal evaluation index, obtaining the basic function clusters for each evaluation index, and constructing the functional component relevance decision matrix:

[0019] ;

[0020] Where, is the functional component dependency decision matrix, It is evaluation indicators.

[0021] A mathematical model of non-cooperative game is established, and the integrated design scheme is evaluated in combination with the functional component correlation decision matrix. The Nash equilibrium solution is obtained, including setting variables, calculating utility values, and calculating the combined utility value of the non-cooperative game.

[0022] Setting variables includes setting the non-cooperative game model as , is the gaming party, is the policy set, is the utility value, , represents the number of game players, Nash equilibrium solution satisfy and .

[0023] Calculating utility values includes utility values The calculation process is:

[0024] ;

[0025] ;

[0026] ;

[0027] ;

[0028] ;

[0029] ;

[0030] Where, It's satisfaction, are two known functions, is the number of basic functions in the game, Represents the game player No. correlation values, including correlation values between functional components and evaluation indicators, and correlation values between basic functions and evaluation indicators. is the conversion function, It is evaluation indicators, It is Evaluation indicators and game players No. The basic functions and The relevant values of the functional components, and Respectively represent the game parties The number of players with positive and negative correlations, for The maximum value of for The maximum value of yes Obtained at the time , yes Obtained at the time ;

[0031] Calculate the combined utility value including the combined utility value of non-cooperative games for:

[0032] ;

[0033] Screen Nash equilibrium solutions based on utility values and combined utility values of non-cooperative games.

[0034] Construct a cooperative game model, evaluate the Nash equilibrium solution, and obtain the optimal solution, including calculating the utility value of the cooperative game. for:

[0035] ;

[0036] Where, is the minimum utility value of the players in the non-cooperative game, is the maximum utility value of the players in the non-cooperative game, yes middle The calculation results are: yes middle The calculation result of The maximum value of is taken as the optimal solution, which is equivalent to the optimal solution for the integrated design of marine engineering equipment.

[0037] Deepwater submarine drilling is the main function, and tripping and lowering electric drill tools, rotating electric drill tools, circulating drilling fluid, operating guide casing and tool strings, driving various equipment, controlling various equipment, providing structural support, and assisting in the safe and stable operation of equipment are sub-functions. The basic function of tripping and lowering electric drill tools is to inject and lift coiled tubing, the basic function of rotating electric drill tools is to drive the drill bit and crush rock, the basic function of circulating drilling fluid is to pump drilling fluid, transport drilling fluid, and store drilling fluid, the sub-functions of operating guide casing are to hang guide casing and tool strings, store guide casing and tool strings, clamp guide casing and tool strings, connect and unload guide casing and tool strings, and grab guide casing and tool strings, the basic function of driving various equipment is to provide reliable power supply, stable hydraulic energy, transmit electrical energy, and transmit signals, the basic function of controlling various equipment is to monitor and control the submarine drilling system, the basic function of providing structural support is to support various equipment and the underwater frame, and the basic function of assisting the safe and stable operation of equipment is to cut coiled tubing, hang casing, and assist in pulling out the drilling rig.

[0038] Compared with the existing technology, the present invention has the following beneficial effects: it solves the problems of multi-objective conflicts and interest balance in complex system design, has the characteristics of strong decision-making scientificity and high comprehensiveness, can be widely used in multi-objective optimization of complex engineering systems, and provides theoretical support and technical paths for improving design efficiency and decision rationality; it reduces the coupling of function and structure in the design process to a certain extent, and can adapt to the dynamic changes of demand and function; it effectively solves the problems of multi-objective conflicts and interest balance in complex system design, significantly improves design efficiency and scientific decision-making, realizes the quantification and balance of complex relationships between design objectives, and ensures the global optimality and decision stability of the optimization scheme under multi-objective conditions. BRIEF DESCRIPTION OF THE DRAWINGS

[0039] Figure 1 This is a flowchart of an embodiment of the present invention;

[0040] Figure 2 This is a functional design diagram of an embodiment of the present invention. DETAILED DESCRIPTION

[0041] To make the objectives, technical solutions, and advantages of the present invention more clear, the technical solutions of the present invention are described clearly and completely below. Obviously, the embodiments described are only some of the embodiments of the present invention, not all of them. All other embodiments derived by persons of ordinary skill in the art based on the embodiments of the present invention without inventive effort are within the scope of protection of the present invention.

[0042] The integrated design optimization method for marine engineering equipment based on GT and FCMA includes demand analysis and functional design of the overall function, sub-function and basic function of marine engineering equipment. Each sub-function corresponds to multiple basic functions, and each basic function corresponds to a set of functional components.

[0043] Based on the Delphi method, the 9-level Likert scale method was used to establish the first-level decision matrix and the second-level decision matrix. The FCM clustering algorithm was used to construct the affiliation between the evaluation indicators and the basic functions, the game subject strategy, determine the optimal evaluation indicator for each basic function, and construct the functional component correlation decision matrix.

[0044] A non-cooperative game method is used to establish a non-cooperative game mathematical model and obtain the Nash equilibrium solution; a cooperative game method is used to construct a cooperative game model, evaluate the Nash equilibrium solution, and obtain the optimal solution as the optimal integrated design scheme for marine engineering equipment.

[0045] The construction of the first-level decision matrix includes establishing the correlation between the functional component set and the evaluation indicators based on the Delphi method and the Likert 9-level quantitative scale method:

[0046] ;

[0047] ;

[0048] ;

[0049] Where, is a first-level decision matrix, It is Functional component set matrix, yes No. functional components, yes Hedi The correlation of the evaluation indicators.

[0050] Constructing a secondary decision matrix includes:

[0051] ;

[0052] ;

[0053] ;

[0054] Where, is a two-level decision matrix, It is A basic function matrix, yes Hedi The correlation of the evaluation indicators.

[0055] The formation of the game subject strategy includes setting each evaluation indicator as a game party, the basic function belonging to the corresponding game party as the game strategy, the game strategy is equivalent to the optimization variable, the functional component set of each basic function is the strategy set, the strategy set is equivalent to the variable set, and all strategy sets constitute the strategy space of the game party.

[0056] Constructing the functional component relevance decision matrix includes classifying the basic functions according to the optimal evaluation index, obtaining the basic function clusters for each evaluation index, and constructing the functional component relevance decision matrix:

[0057] ;

[0058] Where, is the functional component dependency decision matrix, It is evaluation indicators.

[0059] A mathematical model of non-cooperative game is established, and the integrated design scheme is evaluated in combination with the functional component correlation decision matrix. The Nash equilibrium solution is obtained, including setting variables, calculating utility values, and calculating the combined utility value of the non-cooperative game.

[0060] Setting variables includes setting the non-cooperative game model as , is the gaming party, is the policy set, is the utility value, , represents the number of game players, Nash equilibrium solution satisfy and .

[0061] Calculating utility values includes utility values The calculation process is:

[0062] ;

[0063] ;

[0064] ;

[0065] ;

[0066] ;

[0067] ;

[0068] Where, It's satisfaction, are two known functions, is the number of basic functions in the game, Represents the game player No. correlation values, including correlation values between functional components and evaluation indicators, and correlation values between basic functions and evaluation indicators. is the conversion function, It is evaluation indicators, It is Evaluation indicators and game players No. The basic functions and The relevant values of the functional components, and Respectively represent the game parties The number of players with positive and negative correlations, for The maximum value of for The maximum value of yes Obtained at the time , yes Obtained at the time ;

[0069] Calculate the combined utility value including the combined utility value of non-cooperative games for:

[0070] ;

[0071] Screen Nash equilibrium solutions based on utility values and combined utility values of non-cooperative games.

[0072] Construct a cooperative game model, evaluate the Nash equilibrium solution, and obtain the optimal solution, including calculating the utility value of the cooperative game. for:

[0073] ;

[0074] Where, is the minimum utility value of the players in the non-cooperative game, is the maximum utility value of the players in the non-cooperative game, yes middle The calculation results are: yes middle The calculation result of The maximum value of is taken as the optimal solution, which is equivalent to the optimal solution for the integrated design of marine engineering equipment.

[0075] Deepwater submarine drilling is the main function, and tripping and lowering electric drill tools, rotating electric drill tools, circulating drilling fluid, operating guide casing and tool strings, driving various equipment, controlling various equipment, providing structural support, and assisting in the safe and stable operation of equipment are sub-functions. The basic function of tripping and lowering electric drill tools is to inject and lift coiled tubing, the basic function of rotating electric drill tools is to drive the drill bit and crush rock, the basic function of circulating drilling fluid is to pump drilling fluid, transport drilling fluid, and store drilling fluid, the sub-functions of operating guide casing are to hang guide casing and tool strings, store guide casing and tool strings, clamp guide casing and tool strings, connect and unload guide casing and tool strings, and grab guide casing and tool strings, the basic function of driving various equipment is to provide reliable power supply, stable hydraulic energy, transmit electrical energy, and transmit signals, the basic function of controlling various equipment is to monitor and control the submarine drilling system, the basic function of providing structural support is to support various equipment and the underwater frame, and the basic function of assisting the safe and stable operation of equipment is to cut coiled tubing, hang casing, and assist in pulling out the drilling rig.

[0076] The present invention discloses an integrated design optimization method for marine engineering equipment based on GT (game theory) and FCMA (fuzzy c-means clustering algorithm). Taking a deep-water submarine drilling system as an example, the overall operation process of the deep-water submarine drilling system is as follows: Figure 1 As shown, the process includes dockside installation and commissioning, on-site pre-drilling preparations, drilling and cementing operations, and recovery operations. First, system equipment is installed at the dock, and the power system (hydraulic and electrical), control system, and circulation system are commissioned aboard the support vessel. The subsea drilling rig is then transported to the target sea area via the support vessel. Using precise positioning, the vessel is positioned directly above the wellhead. The vessel's drill string system is then used to hoist the rig, lower it to the seabed, and secure it. During the drilling and cementing phase, coiled tubing drilling technology is used to complete the steps of jetting the casing, drilling with coiled tubing, pulling out the drill bit, running casing, and cementing. Finally, the subsea drilling rig is recovered back to the support vessel using the vessel's drill string system, completing a complete, closed-loop deepwater drilling process.

[0077] Based on the above-mentioned operation process of deepwater submarine drilling system, the analysis shows that the total functional requirement of deepwater submarine drilling system is deepwater submarine drilling; the sub-functional requirements are tripping and lowering electric drill tools, rotating electric drill tools, circulating drilling fluid, operating guide casing and tool string, driving various equipment, controlling various equipment, providing structural support, and assisting equipment to operate safely and smoothly; the basic functional requirements of tripping and lowering electric drill tools are to inject and lift coiled tubing, the basic functional requirements of rotating electric drill tools are to drive the drill bit and crush rock, the basic functional requirements of circulating drilling fluid are to pump drilling fluid, transport drilling fluid, store drilling fluid, operate guide casing, etc. The basic functional requirements are hanging guide casing and tool strings, storing guide casing and tool strings, clamping guide casing and tool strings, connecting and unloading guide casing and tool strings, and grabbing guide casing and tool strings. The basic functional requirements for driving various equipment are providing reliable power supply, providing stable hydraulic energy, transmitting electrical energy and transmitting signals. The basic functional requirements for controlling various equipment are monitoring the subsea drilling system and controlling the subsea drilling system. The basic functional requirements for providing structural support are supporting various equipment and supporting underwater frames. The basic functional requirements for assisting the safe and stable operation of equipment are cutting continuous tubing, hanging casing, and assisting in pulling out the drilling rig.

[0078] According to the above demand analysis, the functional design of deepwater submarine drilling system is as follows: Figure 2As shown, deepwater submarine drilling is the main function, and tripping and lowering electric drill tools, rotating electric drill tools, circulating drilling fluid, operating guide casing and tool strings, driving various equipment, controlling various equipment, providing structural support, and assisting the safe and stable operation of equipment are sub-functions. The basic function of tripping and lowering electric drill tools is to inject and lift coiled tubing, the basic function of rotating electric drill tools is to drive the drill bit and crush rock, the basic function of circulating drilling fluid is to pump drilling fluid, transport drilling fluid, and store drilling fluid, the sub-functions of operating guide casing are to hang guide casing and tool strings, store guide casing and tool strings, clamp guide casing and tool strings, connect and disconnect guide casing and tool strings, and grab guide casing and tool strings, the basic function of driving various equipment is to provide reliable power supply, stable hydraulic energy, transmit electrical energy, and transmit signals, the basic function of controlling various equipment is to monitor and control the subsea drilling system, the basic function of providing structural support is to support various equipment and the underwater frame, and the basic functions of assisting the safe and stable operation of equipment are to cut coiled tubing, hang casing, and assist in pulling out the drilling rig. According to the overall function, sub-function and basic functions, the functional components that realize each basic function are designed, and the morphological matrix of the deepwater submarine drilling system is established, as shown in Table 1.

[0079] Table 1 Morphological matrix of deepwater submarine drilling system

[0080] ;

[0081] Based on the marine environment and user needs, the above functional components were quickly screened. Electric drilling tools are highly automated and can better adapt to complex seabed environments and achieve unmanned operation. Screw and turbine drills rely on drilling fluid hydraulic drive and are difficult to meet the needs of deepwater seabed operations, so they need to be eliminated. Electro-hydraulic control is preferred due to its excellent signal transmission and control accuracy, and can better cope with deepwater environments. Hydraulically controlled manipulators and hydraulic elevators are preferred due to their indirect electro-hydraulic control characteristics. Horizontal casing discharge systems are spatially limited due to the high center of gravity of seabed drilling systems and their relatively small length and width. After screening, the functions of each basic function were arranged and combined, resulting in 128 integrated design solutions for seabed drilling systems.

[0082] Due to the diversity and differences of functional components that realize basic functions, there are many integrated design schemes for deepwater submarine drilling equipment. Therefore, it is necessary to conduct an objective, accurate and scientific evaluation of the integrated design to determine the optimal integrated design scheme.

[0083] To objectively, accurately, and scientifically evaluate the integrated design of deepwater submarine drilling equipment, this paper, based on the characteristics of deepwater submarine drilling and adhering to the principles of evaluation index system construction, proposed a preliminary evaluation index system for deepwater submarine drilling equipment integrated design through literature research, theoretical analysis, expert survey and consultation, and empirical selection. Then, using the Delphi method, authoritative and representative experts were invited to conduct multiple rounds of questionnaire surveys and summarize their opinions to select evaluation indicators. Ultimately, an evaluation index system for deepwater submarine drilling equipment integrated design was constructed. This process ensures the scientific and practical nature of the index system, providing a reliable tool for comprehensive evaluation of deepwater submarine drilling equipment integrated design, reducing the subjective influence of individual experts and improving the objectivity of the evaluation results. The optimal combined utility value was used as the final evaluation index for deepwater submarine drilling system integrated design, while the utility values of economic benefits, automation level, and spatial adaptability were used as evaluation indicators for the basic functions and functional components of deepwater submarine drilling systems.

[0084] The evaluation of deepwater submarine drilling system integrated design is complex, and the correlations between basic functions and functional components cannot be directly quantified. To objectively and accurately assess the optimal utility value of deepwater submarine drilling system integrated design combinations, a Delphi method was used. Authoritative and representative experts were invited to conduct multiple rounds of questionnaire surveys and summarize their opinions. This method reduces the subjective influence of individual experts and improves the objectivity of the evaluation results.

[0085] The Likert 9-level scale method is used as shown in Table 2, and the first-level decision matrix is established as shown in Table 3; based on the first-level decision matrix, the second-level decision matrix is shown in Table 4.

[0086] Table 2 Likert 9-level scale values and meanings

[0087] ;

[0088] Table 3 First-level decision matrix

[0089] ;

[0090] Table 4 Secondary decision matrix

[0091] ;

[0092] The FCM clustering algorithm is used to construct the affiliation between evaluation indicators and basic functions.

[0093] The steps of the FCM clustering algorithm are as follows: Step 1: Membership matrix initialization:

[0094] ;

[0095] ;

[0096] ;

[0097] Where, Represents data points Belong to The membership degree of each data point to all clusters is 1. The initialization process can be generated by random assignment or specific rules to ensure that the matrix meets the above constraints.

[0098] Step 2: Calculate cluster centers :

[0099] ;

[0100] Where, For the At the iteration, the data point Cluster The degree of membership; For the data points; is the fuzzy factor, Take 2. The cluster center is the weighted average of all data points, and the weight is determined by the degree of membership. The higher the membership degree, the greater the contribution of the data point to the cluster center.

[0101] Step 3: Calculate the distance from the data point to the cluster center and calculate the distance between each data point and the cluster center. With the Cluster centers distance Euclidean distance is often used:

[0102] ;

[0103] Where, For data points No. Quantity is the cluster center No. Quantity is the dimension of the data points. It is used to measure the similarity between a data point and the cluster center. The closer the distance, the more similar they are.

[0104] Step 4: Update the membership matrix according to the calculated , update the membership matrix Elements :

[0105] ;

[0106] Where, At the t+1th iteration, the data point Cluster The membership degree, is the number of clusters. The membership update formula is calculated through normalization to ensure that the sum of the membership of each data point to all clusters is 1. The smaller the distance, the greater the membership.

[0107] Step 5: Calculate the objective function. In each iteration, calculate the objective function , to evaluate the clustering effect:

[0108] ;

[0109] In the formula, the objective function represents the total weighted clustering error. At each iteration, Gradually decrease and finally converge.

[0110] Step 6: Check the convergence conditions and check whether the change in the membership matrix meets the convergence conditions:

[0111] ;

[0112] Where, is the preset convergence threshold. If the convergence condition is met, the iteration stops; otherwise, return to step 2 and continue the iteration.

[0113] The FCM clustering algorithm is used to obtain the affiliation between the evaluation indicators and basic functions, as shown in Table 5.

[0114] Table 5 Relationship between evaluation indicators and basic functions

[0115] ;

[0116] According to the above clustering results, the optimal evaluation index of each basic function is determined according to the principle of maximum membership. According to the optimal evaluation index, each basic function is classified to form economic benefit clusters, automation level clusters and spatial adaptability clusters, namely , , .

[0117] Based on the above economic benefit clustering, automation level clustering, and spatial adaptability clustering, a functional component correlation decision matrix is constructed, as shown in Table 6.

[0118] Table 6 Functional component correlation decision matrix

[0119] ;

[0120] A non-cooperative game method was used to establish a non-cooperative game mathematical model. The utility values of economic benefits, automation level, and spatial adaptability were used as evaluation indicators to evaluate 128 submarine drilling system integration design schemes. The specific process is as follows: each evaluation indicator is regarded as a game party, the basic functions belonging to the corresponding game party are regarded as game strategies (optimization variables), the functional component set of each basic function is regarded as a strategy set (variable set), and all strategy sets constitute the strategy space of the game party. A non-cooperative game mathematical model was established to evaluate the satisfaction of the economic benefits (c), automation level (a), and spatial adaptability (f) of the 128 submarine drilling system integration design schemes. , , and utility value , , Calculations were performed to obtain the utility values of different solutions, as shown in Table 7. 80% of the difference between the maximum and minimum combined utility values was taken as the combined utility value threshold. , calculate the combined utility value threshold , the combined utility value Greater than the utility threshold Design , a total of 15 schemes are selected as Nash equilibrium solutions, i.e., the optimal integrated design schemes for deepwater submarine drilling systems.

[0121] Table 7 Utility values of non-cooperative games

[0122] ;

[0123] The cooperative game method is used to evaluate the 15 optimal designs of submarine drilling system integration. The specific process is as follows: , , , calculate the combined utility value , the results are shown in Table 8. The larger the value, the better the solution is in terms of spatial adaptability, automation level and economic benefits.

[0124] Table 8 Calculation of cooperative game utility values

[0125] ;

[0126] Therefore, the non-cooperative game and cooperative game methods were successively adopted to obtain the optimal integrated design scheme of the submarine drilling system, which is S100.

[0127] The above embodiments are only used to illustrate the technical solutions of the present invention, rather than to limit the same. Although the present invention has been described in detail with reference to the aforementioned embodiments, those skilled in the art should understand that they can still modify the technical solutions described in the aforementioned embodiments, or replace some or all of the technical features therein with equivalents, and these modifications or replacements do not cause the essence of the corresponding technical solutions to deviate from the scope of the technical solutions of the embodiments of the present invention.

Claims

1. The integrated design optimization method for marine engineering equipment based on GT and FCMA is characterized by: This includes demand analysis and functional design of the overall functions, sub-functions and basic functions of marine engineering equipment. Each sub-function corresponds to multiple basic functions, and each basic function corresponds to a set of functional components. Based on the Delphi method, the Likert 9-point scale method was used to establish the first-level decision matrix and the second-level decision matrix; Adopting FCM clustering algorithm, we build the affiliation between evaluation indicators and basic functions, the game subject strategy, determine the optimal evaluation indicator for each basic function, and build the functional component correlation decision matrix; Using non-cooperative game methods, a non-cooperative game mathematical model is established to obtain the Nash equilibrium solution; using cooperative game methods, a cooperative game model is constructed to evaluate the Nash equilibrium solution and obtain the optimal solution as the optimal integrated design scheme for marine engineering equipment; The construction of the first-level decision matrix includes establishing the correlation between the functional component set and the evaluation indicators based on the Delphi method and the Likert 9-level quantitative scale method: ； ； ； Where, is a first-level decision matrix, It is Functional component set matrix, yes No. functional components, yes Hedi The correlation of the evaluation indicators; Constructing a secondary decision matrix includes: ； ； ； Where, is a two-level decision matrix, It is A basic function matrix, yes Hedi The correlation of the evaluation indicators.

2. The integrated design optimization method for marine engineering equipment based on GT and FCMA according to claim 1 is characterized in that: The formation of the game subject strategy includes setting each evaluation indicator as a game party, the basic function belonging to the corresponding game party as the game strategy, the game strategy is equivalent to the optimization variable, the functional component set of each basic function is the strategy set, the strategy set is equivalent to the variable set, and all strategy sets constitute the strategy space of the game party.

3. The integrated design optimization method for marine engineering equipment based on GT and FCMA according to claim 2 is characterized in that: Constructing the functional component relevance decision matrix includes classifying the basic functions according to the optimal evaluation index, obtaining the basic function clusters for each evaluation index, and constructing the functional component relevance decision matrix: ； Where, is the functional component dependency decision matrix, It is evaluation indicators.

4. The integrated design optimization method for marine engineering equipment based on GT and FCMA according to claim 3 is characterized in that: A mathematical model of non-cooperative game is established, and the integrated design scheme is evaluated in combination with the functional component correlation decision matrix. The Nash equilibrium solution is obtained, including setting variables, calculating utility values, and calculating the combined utility value of the non-cooperative game.

5. The integrated design optimization method for marine engineering equipment based on GT and FCMA according to claim 4 is characterized in that: Setting variables includes setting the non-cooperative game model as , is the gaming party, is the policy set, is the utility value, , represents the number of game players, Nash equilibrium solution satisfy and .

6. The integrated design optimization method for marine engineering equipment based on GT and FCMA according to claim 5 is characterized in that: Calculating utility values includes utility values The calculation process is: ； ； ； ； ； ； Where, It's satisfaction, are two known functions, is the number of basic functions in the game, Represents the game player No. correlation values, including correlation values between functional components and evaluation indicators, and correlation values between basic functions and evaluation indicators. is the conversion function, It is evaluation indicators, It is Evaluation indicators and game players No. The basic functions and The relevant values of the functional components, and Respectively represent the game parties The number of players with positive and negative correlations, for The maximum value of for The maximum value of yes Obtained at the time , yes Obtained at the time ; Calculate the combined utility value including the combined utility value of non-cooperative games for: ； Screen Nash equilibrium solutions based on utility values and combined utility values of non-cooperative games.

7. The integrated design optimization method for marine engineering equipment based on GT and FCMA according to claim 6 is characterized in that: Construct a cooperative game model, evaluate the Nash equilibrium solution, and obtain the optimal solution, including calculating the utility value of the cooperative game. for: ； Where, is the minimum utility value of the players in the non-cooperative game, is the maximum utility value of the players in the non-cooperative game, yes middle The calculation results are: yes middle The calculation result of The maximum value of is taken as the optimal solution, which is equivalent to the optimal solution for the integrated design of marine engineering equipment.

8. The integrated design optimization method for marine engineering equipment based on GT and FCMA according to claim 1 is characterized in that: Deepwater submarine drilling is the main function, and tripping and lowering electric drill tools, rotating electric drill tools, circulating drilling fluid, operating guide casing and tool strings, driving various equipment, controlling various equipment, providing structural support, and assisting in the safe and stable operation of equipment are sub-functions. The basic function of tripping and lowering electric drill tools is to inject and lift coiled tubing, the basic function of rotating electric drill tools is to drive the drill bit and crush rock, the basic function of circulating drilling fluid is to pump drilling fluid, transport drilling fluid, and store drilling fluid, the sub-functions of operating guide casing are to hang guide casing and tool strings, store guide casing and tool strings, clamp guide casing and tool strings, connect and unload guide casing and tool strings, and grab guide casing and tool strings, the basic function of driving various equipment is to provide reliable power supply, stable hydraulic energy, transmit electrical energy, and transmit signals, the basic function of controlling various equipment is to monitor and control the submarine drilling system, the basic function of providing structural support is to support various equipment and the underwater frame, and the basic function of assisting the safe and stable operation of equipment is to cut coiled tubing, hang casing, and assist in pulling out the drilling rig.

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