Tunnel lining crack grade evaluation method and system based on fuzzy theory

Through the tunnel lining crack level assessment method based on fuzzy theory, the subjectivity problem of the traditional assessment method is solved, and quantitative assessment of tunnel lining cracks and scientific maintenance warning are realized.

CN120448878APending Publication Date: 2025-08-08YANCHENG INST OF TECH
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Patent Information

Application Number
CN202510643371.X
Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
Filing Date
2025-05-19
Publication Date
2025-08-08

AI Technical Summary

Technical Problem

The traditional tunnel lining crack assessment method relies on manual experience, and has strong subjectivity and inconsistent assessment standards, which cannot meet the needs of modern tunnel projects.

Method used

The tunnel lining crack level assessment method based on fuzzy theory is adopted, and expert response data is obtained, mathematical calculation model is established, and the level assessment is determined by combining fuzzy theory.

Benefits of technology

Quantitative assessment of tunnel lining cracks is realized, the accuracy and reliability of the assessment is improved, and scientific and objective maintenance suggestions are provided.

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Abstract

The invention relates to the technical field of tunnel engineering, and provides a tunnel lining crack grade evaluation method and system based on a fuzzy theory, and the method comprises the steps: obtaining expert response data of basic elements for tunnel lining crack grade evaluation; preprocessing the expert response data, and removing invalid data and interference data; establishing a mathematical calculation model based on a fuzzy theory based on the preprocessed data; performing grade evaluation on the tunnel lining crack based on the mathematical calculation model to obtain the grade of the tunnel lining crack; and determining a corresponding maintenance early warning grade of the tunnel lining crack based on the grade of the tunnel lining crack, and forming a comprehensive evaluation result. According to the method, the fuzzy theory is introduced, and the expert survey method and the mathematical model are combined, so that quantitative evaluation of the tunnel lining crack is realized, and corresponding maintenance early warning suggestions are provided according to the evaluation result.
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Description

Technical Field

[0001] The present invention relates to the technical field of tunnel engineering, and in particular to a method and system for evaluating crack damage grade of tunnel lining based on fuzzy theory. Background Art

[0002] Tunnel lining cracking is a common problem in tunnel engineering, and the extent of the cracking directly impacts the safety and service life of the tunnel. Traditional crack assessment methods rely primarily on empirical judgment, which is subject to high subjectivity and inconsistent assessment standards. With the expansion and increasing complexity of tunnel projects, traditional assessment methods are no longer able to meet the demands of modern tunnel engineering. Summary of the Invention

[0003] The purpose of the present invention is to solve at least one technical problem in the background technology and provide a method and system for evaluating the crack damage grade of tunnel lining based on fuzzy theory.

[0004] To achieve the above-mentioned object, the present invention provides a method for evaluating the crack damage grade of tunnel lining based on fuzzy theory, comprising:

[0005] Obtain expert response data on basic elements for tunnel lining crack damage assessment;

[0006] Preprocess the expert response data to remove invalid and interfering data;

[0007] Establish a mathematical calculation model based on fuzzy theory based on the preprocessed data;

[0008] Evaluate the level of tunnel lining damage based on a mathematical calculation model to obtain the level of tunnel lining damage;

[0009] Based on the tunnel lining crack damage level, the corresponding tunnel lining crack damage maintenance warning level is determined to form a comprehensive assessment result.

[0010] According to one aspect of the present invention, obtaining expert response data of basic elements for tunnel lining crack damage grade assessment includes:

[0011] Determine the basic elements used for tunnel lining crack damage assessment, including: crack width, crack length, relative crack depth, crack development, crack location, whether it crosses structural joints, crack morphology and lining material;

[0012] An expert survey method was used to determine the number of expert responses for each individual classification of each basic element.

[0013] According to one aspect of the present invention, the preprocessing of the expert response data to remove invalid data and interference data includes:

[0014] The number of expert responses for each individual category of each basic element is uniformly named N i (i=0,1,2,3,4,5);

[0015] The number of expert responses is defined by the following formula to ensure the logic of the numerical meaning of the number of expert responses and eliminate invalid data:

[0016] If N i <N i-1 And N i <N i+1

[0017] Then N i =0.5×(N i-1 +N i+1 );

[0018] Where N i is the number of expert responses with rating level i;

[0019] The defined expert response quantity is processed using the following formula to remove the interference of extremely small response values:

[0020] if

[0021] Then N i =0.

[0022] According to one aspect of the present invention, the establishment of a mathematical calculation model based on fuzzy theory based on the preprocessed data includes:

[0023] Normalize the number of expert responses obtained after preprocessing to obtain the membership function of each individual classification of each basic element:

[0024]

[0025] Where, is the membership function value of the basic element with level i;

[0026] The following formula is used to transform each membership function:

[0027]

[0028] Where, The revised membership function rating for the kth individual classification of the jth basic element; is the uncorrected membership function rating of the ith individual category of the jth basic element; a is the expansion constant of the rating;

[0029] The membership function after transformation is aggregated and calculated using the vertex method, and the membership function obtained is:

[0030] and

[0031] Where, is the value of the corresponding original membership function The evaluation level of the membership function after aggregation calculation;

[0032] The evaluation level corresponding to the membership function after aggregation calculation is restored by the following formula:

[0033]

[0034] The centroid method is used to defuzzify the membership function of the aggregate calculation, and the comprehensive lining damage grade considering different basic factors is obtained as follows:

[0035]

[0036] Where x k 、y k are the horizontal and vertical coordinates of point k on the membership function graph, x k+1 、y k+1 are the horizontal and vertical coordinates of point k+1 on the membership function graph respectively.

[0037] According to one aspect of the present invention, the tunnel lining crack damage level includes extremely severe crack damage level, severe crack damage level, relatively severe crack damage level, moderate crack damage level and slight crack damage level;

[0038] The maintenance warning levels include level 5, level 4, level 3, level 2, level 1 and level 0;

[0039] Among them, level 5 corresponds to extremely severe crack damage level; level 4 corresponds to severe crack damage level; level 3 corresponds to relatively heavy crack damage level; level 2 corresponds to moderate crack damage level; level 1 corresponds to slight crack damage level; level 0 indicates that the crack damage has no impact.

[0040] To achieve the above-mentioned purpose, the present invention further provides a tunnel lining crack damage grade assessment system based on fuzzy theory, comprising:

[0041] Expert response data acquisition module, which obtains expert response data of basic elements used for tunnel lining crack damage grade assessment;

[0042] Data preprocessing module, which preprocesses the expert response data and eliminates invalid data and interference data;

[0043] Model building module, which builds a mathematical calculation model based on fuzzy theory based on preprocessed data;

[0044] The lining damage grade assessment module assesses the damage grade of tunnel lining based on a mathematical calculation model and obtains the damage grade of tunnel lining;

[0045] The comprehensive assessment result acquisition module determines the corresponding maintenance warning level of the tunnel lining crack damage based on the tunnel lining crack damage level to form a comprehensive assessment result.

[0046] To achieve the above-mentioned objectives, the present invention also provides an electronic device, comprising a processor, a memory, and a computer program stored in the memory and executable on the processor. When the computer program is executed by the processor, the method for assessing the crack damage grade of tunnel lining based on fuzzy theory as described above is implemented.

[0047] To achieve the above-mentioned purpose, the present invention also provides a computer-readable storage medium, on which a computer program is stored. When the computer program is executed by a processor, the method for assessing the crack damage grade of a tunnel lining based on fuzzy theory as described above is implemented.

[0048] According to the present invention, a fuzzy-theory-based method for assessing tunnel lining crack damage provides a quantitative assessment of tunnel lining crack damage by incorporating fuzzy theory, expert surveys, and mathematical models. This method provides corresponding maintenance warning recommendations based on the assessment results. This method provides a scientific, objective, and systematic crack damage assessment method that effectively improves the accuracy and reliability of tunnel lining crack damage assessments. BRIEF DESCRIPTION OF THE DRAWINGS

[0049] Figure 1 A flowchart schematically showing a method for evaluating crack damage level of tunnel lining based on fuzzy theory according to an embodiment of the present invention;

[0050] Figure 2 Schematically showing a membership function diagram under a longitudinal crack condition according to one embodiment of the present invention;

[0051] Figure 3 Schematically showing a diagram of membership function aggregation calculation effect according to one embodiment of the present invention;

[0052] Figure 4 This is the circumferential crack diagram of the tunnel entrance section in Example 1;

[0053] Figure 5 : is the membership function diagram of the circumferential crack in Example 1;

[0054] Figure 6 This is the membership function diagram of the crack without development in Example 1;

[0055] Figure 7 This is the membership function diagram of the slit width of 0.5 mm in Example 1;

[0056] Figure 8 This is the membership function diagram of the seam length 9m in Example 1;

[0057] Figure 9 This is the effect diagram after the membership function aggregation and defuzzification calculation of Example 1. DETAILED DESCRIPTION

[0058] The present invention will now be discussed with reference to exemplary embodiments. It should be understood that the embodiments discussed are only intended to enable those skilled in the art to better understand and implement the present invention, rather than to imply any limitation on the scope of the present invention.

[0059] As used herein, the term "including" and variations thereof are to be interpreted as open-ended terms meaning "including, but not limited to." The term "based on" is to be interpreted as "based, at least in part, on." The terms "one embodiment" and "an embodiment" are to be interpreted as "at least one embodiment."

[0060] Figure 1 The flowchart of the tunnel lining crack damage grade assessment method based on fuzzy theory according to one embodiment of the present invention is schematically shown. Figure 1 As shown, in this embodiment, the tunnel lining crack damage grade assessment method based on fuzzy theory includes:

[0061] Obtain expert response data on basic elements for tunnel lining crack damage assessment;

[0062] Preprocess the expert response data to remove invalid and interfering data;

[0063] Establish a mathematical calculation model based on fuzzy theory based on the preprocessed data;

[0064] Evaluate the level of tunnel lining damage based on a mathematical calculation model to obtain the level of tunnel lining damage;

[0065] Based on the tunnel lining crack damage level, the corresponding tunnel lining crack damage maintenance warning level is determined to form a comprehensive assessment result.

[0066] Furthermore, according to one embodiment of the present invention, obtaining expert response data of basic elements for tunnel lining crack damage grade assessment includes:

[0067] Determine the basic elements used for tunnel lining crack damage assessment, including: crack width, crack length, relative crack depth, crack development, crack location, whether it crosses structural joints, crack morphology and lining material;

[0068] An expert survey method was used to determine the number of expert responses for each individual classification of each basic element.

[0069] In this embodiment, the statistics of the number of expert responses to each basic element are shown in Table 1 below:

[0070] Table 1

[0071]

[0072]

[0073] In the present invention, for example, with respect to the expert survey responses in Table 1, the length, width, and relative depth shown on the far left of the table are defined as the basic elements for damage grade assessment. The second column from the left in the table contains the detailed classification (i.e., classification) of these basic elements, such as b < 0.2, which represents a single classification for the width element. In the present invention, fuzzy theory is used to define the membership functions corresponding to the single classifications of each basic element. By integrating the collected expert response data, the collected response data is assigned to each corresponding basic element as a whole, and then subsequent grade assessment is performed.

[0074] Furthermore, according to one embodiment of the present invention, the expert response data is preprocessed to remove invalid data and interference data, including:

[0075] The number of expert responses for each individual category of each basic element is uniformly named N i (i=0,1,2,3,4,5);

[0076] The number of expert responses is defined by the following formula to ensure the logic of the numerical meaning of the number of expert responses and eliminate invalid data:

[0077] If N i <N i-1 And N i <N i+1

[0078] Then N i =0.5×(N i-1 +N i+1 );

[0079] Where N i is the number of expert responses with rating level i;

[0080] In addition, data processing is required to remove the interference of extremely small response values. The minimum value of the expert survey results is when the number of responses corresponding to a single category of a basic factor is very small. Here, the control threshold is less than 5% of the total number of responses. The data of the defined number of expert responses is processed using the following formula to remove the interference of extremely small response values:

[0081] if

[0082] Then N i =0.

[0083] Furthermore, according to one embodiment of the present invention, a mathematical calculation model based on fuzzy theory is established based on the preprocessed data, including:

[0084] Normalize the number of expert responses obtained after preprocessing to obtain the membership function of each basic element:

[0085]

[0086] Where, is the membership function value of the basic element with level i; so far, the membership function of each specific single classification under a basic element is completely defined. Figure 2 It is the graphical expression of the membership function under the condition of longitudinal cracks.

[0087] Furthermore, according to one embodiment of the present invention, in a mathematical calculation model based on fuzzy theory (LCREM grade determination model), fuzzy sets are applied to various crack elements, and different membership functions are used to form different representations of the individual classifications of the basic elements. Typically, in on-site crack detection work, cracks (crack damage) correspond to a variety of different element descriptions, such as "The longitudinal crack is located at the top of the plain concrete lining arch, the crack width is 2 cm, and the length is 13 meters..." In order to comprehensively evaluate the comprehensive grade of cracks under various factors, it is necessary to formulate a generalized fuzzy rule to appropriately assign multiple membership functions. It must be pointed out that the membership function grade conditions for all individual classifications of the defined crack basic elements are 0 to 5, and the corresponding membership values are 0 to 1. From a logical analysis, it can be seen that when a crack is defined by two or more basic elements, its combined effect will not be less severe than the severity corresponding to any single basic element, and the domain value and function value corresponding to the membership function under the combined effect should be consistent with those under the single element case.

[0088] In this embodiment, the following formula is used to transform each membership function:

[0089]

[0090] Where, The revised membership function rating for the kth individual classification of the jth basic element; is the uncorrected membership function rating of the ith individual classification of the jth basic element; a is the expansion constant of the rating. To ensure the continuity of the calculation, a is taken as a constant 5.0001, which is close to the highest rating of 5.

[0091] The membership function after transformation is aggregated and calculated using the vertex method, and the membership function obtained is:

[0092] and

[0093] Where, is the value of the corresponding original membership function The evaluation level of the membership function after aggregation calculation;

[0094] The evaluation level corresponding to the membership function after aggregation calculation is restored by the following formula:

[0095]

[0096] like Figure 3 As shown in the figure, the application effect of the generalized fuzzy rules is explained. It can be seen that the combined membership function represents a collective effect. The proposed fuzzy rules can promote the consistency of the membership function aggregation, making it consistent with the basic elements of each damage and their joint effects.

[0097] In this embodiment, the centroid method is used to defuzzify the membership function of the aggregate calculation, and the comprehensive lining crack damage grade considering different basic factors is obtained as follows:

[0098]

[0099] Where x k 、y k are the horizontal and vertical coordinates of point k on the membership function graph, x k+1 、y k+1 are the horizontal and vertical coordinates of point k+1 on the membership function graph respectively.

[0100] Based on the above series of definitions, a standardized lining crack damage grade assessment method based on fuzzy theory can be completed. Its advantage is that the qualitative and quantitative lining crack damage characteristics are expressed by membership functions. At the same time, based on the mathematical definitions of fuzzification and defuzzification, the interference of subjective factors is avoided.

[0101] Furthermore, according to one embodiment of the present invention, the tunnel lining crack damage level includes an extremely severe crack damage level, a severe crack damage level, a relatively heavy crack damage level, a moderate crack damage level, and a slight crack damage level;

[0102] The maintenance warning levels include level 5, level 4, level 3, level 2, level 1 and level 0;

[0103] Among them, level 5 corresponds to extremely severe crack damage level; level 4 corresponds to severe crack damage level; level 3 corresponds to relatively heavy crack damage level; level 2 corresponds to moderate crack damage level; level 1 corresponds to slight crack damage level; level 0 indicates that the crack damage has no impact.

[0104] Furthermore, according to one embodiment of the present invention, after the lining crack damage grade assessment is completed according to LCREM, a mapping relationship is used to correspond the crack damage grade to the maintenance warning grade, as shown in Table 2 below, to form a comprehensive evaluation recommendation.

[0105] Table 2

[0106] Crack damage level c Maintenance warning level Definition Description 0<c≤0.5 0 In this state, no maintenance is required 0.5<c≤1.5 1 The repair priority is extremely low, and the decision on whether repair is needed will be made after normal inspection. 1.5<c≤2.5 2 The repair priority is low, normal maintenance is sufficient 2.5<c≤3.5 3 Repair priority is medium, and repair measures will be taken if necessary 3.5<c≤4.5 4 The repair priority is high and repair measures should be taken as soon as possible c>4.5 5 Repair priority is extremely high, take immediate repair measures

[0107] According to the aforementioned solution, the present invention provides a fuzzy-theory-based method for assessing tunnel lining crack damage. By incorporating fuzzy theory, expert surveys, and mathematical models, this method quantitatively assesses tunnel lining crack damage and provides corresponding maintenance warning recommendations based on the assessment results. This method provides a scientific, objective, and systematic method for assessing crack damage, effectively improving the accuracy and reliability of tunnel lining crack damage assessments.

[0108] Furthermore, to achieve the above-mentioned purpose, the present invention also provides a tunnel lining crack damage grade assessment system based on fuzzy theory, comprising:

[0109] Expert response data acquisition module, which obtains expert response data of basic elements used for tunnel lining crack damage grade assessment;

[0110] Data preprocessing module, which preprocesses the expert response data and eliminates invalid data and interference data;

[0111] Model building module, which builds a mathematical calculation model based on fuzzy theory based on preprocessed data;

[0112] The lining damage grade assessment module assesses the damage grade of tunnel lining based on a mathematical calculation model and obtains the damage grade of tunnel lining;

[0113] The comprehensive assessment result acquisition module determines the corresponding maintenance warning level of the tunnel lining crack damage based on the tunnel lining crack damage level to form a comprehensive assessment result.

[0114] The tunnel lining crack damage grade assessment system based on fuzzy theory according to the present invention can implement the tunnel lining crack damage grade assessment method based on fuzzy theory. The specific process steps are as described above and will not be repeated here.

[0115] Furthermore, to achieve the above-mentioned purpose, the present invention also provides an electronic device, comprising a processor, a memory, and a computer program stored in the memory and executable on the processor. When the computer program is executed by the processor, the method for assessing the crack damage grade of tunnel lining based on fuzzy theory as described above is implemented.

[0116] Furthermore, to achieve the above-mentioned purpose, the present invention also provides a computer-readable storage medium, on which a computer program is stored. When the computer program is executed by a processor, the method for assessing the crack damage grade of a tunnel lining based on fuzzy theory as described above is implemented.

[0117] In order to make the objectives, technical solutions and advantages of the present invention more clear, the present invention is further described in detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiment described herein is only an optimal embodiment of the present invention and is only used to explain the present invention and does not limit the scope of protection of the present invention. All other embodiments obtained by ordinary technicians in this field without making creative work are within the scope of protection of the present invention.

[0118] Example 1

[0119] like Figure 4 As shown in the figure, a circumferential crack was found on the left side wall of the entrance section of a tunnel lining, starting from the cable trough cover. The crack length was 9m and the crack width was 0.5mm. The on-site monitoring results showed that the crack had no development trend.

[0120] Based on the qualitative and quantitative description of the crack, it can be determined that the comprehensive assessment of the lining damage grade can be carried out based on four factors: crack morphology, crack development, crack width and crack length. First, the membership function of the single classification of each basic factor is calculated, such as Figure 5 、 Figure 6 、 Figure 7 and Figure 8 shown.

[0121] Since the above description of lining crack damage only involves four basic elements, after the membership function calculation is completed, the generalized fuzzy rule method is used to aggregate the four basic elements to obtain the overall membership function of lining crack damage, as shown in the following example: Figure 9 shown.

[0122] The overall membership function is defuzzified by the centroid method, and the lining crack damage grade is calculated to be 3.8414. Figure 9As shown. Finally, using Round function mapping processing, the damaged lining repair warning level is calculated to be level 4, corresponding to a high repair priority level, and repair measures must be taken as soon as possible. Through the tunnel lining crack damage level assessment method based on fuzzy theory demonstrated in this embodiment, the statistical results of cracks in typical lining cracked tunnels can be graded to distinguish the actual impact of different characteristic lining cracks and the proposed repair priority level.

[0123] Those skilled in the art will appreciate that the modules and algorithm steps described in conjunction with the embodiments disclosed herein can be implemented using electronic hardware, or a combination of computer software and electronic hardware. Whether these functions are implemented in hardware or software depends on the specific application and design constraints of the technical solution. Professionals and technicians may use different methods to implement the described functions for each specific application, but such implementation should not be considered beyond the scope of the present invention.

[0124] Those skilled in the art will clearly understand that, for the convenience and brevity of description, the specific working processes of the above-described devices and equipment can refer to the corresponding processes in the aforementioned method implementation methods and will not be repeated here.

[0125] In the embodiments provided in this application, it should be understood that the disclosed devices and methods can be implemented in other ways. For example, the device embodiments described above are merely illustrative. For example, the division of the modules is merely a logical function division. In actual implementation, there may be other division methods, such as multiple modules or components can be combined or integrated into another system, or some features can be ignored or not executed. Another point is that the mutual coupling or direct coupling or communication connection shown or discussed can be through some interfaces, indirect coupling or communication connection of devices or modules, which can be electrical, mechanical or other forms.

[0126] The modules described as separate components may or may not be physically separate, and the components shown as modules may or may not be physical modules, that is, they may be located in one place or distributed across multiple network modules. Some or all of the modules may be selected according to actual needs to achieve the objectives of the embodiments of the present invention.

[0127] In addition, each functional module in the embodiment of the present invention may be integrated into one processing module, or each module may exist physically separately, or two or more modules may be integrated into one module.

[0128] If the functions are implemented as software modules and sold or used as standalone products, they can be stored in a computer-readable storage medium. Based on this understanding, the technical solution of the present invention, or the portion that contributes to the prior art, or a portion of the technical solution, can be embodied in the form of a software product. This computer software product is stored in a storage medium and includes instructions for enabling a computer device (which can be a personal computer, server, or network device, etc.) to perform all or part of the steps of the energy-saving signal transmission / reception method according to various embodiments of the present invention. The aforementioned storage medium includes various media capable of storing program code, such as a USB flash drive, a mobile hard drive, ROM, RAM, a magnetic disk, or an optical disk.

[0129] The above description is merely a preferred embodiment of the present application and an illustration of the technical principles employed. Those skilled in the art should understand that the scope of the invention involved in this application is not limited to the technical solutions formed by the specific combination of the above-mentioned technical features, but also encompasses other technical solutions formed by any combination of the above-mentioned technical features or their equivalents without departing from the inventive concept. For example, a technical solution formed by replacing the above-mentioned features with (but not limited to) technical features with similar functions disclosed in this application.

[0130] It should be understood that the size of the serial numbers of each step in the content of the invention and the implementation methods of the present invention does not absolutely mean the order of execution. The execution order of each process should be determined by its function and internal logic, and should not constitute any limitation on the implementation process of the implementation methods of the present invention.

Claims

1. A tunnel lining crack damage grade assessment method based on fuzzy theory is characterized by: include: Obtain expert response data on basic elements for tunnel lining crack damage assessment; Preprocess the expert response data to remove invalid and interfering data; Establish a mathematical calculation model based on fuzzy theory based on the preprocessed data; Evaluate the level of tunnel lining damage based on a mathematical calculation model to obtain the level of tunnel lining damage; Based on the tunnel lining crack damage level, the corresponding tunnel lining crack damage maintenance warning level is determined to form a comprehensive assessment result.

2. The tunnel lining crack damage grade assessment method based on fuzzy theory according to claim 1 is characterized in that: The acquisition of expert response data on basic elements for tunnel lining crack damage grade assessment includes: Determine the basic elements used for tunnel lining crack damage assessment, including: crack width, crack length, relative crack depth, crack development, crack location, whether it crosses structural joints, crack morphology and lining material; An expert survey method was used to determine the number of expert responses for each individual classification of each basic element.

3. The tunnel lining crack damage grade assessment method based on fuzzy theory according to claim 2 is characterized in that: The pre-processing of the expert response data to remove invalid data and interference data includes: The number of expert responses for each individual category of each basic element is uniformly named N i (i=0,1,2,3,4,5); The number of expert responses is defined by the following formula to ensure the logic of the numerical meaning of the number of expert responses and eliminate invalid data: If N i <N i-1 And N i <N i+1 Then N i =0.5×(N i-1 +N i+1 ); Where N i is the number of expert responses with rating level i; The defined expert response quantity is processed using the following formula to remove the interference of extremely small response values: if Then N i =0.

4. The tunnel lining crack damage grade assessment method based on fuzzy theory according to claim 3 is characterized in that: The mathematical calculation model based on fuzzy theory is established based on the pre-processed data, including: Normalize the number of expert responses obtained after preprocessing to obtain the membership function of each individual classification of each basic element: Where, is the membership function value of the basic element with level i; The following formula is used to transform each membership function: Where, The revised membership function rating for the kth individual classification of the jth basic element; is the uncorrected membership function rating of the kth individual classification of the jth basic element; a is the expansion constant of the rating; The membership function after transformation is aggregated and calculated using the vertex method, and the membership function obtained is: and Where, is the value of the corresponding original membership function The evaluation level of the membership function after aggregation calculation; The evaluation level corresponding to the membership function after aggregation calculation is restored by the following formula: The centroid method is used to defuzzify the membership function of the aggregate calculation, and the comprehensive lining damage grade considering different basic factors is obtained as follows: Where x k 、y k are the horizontal and vertical coordinates of point k on the membership function graph, x k+1 、y k+1 are the horizontal and vertical coordinates of point k+1 on the membership function graph respectively.

5. The tunnel lining crack damage grade assessment method based on fuzzy theory according to any one of claims 1 to 4, characterized in that: The tunnel lining crack damage grades include extremely severe crack damage grade, severe crack damage grade, relatively severe crack damage grade, moderate crack damage grade and slight crack damage grade; The maintenance warning levels include level 5, level 4, level 3, level 2, level 1 and level 0; Among them, level 5 corresponds to extremely severe crack damage level; level 4 corresponds to severe crack damage level; level 3 corresponds to relatively heavy crack damage level; level 2 corresponds to moderate crack damage level; level 1 corresponds to slight crack damage level; level 0 indicates that the crack damage has no impact.

6. The tunnel lining crack damage grade assessment system based on fuzzy theory is characterized by: include: Expert response data acquisition module, which obtains expert response data of basic elements used for tunnel lining crack damage grade assessment; Data preprocessing module, which preprocesses the expert response data and eliminates invalid data and interference data; Model building module, which builds a mathematical calculation model based on fuzzy theory based on preprocessed data; The lining damage grade assessment module assesses the damage grade of tunnel lining based on a mathematical calculation model and obtains the damage grade of tunnel lining; The comprehensive assessment result acquisition module determines the corresponding maintenance warning level of the tunnel lining crack damage based on the tunnel lining crack damage level to form a comprehensive assessment result.

7. An electronic device, characterized in that The method comprises a processor, a memory and a computer program stored in the memory and executable on the processor, wherein when the computer program is executed by the processor, the method for assessing the crack damage grade of a tunnel lining based on fuzzy theory as described in any one of claims 1 to 5 is implemented.

8. A computer-readable storage medium, characterized in that The computer-readable storage medium stores a computer program, and when the computer program is executed by the processor, the method for assessing the crack damage grade of a tunnel lining based on fuzzy theory according to any one of claims 1 to 5 is implemented.