Improved entropy weight AHP and application thereof

A technique of analytic hierarchy process and entropy weight method, applied in data processing applications, instruments, manufacturing computing systems, etc., can solve problems such as inability to distinguish solutions

Active Publication Date: 2014-02-12
XIDIAN UNIV
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Problems solved by technology

Traditional Topsis uses Euclidean distance when calculating the distance between the scheme and the positive and negative ideal solutions, but there are two problems: 1. The scheme that is close to the positive ideal solution may also b

Method used

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  • Improved entropy weight AHP and application thereof
  • Improved entropy weight AHP and application thereof
  • Improved entropy weight AHP and application thereof

Examples

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Embodiment Construction

[0042] (1) There are m upper-level criteria and n sub-criteria, and each upper-level criterion contains n 1 , n 2 ,...,n m sub-criteria, and n 1 +n 2 +…+n m =n, where the weight of the upper criterion is obtained through the judgment matrix of the analytic hierarchy process B={β 1 , β 2 ,...,β m}, the weight of each sub-criteria is

[0043] (2) The weight of each criterion obtained by entropy weight method is A={α 1 , α 2 ,...,α n}.

[0044] (3) Synthesize the sub-criteria weight Ф and the weight A obtained by the entropy weight method according to the following formula, and obtain the sub-criteria comprehensive weight T={τ 1 , τ 2 ,...,τ n},in

[0045]

[0046] In the formula alpha i Respectively represent the weights of each criterion obtained according to the AHP and the entropy weight method.

[0047] (4) According to the corresponding relationship between the sub-criteria and the upper-level criteria, the comprehensive weight of the criteria is re-...

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Abstract

The invention discloses a preferable method of product design schemes. The method comprises the steps of (1) establishing a product evaluation index system, and obtaining the weight of each bottom layer index according to the AHP; (2) obtaining product actual survey data, and obtaining the weights of the bottom layer indexes according to the entropy weight method; (3) combining sub-criterion layer weights of the AHP and the weights of the entropy weight method to obtain sub-criterion layer comprehensive weights, normalizing the sub-criterion comprehensive weights of each criterion layer, and finally obtaining the comprehensive weight of each index; (4) standardizing original data, weighing the standardized index data according to the comprehensive weights to obtain weighted standardized data, and selecting an ideal solution, namely the optimal scheme and the worst scheme; (5) calculating the distance and the approaching degree between each scheme and the ideal solution; (6) conducting merit sorting on the schemes according to the approaching degree of each scheme to obtain the optimal design scheme. The method can overcome the defects of other traditional methods and effectively conduct sorting on the green design schemes.

Description

technical field [0001] The invention relates to the technical field of product green manufacturing, in particular to green evaluation and scheme optimization of manufacturing products. Background technique [0002] Decision analysis is an analysis process of selecting and deciding the best solution among several alternative solutions in order to solve current or future problems in the stages of system planning, design and manufacturing. The system decision-making problems faced in the research and control process of social and economic systems are often multi-objective. For example, in the green design of electromechanical products, it is necessary to consider the maximum economic benefit of the product, and to make the product low in production cost and environmentally friendly. higher. Interactions and contradictions among these objectives make it difficult for operators or decision makers to easily make judgments. Multi-objective decision-making theory has been widely u...

Claims

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Application Information

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IPC IPC(8): G06Q10/04G06Q50/04
CPCY02P90/30
Inventor 郭金维周孟初李志武蒲绪强
Owner XIDIAN UNIV
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