基于灰色理想解法的模糊多属性决策方法研究

杜俊慧; 魏法杰

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基于灰色理想解法的模糊多属性决策方法研究

自动化与计算机技术 | 更新时间：2026-09-14

- 基于灰色理想解法的模糊多属性决策方法研究
- Study on the Approach of Fuzzy Multi-Attribute Decision Making Based on Degree of Grey Incidence and TOPSIS
- 中北大学学报（自然科学版） 2008年29卷第6期页码：510-514
- 作者机构：
  
  1. 北京航空航天大学经济管理学院,北京,100083
  2. 中北大学经济与管理学院
- 作者简介：
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- 纸质出版：2008
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杜俊慧, 魏法杰. 基于灰色理想解法的模糊多属性决策方法研究[J]. 中北大学学报（自然科学版）, 2008,29(6):510-514.

杜俊慧, 魏法杰. Study on the Approach of Fuzzy Multi-Attribute Decision Making Based on Degree of Grey Incidence and TOPSIS[J]. 2008, 29(6): 510-514.
杜俊慧, 魏法杰. 基于灰色理想解法的模糊多属性决策方法研究[J]. 中北大学学报（自然科学版）, 2008,29(6):510-514. DOI：

杜俊慧, 魏法杰. Study on the Approach of Fuzzy Multi-Attribute Decision Making Based on Degree of Grey Incidence and TOPSIS[J]. 2008, 29(6): 510-514. DOI：

摘要

针对方案评估中属性信息的模糊性

提出了一种基于熵权和灰色理想解法的决策方法.该方法先将属性的模糊信息转化为三角模糊数

再利用三角模糊数的性质和信息熵的思想

求出属性的熵权.然后

用灰色理论对传统理想解法进行拓展

将灰色关联度和欧氏距离有机结合构造出一种相似接近度对方案进行评价.相似接近度同时反映了方案与正负理想方案之间的位置和数据曲线的相似性差异

这种方法使其物理意义更加明确.通过算例说明了方法的可行性和有效性.

Abstract

Aimed at the fuzziness of scheme evaluation

a new decision making method based on entropy weight and gray TOPSIS is presented.The fuzzy information of the attribute is firstly transformed to the triangular fuzzy numbers.According to the characters of triangular fuzzy numbers and the entropy

each attribute weight is worked out.Then

the traditional TOPSIS is improved by grey theory

a new kind of similar approach degree is established by combining the Euclidean distance with grey correlation degree to appraise the scheme.The similar approach degree reflects the distance and the difference of data curves among a selected scheme

the ideal solution and negative ideal solution.This method has clear physical implication.Finally

the feasibility and effectivity of the method is proved by an example.

关键词

Keywords

references

Chen S J,Hwang C L.Fuzzy multiple attribute decision making:Methods and applications[M].New York:Springer,1992.

Ribeiro R A.Fuzzy multiple attribute decision making:a review and new preference elicitation techniques[J].FuzzySets and Systems,1996,78(2):155-181.

Chiebein C,Klein C M.An efficient approach to solving fuzzy MADM problems[J].Fuzzy Sets and Systems,1997,88(1):51-67.

Fan Z P,Ma J,Zhang Q.An approach to multiple attribute decision making based on fuzzy preference informationon alternatives[J].Fuzzy Sets and Systems,2002,131(1):101-106.

徐泽水.对方案有偏好的三角模糊数型多属性决策方法研究[J].系统工程与电子技术,2002,24(8):9-1.Xu Zeshui.Study on Method for Triangular Fuzzy Number-Based Multi-Attribute Decision Making With PreferenceInformation on Alternatives[J].Systems Engineering and Electronics,2002,24(8):9-1.(in Chinese)

Fan Z P,Hu G F,Xiao S H.A method for multiple attribute decision making with the fuzzy preference relation onalternatives[J].Computers and Industrial Engineering,2004,46(2):321-327.

徐泽水,赵华.偏好信息为模糊互反判断矩阵的模糊多属性决策法[J].模糊系统与数学,2004,18(4):115-121.Xu Zeshui,Zhao Hua.A method for fuzzy multi-attribute decision making with preference information in the form offuzzy reciprocal judgment matrix[J].Fuzzy Systems and Mathematics,2004,18(4):115-121.(in Chinese)

He P D,Yeh C H.Inter-company comparison using modified TOPSIS with objective weights[J].Computers andOperations Research,2000,27(10):963-973.

Chu T C.Facility location selection using fuzzy TOPSIS under group decisions[J]International Journal ofUncertainty,2002,10(6):687-701.

陈雷,王延.基于熵权系数与TOPSIS集成评价决策方法的研究[J].控制与决策,2003,18(4):456-459.Chen Lei,Wang Yan.Research on TOPSIS integrated evaluation and decision method based on entropy coefficient[J].Control and Decision,2003,18(4):456-459.(in Chinese)

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