杨红军, 董礼. 基于直觉模糊集多属性决策的灰色关联分析法[J]. 微电子学与计算机, 2011, 28(9): 155-157.
引用本文: 杨红军, 董礼. 基于直觉模糊集多属性决策的灰色关联分析法[J]. 微电子学与计算机, 2011, 28(9): 155-157.
YANG Hong-jun, DONG Li. Method of Grey Relational Analysis for Multiple Attribute Decision Making Based on Intuitionistic Fuzzy Sets[J]. Microelectronics & Computer, 2011, 28(9): 155-157.
Citation: YANG Hong-jun, DONG Li. Method of Grey Relational Analysis for Multiple Attribute Decision Making Based on Intuitionistic Fuzzy Sets[J]. Microelectronics & Computer, 2011, 28(9): 155-157.

基于直觉模糊集多属性决策的灰色关联分析法

Method of Grey Relational Analysis for Multiple Attribute Decision Making Based on Intuitionistic Fuzzy Sets

  • 摘要: 基于直觉模糊集理论, 提出了一种新的灰色关联分析方法来研究模糊多属性决策问题.首先, 根据直觉模糊集的几何意义, 引入了两个直觉模糊集之间的距离, 且每个备选方案的评价值用直觉模糊值表示.其次, 依据传统灰色关联分析方法的基本思想, 通过计算每个方案对直觉模糊正、负理想方案的灰色关联度.然后计算备选方案对直觉模糊正理想方案的相对关联度度.最后, 通过一个具体实例说明该方法的有效性和具体应用过程.

     

    Abstract: The aim of this paper is to extend the grey relational analysis (GRA) method to deal with multiple attribute decision making problems in fuzzy environments.This paper presents a novel GRA method for multiple attribute decision making (MADM) based on intuitionistic fuzzy sets theory.The rating of each alternative is expressed in intuitionistic fuzzy value.Then, the distance between two intuitionistic fuzzy sets is introduced.According to the traditional ideas of grey relational analysis, the optimal alternative is determined by calculating the relative relational degree of every alternative and positive ideal solution which based on the concept that the optimal alternative should have the largest degree of grey relation from positive ideal solution and the smallest degree of grey relation from the negative ideal solution simultaneously.Finally, an example is shown to high light the procedure of the proposed method at the end of this paper.

     

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