计算机科学 ›› 2010, Vol. 37 ›› Issue (11): 214-216.

• 人工智能 • 上一篇    下一篇

直觉梯形模糊数MADM问题的灰色关联分析法

张市芳,刘三阳,翟任何   

  1. (西安电子科技大学计算机学院 西安710071);(西安电子科技大学理学院 西安710071);(陕西理工学院机械工程学院 汉中723003)
  • 出版日期:2018-12-01 发布日期:2018-12-01
  • 基金资助:
    本文受国家自然科学基金项目(60974082),陕西省自然科学基础研究计划项目(ST08A10)资助。

Method of Grey Relational Analysis for MADM Problem with Intuitionistic Trapezoidal Fuzzy Numbers

ZHANG Shi-fang,LIU San-yang,ZHAI Ren-he   

  • Online:2018-12-01 Published:2018-12-01

摘要: 针对属性权重信息完全已知且属性值以直觉梯形模糊数形式给出的多属性决策问题,提出了一种灰色关联分析方法。首先给出了直觉梯形模糊数的定义、距离和性质,然后依据传统的灰色关联分析法的基本思想建立了直觉梯形模糊数多属性决策问题的决策步骤。最后给出了一个实例分析,其结果表明了该方法的实用性和有效性。

关键词: 灰色关联分析,多属性决策,直觉梯形模糊数,Hamming距离

Abstract: With respect to multiple attribute decision making ( MADM) problem in which the attribute weights are known completed and the attribute values are intuitionistic trapezoidal fuzzy numbers, a method of grey relational analysis was proposed. Firstly, the definition and distance and nature of intuitionistic trapezoidal fuzzy numbers were given.Then, based on the basic idea of traditional grey relational analysis method, decision making steps of MADM problem with intuitionistic trapezoidal fuzzy numbers were proposed. Finally, an example was given to show the practicality and effectiveness of the developed approach.

Key words: Grey relational analysis, Multiple attribute decision making(MADM),Intuitionistic trapezoidal fuzzy numbers, Hamming distance

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