摘要
本文基于模糊集理论提出了一个新的模糊熵函数:反正切直觉模糊集“模糊熵”,从理论上证明了所提出的度量严格满足直觉模糊熵公理,并给出其相应的性质。并用它来定义了属性权重和决策者权重,用以解决属性权重和决策权重都完全未知的多属性决策问题。通过对熵和模糊度的分析,并用实证分析验证了反正切直觉模糊熵在多属性决策问题的有效性和可行性。
A arctangent intuitionistic fuzzy entropy measure is proposed in the setting of intuitionistic fuzzy set theory.This entropy can be used in multi-attribute decision making for the uncertainty attribute weight.We show that the new measure satisfies the refined axioms of entropy on intuitionistic fuzzy sets.Some interesting properties of this measure are analyzed.Based on analyzing the action of entropy and the fuzziness of the intuitionistic fuzzy sets,we also illustrate that the arctangent entropy is an effective measure of the attribute weight in decision making.Finally,the effectiveness and practicability of this method are illustrated by empirical analysis.
作者
许晓曾
李梦
XU Xiao-zeng;LI Meng(College of Mathematics and Statistics,Chongqing Technology and BusinessUniversity,Chongqing 400067,China;Chongqing Key Laboratory of Social Economy and Applied Statistics(Chongqing Technology and Business University),Chongqing 400067,China)
出处
《模糊系统与数学》
北大核心
2023年第1期49-57,共9页
Fuzzy Systems and Mathematics
基金
重庆市自然科学基金资助项目(cstc2020jcyj-msxmX0162)
关键词
直觉模糊集
反正切直觉模糊熵
决策者权重
多属性决策
属性权重
Intuitionistic Fuzzy Set
Arctangent Intuitionistic Fuzzy Entropy
Expert Weight
Multiple Attribute Decision Making
Criteria Weight
