基于阿基米德范数的广义直觉模糊Bonferroni平均及其多属性决策方法

主要提出了一种基于阿基米德T-范数和S-范数的广义直觉模糊Bonferroni平均算子.首先利用广义直觉模糊运算法则和阿基米德T-范数和S-范数,构建了一种新的广义直觉模糊Bonferroni平均算子,并详细研究了该算子的一些优良性质,包括幂等性、单调性、有界性以及置换不变性等;然后探究了广义直觉模糊Bonferroni平均算子的几类特殊形式;最后在直觉模糊环境下,基于提出的算子建立了一种新的多属性决策方法,并以图书馆空调系统的选择为例,分析说明了提出的决策方法的可行性和有效性.

Generalized Intuitionistic Fuzzy Bonferroni Mean Based on Arhcimedean Norm and its Application to Multi-attribute Decision Making

This paper proposes a novel generalized intuitionistic fuzzy Bonferroni means operator, which is based on the Archimedean t-conorm and t-norm. First, we investigate the generalized intuitionistic fuzzy Bonferroni mean(GIFBM)based on the Archimedean t-conorm and t-norm and generalized intuitionistic fuzzy operational laws. Then, its desirable properties are discussed, including commutativity, idempotency, monotonicity and boundedness. We further study some special cases of the GIFBM in detail. Finally, an approach to intuitionistic fuzzy multi-attribute decision making is developed based on the proposed aggregation operator, and give a numerical example about air-conditioning system selection to illustrate the behavior of the proposed method.