梯形模糊数直觉模糊Bonferroni平均算子及其应用

The Trapezoidal Fuzzy Number Intuitionistic Fuzzy Bonferroni Means Operator and Its Application

本文研究决策信息为梯形模糊数直觉模糊数(TFNIFN)且属性间存在相互关联的多属性群决策(MAGDM)问题,提出一种基于梯形模糊数直觉模糊加权Bonferroni平均(TFNIFWBM)算子的决策方法.首先,介绍了TFNIFN的概念和运算法则,基于这些运算法则和Bonferroni平均(Bonferroni mean,BM)算子,定义了梯形模糊数直觉模糊Bonferroni平均算子和TFNIFWBM算子.然后,研究了这些算子的一些性质,建立基于TFNIFWBM算子的多属性群决策模型,结合排序方法进行决策.最后,将该方法应用在MAGDM中,算例结果表明了该方法的有效性与可行性.

For solving multiple attribute group decision -making （MAGDM） problems where attribute values are in the form of trapezoidal fuzzy number intuitionistic fuzzy numbers （TFNIFN） and attributes are associated with each other, an approach is proposed based on the trapezoidal fuzzy number intuitionistic fuzzy weighted Bonferroni means （TFNIFWBM） operator. The concepts of trapezoidal fuzzy number intuitionistic fuzzy numbers are introduced at first, and then the trapezoidal fuzzy number intuitionistic fuzzy Bonferroni means （TFNIFBM） operator and the TFNIFWBM operator are defined, and their properties are researched, then a model of multi - attribute decision group making is constructed based on the TFNIFWBM operator. The approach is applied in MAGDM problems, and the results show that the developed approach is feasible and effective.