基于二元联系数的区间直觉模糊数多准则决策方法

Method of interval-valued intuitionistic fuzzy multiple attribute decision making based on binary connection number

针对准则值为区间直觉模糊数且准则权重为区间数的多准则决策问题,提出一种基于二元联系数的区间直觉模糊型多准则决策方法.首先,介绍区间直觉模糊数和二元联系数;其次,研究区间数转化为联系数、二元联系数转化为实数的3种转化方法,对传统区间数和二元联系数的运算结果进行比较;再次,将区间型贴近度转化为基于二元联系数的实数进行方案优选;最后,运用算例表明所提出方法的优越性和可行性.

According to the multiple criteria decision problems in which criteria values are interval valued intuitionistic fuzzy number and criteria weights are interval numbers, a method with interval valued intuitionistic fuzzy number based on binary connection number is proposed. Firstly, the interval valued intuitionistic fuzzy number and the binary connection number are depicted. Secondly, the transformation methods of connection number into binary connection number and binary connection number into real number are studied, and the differences between traditional interval number and binary connection number are compared. Thirdly, decision alternatives are selected by transforming the interval close degree of conversion into the binary connection number are compaved. Finally, a numerical example is given to illustrate the superiority and feasibility of the proposed method.