Multiattribute decision making based on the binary connection number in set pair analysis under an interval-valued intuitionistic fuzzy set environment
Multiattribute decision making based on the binary connection number in set pair analysis under an interval-valued intuitionistic fuzzy set environment
复制标题
区间值直觉模糊集环境下集对分析中基于二元连接数的多属性决策
DOI：
10.1007/s00500-019-04398-1
复制
发表时间：
2019-10-11
期刊：
影响因子：
4.1
通讯作者：
Zhao, Keqin
中科院分区：
文献类型：
--
作者：
Shen, Qing;Huang, Xu;Zhao, Keqin
本文开发了一种基于区间值直觉模糊集环境的集对分析（SPA）的新多属性决策（MADM）方法。连接数被称为 SPA 的主要组成部分，它提供了一种定量分析，将确定性和不确定性整合为一个组合系统。首先，我们简要回顾一下区间值直觉模糊集（IVIFS）和二元连接数（BCN）的概念。然后研究了区间直觉模糊数向BCNs的转化方法。最后，我们提出了一种新的MADM方法，其中使用区间值直觉模糊值来表达备选方案对属性的评估值，并用实数或IVIFS来表示权重。给出了一些典型例子来说明该方法的可行性和有效性。
A new multiattribute decision-making (MADM) methodology based on set pair analysis (SPA) for an interval-valued intuitionistic fuzzy set environment is developed in this paper. The connection number, which is known as a major component of SPA, provides a quantitative analysis to integrate the certainty and uncertainty as a combined system. First, we briefly review the concepts of interval-valued intuitionistic fuzzy sets (IVIFS) and the binary connection number (BCN). Then, the transformation method of interval-valued intuitionistic fuzzy numbers into BCNs is studied. Finally, we present a new MADM method where interval-valued intuitionistic fuzzy values are used to express evaluating values of alternatives on attributes, and weights are represented with real numbers or IVIFS. Some typical examples are presented to illustrate the feasibility and validity of the proposed approach.