Compatibility measurement-based group decision making with interval fuzzy preference relations

被引：2

作者：

Zhang X.-Y. ^{[1
]}

Wang Z.J. ^{[1
]}

机构：

[1] School of Information, Zhejiang University of Finance & Economics, Hangzhou, Zhejiang

来源：

Journal of Algorithms and Computational Technology | 2017年 / 11卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Aggregation; Compatibility; Consensus; Group decision making; Interval fuzzy preference relation;

D O I：

10.1177/1748301816665022

中图分类号：

学科分类号：

摘要：

In this paper, we put forward a ratio-based compatibility degree between any two ]0,1[-valued interval numbers to measure how proximate they approach to each other. A compatibility measurement is presented to evaluate the compatibility degree between a pair of ]0,1[-valued interval fuzzy preference relations (IFPRs). By employing the geometric mean, a measurement formula is proposed to calculate how close one interval fuzzy preference relation is to all the other interval fuzzy preference relations in a group. We devise an induced interval fuzzy ordered weighted geometric (IIFOWG) operator to aggregate ]0,1[-valued interval numbers, and apply the induced interval fuzzy ordered weighted geometric operator to fuse interval fuzzy preference relations into a collective one. Based on the compatibility measurement between two interval fuzzy preference relations, a notion of acceptable consensus of interval fuzzy preference relations is introduced to check the consensus level between an individual interval fuzzy preference relation and a collective interval fuzzy preference relation, and a novel procedure is developed to handle group decision-making problems with interval fuzzy preference relations. A numerical example with respect to the evaluation of e-commerce websites is provided to illustrate the proposed procedure. © The Author(s) 2016.

引用

页码：31 / 39

页数：8

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