A method for repairing interval fuzzy preference relation without weak transitivity

被引：0

作者：

Guan, Jinting ^{[1
]}

Zeng, Yong ^{[1
]}

Huaiqing, Sun ^{[1
]}

机构：

[1] Department of Automation, Xiamen University, Xiamen 361005, Fujian

来源：

Advances in Information Sciences and Service Sciences | 2012年 / 4卷 / 22期

关键词：

Additive consistency; Inconsistency; Interval fuzzy preference relation; Weak transitivity;

D O I：

10.4156/AISS.vol4.issue22.23

中图分类号：

学科分类号：

摘要：

In this paper, two methods for judging whether an interval fuzzy preference relation has weak transitivity or not and an algorithm for repairing an interval fuzzy preference relation without weak transitivity are extended from research on fuzzy preference relation. First, Arithmetic operations and comparison of interval numbers are presented. Several definitions are given including additive consistency, inconsistency and weak transitivity of interval fuzzy preference relation. Second, two methods are put forward to judge whether an interval fuzzy preference relation has weak transitivity or not. Then, an algorithm is developed to repair an interval fuzzy preference relation without weak transitivity and makes sure that the modified one both has weak transitivity and preserves the original preference of decision maker as much as possible. Finally, an illustrative numerical example is conducted, and the result shows the efficiency of the proposed algorithm.

引用

页码：182 / 190

页数：8

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