A method for repairing the inconsistency of fuzzy preference relations

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalNot applicablepeer-review

156 Scopus Citations
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Author(s)

  • Jian Ma
  • Zhi-Ping Fan
  • Yan-Ping Jiang
  • Ji-Ye Mao
  • Louis Ma

Related Research Unit(s)

Detail(s)

Original languageEnglish
Pages (from-to)20-33
Journal / PublicationFuzzy Sets and Systems
Volume157
Issue number1
Publication statusPublished - 1 Jan 2006

Abstract

This paper investigates the inconsistency problems of preference information about alternatives expressed as a fuzzy preference relation by a decision maker. An analysis method is presented to identify the inconsistency and weak transitivity of a fuzzy preference relation and to repair its inconsistency to reach weak transitivity. First, several definitions are given on additive consistency, inconsistency and weak transitivity of a fuzzy preference relation. Next, two methods derived from graph theory are presented to judge whether a fuzzy preference relation has weak transitivity or not. Then, an algorithm is developed to repair an inconsistent fuzzy preference relation and to make it become one with weak transitivity, via a synthesis matrix which reflects the relationship between the fuzzy preference relation with additive consistency and the initial one given by a decision maker. A convergence theorem is also given for the algorithm. Lastly, two numerical examples are shown to illustrate the proposed method. © 2005 Elsevier B.V. All rights reserved.

Research Area(s)

  • Additive consistency, Fuzzy preference relations, Inconsistency, Weak transitivity

Citation Format(s)

A method for repairing the inconsistency of fuzzy preference relations. / Ma, Jian; Fan, Zhi-Ping; Jiang, Yan-Ping; Mao, Ji-Ye; Ma, Louis.

In: Fuzzy Sets and Systems, Vol. 157, No. 1, 01.01.2006, p. 20-33.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalNot applicablepeer-review