Document Type

Article

Publication Date

Summer 2012

Publication Title

Information Sciences

Volume

193

First Page

180

Last Page

198

DOI

10.1016/j.ins.2012.01.019

Keywords

Interval fuzzy preference relation, Additive transitivity, Multiplicative transitivity, Goal programming, Interval weight

Abstract

This article investigates the consistency of interval fuzzy preference relations based on interval arithmetic, and new definitions are introduced for additive consistent, multiplicative consistent and weakly transitive interval fuzzy preference relations. Transformation functions are put forward to convert normalized interval weights into consistent interval fuzzy preference relations. By analyzing the relationship between interval weights and consistent interval fuzzy preference relations, goal-programming-based models are developed for deriving interval weights from interval fuzzy preference relations for both individual and group decision-making situations. The proposed models are illustrated by a numerical example and an international exchange doctoral student selection problem.

Comments

NOTICE: this is the author’s version of a work that was accepted for publication in Information Sciences. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Information Sciences, 139, (2012) http://dx.doi.org/10.1016/j.ins.2012.01.019.

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