Document Type
Article
Publication Date
Summer 2012
Publication Title
Information Sciences
Volume
193
First Page
180
Keywords
Interval fuzzy preference relation, Additive transitivity, Multiplicative transitivity, Goal programming, Interval weight
Last Page
198
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.
DOI
10.1016/j.ins.2012.01.019
Recommended Citation
Wang, Zhou-Jing and Li, Kevin W. Dr.. (2012). Goal programming approaches to deriving interval fuzzy preference relations. Information Sciences, 193, 180-198.
https://scholar.uwindsor.ca/odettepub/58
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.