Goal programming approaches to deriving interval weights based on interval fuzzy preference relations

  • Authors:

  • Zhou-Jing Wang;Kevin W. Li

  • Affiliations:

  • School of Information, Zhejiang University of Finance & Economics, Hangzhou, Zhejiang 310018, China and School of Computer Science and Engineering, Beihang University, Beijing 100083, China;Odette School of Business, University of Windsor, Windsor, Ontario, Canada N9B 3P4

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2012

Quantified Score

Hi-index 0.07

Visualization

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.