Document Type

Article

Publication Date

1-2014

Publication Title

Computers & Industrial Engineering

Volume

67

First Page

93

Last Page

103

DOI

10.1016/j.cie.2013.10.010

Keywords

Incomplete interval fuzzy preference relation, Additive consistent, Group decision making

Abstract

This paper investigates incomplete interval fuzzy preference relations. A characterization, which is proposed by Herrera-Viedma et al. (2004), of the additive consistency property of the fuzzy preference relations is extended to a more general case. This property is further generalized to interval fuzzy preference relations (IFPRs) based on additive transitivity. Subsequently, we examine how to characterize IFPR. Using these new characterizations, we propose a method to construct an additive consistent IFPR from a set of n − 1 preference data and an estimation algorithm for acceptable incomplete IFPRs with more known elements. Numerical examples are provided to illustrate the effectiveness and practicality of the solution process.

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