Document Type

Article

Publication Date

8-2014

Publication Title

Soft Computing

Volume

18

Issue

8

First Page

1499

Last Page

1513

DOI

10.1007/s00500-013-1156-x

Keywords

Multiple criteria decision analysis, Interval fuzzy preference relation, Consistency test, Weight generation, Additive consistent, Linear programming

Abstract

Some simple yet pragmatic methods of consistency test are developed to check whether an interval fuzzy preference relation is consistent. Based on the definition of additive consistent fuzzy preference relations proposed by Tanino (Fuzzy Sets Syst 12:117–131, 1984), a study is carried out to examine the correspondence between the element and weight vector of a fuzzy preference relation. Then, a revised approach is proposed to obtain priority weights from a fuzzy preference relation. A revised definition is put forward for additive consistent interval fuzzy preference relations. Subsequently, linear programming models are established to generate interval priority weights for additive interval fuzzy preference relations. A practical procedure is proposed to solve group decision problems with additive interval fuzzy preference relations. Theoretic analysis and numerical examples demonstrate that the proposed methods are more accurate than those in Xu and Chen (Eur J Oper Res 184:266–280, 2008b).

Comments

The final publication is available at Springer via http://dx.doi.org/10.1007/s00500-013-1156-x

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