Document Type

Article

Publication Date

12-2014

Publication Title

Journal of Systems Science and Systems Engineering

Volume

23

Issue

4

First Page

460

Last Page

479

DOI

10.1007/s11518-014-5259-4

Keywords

Interval fuzzy preference relation, additive consistency, acceptable consistency, weak transitivity, decision making

Abstract

This article introduces a consistency index for measuring the consistency level of an interval fuzzy preference relation (IFPR). An approach is then proposed to construct an additive consistent IFPR from a given inconsistent IFPR. By using a weighted averaging method combining the original IFPR and the constructed consistent IFPR, a formula is put forward to repair an inconsistent IFPR to generate an IFPR with acceptable consistency. An iterative algorithm is subsequently developed to rectify an inconsistent IFPR and derive one with acceptable consistency and weak transitivity. The proposed approaches can not only improve consistency of IFPRs but also preserve the initial interval uncertainty information as much as possible. Numerical examples are presented to illustrate how to apply the proposed approaches.

Comments

The final publication is available at Springer via http://dx.doi.org/10.1007/s11518-014-5259-4

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