Document Type

Article

Publication Date

6-10-2015

Publication Title

Information Sciences

Volume

306

First Page

166

Last Page

179

DOI

10.1016/j.ins.2015.02.018

Keywords

Group decision making, Chi-square method, Incomplete reciprocal preference relation, Priority, Consistency

Abstract

This paper proposes a chi-square method (CSM) to obtain a priority vector for group decision making (GDM) problems where decision-makers’ (DMs’) assessment on alternatives is furnished as incomplete reciprocal preference relations with missing values. Relevant theorems and an iterative algorithm about CSM are proposed. Saaty’s consistency ratio concept is adapted to judge whether an incomplete reciprocal preference relation provided by a DM is of acceptable consistency. If its consistency is unacceptable, an algorithm is proposed to repair it until its consistency ratio reaches a satisfactory threshold. The repairing algorithm aims to rectify an inconsistent incomplete reciprocal preference relation to one with acceptable consistency in addition to preserving the initial preference information as much as possible. Finally, four examples are examined to illustrate the applicability and validity of the proposed method, and comparative analyses are provided to show its advantages over existing approaches.

Comments

This article was first published at doi:10.1016/j.ins.2015.02.018. Copyright Elsevier 2015.

Available under a CC-BY-NC-ND license.

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