Group decision-making procedure based on incomplete reciprocal relations

Authors:
Zeshui Xu;Jian Chen
Affiliations:
Tsinghua University, Department of Management Science and Engineering, School of Economics and Management, 100084, Beijing, China;Tsinghua University, Department of Management Science and Engineering, School of Economics and Management, 100084, Beijing, China
Venue:
Soft Computing - A Fusion of Foundations, Methodologies and Applications
Year:
2008

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Abstract

Xu (Int J Approx Reason 36:261–270, 2004) introduced the concepts of incomplete reciprocal relation and additive consistent incomplete reciprocal relation. The aim of this paper is to develop a novel procedure for group decision making with incomplete reciprocal relations. The procedure utilizes each given incomplete reciprocal relation to construct an auxiliary reciprocal relation based on additive transitivity, and then aggregates directly these auxiliary reciprocal relations into a collective auxiliary reciprocal relation. After that, based on the collective auxiliary reciprocal relation, a simple linear system of equations is established for ranking alternatives. Finally, a numerical example is given to illustrate the developed procedure.