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Fuzzy Optimization and Decision Making

, Volume 5, Issue 1, pp 21–32 | Cite as

A Direct Approach to Group Decision Making with Uncertain Additive Linguistic Preference Relations

  • Zeshui XuEmail author
Article

Abstract

In this paper, we study the group decision-making problem in which the preference information given by experts takes the form of uncertain additive linguistic preference relations. We define the concept of uncertain additive linguistic preference relation, and introduce a formula based on possibility measure for comparing two uncertain linguistic preference values. We introduce some aggregation operators such as the uncertain linguistic averaging (ULA) operator and uncertain linguistic weighted averaging (ULWA) operator, etc. Based on the ULA and ULWA operators, we develop a direct approach to group decision making with uncertain additive linguistic preference relations without loss of information. Finally, an illustrative numerical example is given to verify the developed approach.

Keywords

group decision making uncertain additive linguistic preference relations uncertain linguistic averaging (ULA) operator uncertain linguistic weighted averaging (ULWA) operator 

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Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  1. 1.Department of Management Science and Engineering, School of Economics and ManagementTsinghua UniversityBeijingChina

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