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

  • Authors:
  • Zeshui Xu

  • Affiliations:
  • Department of Management Science and Engineering, School of Economics and Management, Tsinghua University, Beijing, China 100084

  • Venue:
  • Fuzzy Optimization and Decision Making
  • Year:
  • 2006

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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.