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Abstract

In group decision making with linguistic information, the decision makers (DMs) usually provide their assessment information by means of linguistic variables. In some situations, however, the DMs may provide fuzzy linguistic information because of time pressure, lack of knowledge, and their limited attention and information processing capabilities. In this paper, we introduce the concepts of triangular fuzzy linguistic variable and its member function, and introduce some operational laws of triangular fuzzy linguistic variables. We propose a formula for comparing triangular fuzzy linguistic variables, and develop some operators for aggregating triangular fuzzy linguistic variables, such as the fuzzy linguistic averaging (FLA) operator, fuzzy linguistic weighted averaging (FLWA) operator, fuzzy linguistic ordered weighted averaging (FLOWA) operator, and induced FLOWA (IFLOWA) operator, etc. Based on the FLWA and IFLOWA operators, we develop a practical method for group decision making with triangular fuzzy linguistic variables, and finally, an illustrative example is given to verify the feasibility and effectiveness of the developed method.

Keywords

Group Decision Linguistic Information Ordered Weighted Average Fuzzy Preference Relation Ordered Weighted Average Operator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2007

Authors and Affiliations

  • Zeshui Xu
    • 1
  1. 1.Department of Management Science and Engineering, School of Economics and Management, Tsinghua University, Beijing 100084China

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