Optimal Weight Determination and Consensus Formation under Fuzzy Linguistic Environment | Zendy

Yejun Xu | Zendy; Huimin Wang | Zendy

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Optimal Weight Determination and Consensus Formation under Fuzzy Linguistic Environment

Author(s) -

Yejun Xu,

Huimin Wang

Publication year - 2013

Publication title -

procedia computer science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.334

H-Index - 76

ISSN - 1877-0509

DOI - 10.1016/j.procs.2013.05.062

Subject(s) - computer science , preference , fuzzy logic , index (typography) , group decision making , process (computing) , value (mathematics) , fuzzy number , weighted arithmetic mean , artificial intelligence , algorithm , fuzzy set , mathematical optimization , mathematics , machine learning , statistics , law , world wide web , operating system , political science

This paper deals with the consensus problem from the linguistic preference relations. The linguistic variables are transformed into triangular fuzzy numbers. Then an optimal consensus model is proposed to derive weights for fuzzy triangular fuzzy preference relations. An iterative algorithm is presented to describe the consensus reaching process. By changing the weights and modifying a pair of individual's comparison judgments which have largest deviation value to the group judgments, the consensus reaching process can terminate while both individual consensus index (ICI) and group consensus index (GCI) are controlled with predefined thresholds. The algorithm aims to preserve the decision-makers’ original information as much as possible. Finally, an example is given to show the effectiveness of the proposed method

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