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A fuzzy aggregation approach to group decision‐making based on centroid measurement
Author(s) -
Wang Kanliang,
Liu Hui Min
Publication year - 2006
Publication title -
expert systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.365
H-Index - 38
eISSN - 1468-0394
pISSN - 0266-4720
DOI - 10.1111/j.1468-0394.2006.00412.x
Subject(s) - vagueness , centroid , computer science , axiom , fuzzy logic , subjectivity , group decision making , limit (mathematics) , data mining , group (periodic table) , fuzzy number , artificial intelligence , fuzzy set , algorithm , mathematical optimization , mathematics , mathematical analysis , philosophy , chemistry , geometry , organic chemistry , epistemology , political science , law
In group decision‐making situations, the decision‐makers' opinions are generally characterized by subjectivity, imprecision and vagueness. Such opinions can be represented by fuzzy numbers such as positive trapezoidal fuzzy numbers. Several aggregation methods have been proposed previously; however, there are still deficits which limit their applications. This paper proposes an aggregation method based on centroid measurement which aims to overcome some of the shortcomings. In the paper, a number of axioms are proposed. A numerical example is given at the end to illustrate the application of the proposed aggregation method.