Uniform approach to two forms of preference information-AHP judgement matrices and fuzzy preference relation matrices in group decision making
Xiao Si-han
Abstract
Xiao Si-han
Abstract
Group decision making problems with different form of preference information are a new research topic. With regard to two forms of preference information(i.e.AHP judgement matrices and fuzzy preference relation matrices)about the alternatives provided by the decision makers, this paper proposes an approach to uniform two kinds of preference in formation by using the transformation functions. The research results of this paper lay a solid foundation for studying the integration of preference information and ranking of alternatives. Finally, a numerical example is given to illustrate the use of the proposed approach.
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Group decision making problems with different form of preference information are a new research topic. With regard to two forms of preference information(i.e.AHP judgement matrices and fuzzy preference relation matrices)about the alternatives provided by the decision makers, this paper proposes an approach to uniform two kinds of preference in formation by using the transformation functions. The research results of this paper lay a solid foundation for studying the integration of preference information and ranking of alternatives. Finally, a numerical example is given to illustrate the use of the proposed approach.
Key concepts: Judgement, Preference, Preference relation, Ranking (information retrieval), Analytic hierarchy process, Group decision-making, Relation (database), Mathematics