Aggregation of fuzzy preference relations to multicriteria decision making
Fuzzy Optimization and Decision MakingPublished 23 October 2007
Vania Peneva, Иван Попчев
Citations24
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SJR score2.17
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TL;DR
Weighted aggregation of fuzzy preference relations on the set of alternatives by several criteria in decision-making problems is considered and properties of the composition and new relation giving a possibility to make a consistent choice or to rank the alternatives are proved.
Abstract
Weighted aggregation of fuzzy preference relations on the set of alternatives by several criteria in decision-making problems is considered. Pairwise comparisons with respect to importance of the criteria are given in fuzzy preference relation as well. The aggregation procedure uses the composition between each two relations of the alternatives. The membership function of the newly constructed fuzzy preference relation includes t-norms and t-conorms to take into account the relation between the criteria importance. Properties of the composition and new relation, giving a possibility to make a consistent choice or to rank the alternatives, are proved. An illustrative numerical study and comparative examples are presented.
Keywords
Decision SciencesMathematicsEngineering
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