Aggregation of fuzzy preference relations to multicriteria decision making |
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Authors: | Vania Peneva Ivan Popchev |
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Institution: | (1) Institute of Information Technologies, Acad. G. Bonchev Str., Bl. 2, 1113 Sofia, Bulgaria |
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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. |
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Keywords: | Fuzzy preference relations Composition of fuzzy relations Transitivity properties T-norms T-conorms Aggregation operators Decision making |
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