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• W2116780541 abstract "Since transitivity is quite often violated even by decision makers that accept transitivity in their preferences as a condition for consistency, a standard approach to deal with intransitive preference elicitations is the search for a close enough transitive preference relation, assuming that such a violation is mainly due to decision maker estimation errors. In some way, the more number of elicitations, the more probable inconsistency is. This is mostly the case within a fuzzy framework, even when the number of alternatives or object to be classified is relatively small. In this paper we propose a fast method to compute a T-indistinguishability from a reflexive and symmetric fuzzy relation, being T any left-continuous t-norm. The computed approximation we propose will take O(n3) time complexity, where n is the number of elements under consideration, and is expected to produce a T-transitive opening. To the authors’ knowledge, there are no other proposed algorithm that computes T-transitive lower approximations or openings while preserving the reflexivity and symmetry properties." @default.
• W2116780541 created "2016-06-24" @default.
• W2116780541 creator A5037617786 @default.
• W2116780541 creator A5039625831 @default.
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• W2116780541 date "2009-07-01" @default.
• W2116780541 modified "2023-10-01" @default.
• W2116780541 title "Computing a T-transitive lower approximation or opening of a proximity relation" @default.
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• W2116780541 doi "https://doi.org/10.1016/j.fss.2009.01.015" @default.
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