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handle: 10261/159998
We present a multicriteria fuzzy system that uses fuzzy gradual rules bases to model the user's preferences and fuzzy arithmetic to aggregate the results issued by the bases. We first present a multicriteria problem and its solution for the case of precise information. Then we extend the model to treat pieces of information that may involve imprecision/vagueness. We show that the use of residuated implication operators (employed by gradual rules), coupled with similarity relations (to guarantee consistency), offer a better treatment of the problem than a Mamdani-like approach. We illustrate the various features of the system by means of a simple example and describe an application of the formalism to social games.
Extension principle, Multicriteria decision making, Residuated implication operators, Similarity relations, Fuzzy gradual rules
Extension principle, Multicriteria decision making, Residuated implication operators, Similarity relations, Fuzzy gradual rules
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