A Multicriteria Fuzzy System Using Residuated Implication Operators and Fuzzy Arithmetic

Authors:
Sandra Sandri;Christophe Sibertin-Blanc;Vicenç Torra
Affiliations:
IIIA, Artificial Intelligence Research Institute CSIC, Spanish National Research Council Campus UAB, 08193 Bellaterra, Catalonia, Spain;IRIT, Université Toulouse 1, 21 Allées de Brienne, 31042 Toulouse Cedex, France;IIIA, Artificial Intelligence Research Institute CSIC, Spanish National Research Council Campus UAB, 08193 Bellaterra, Catalonia, Spain
Venue:
MDAI '07 Proceedings of the 4th international conference on Modeling Decisions for Artificial Intelligence
Year:
2007

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Abstract

We present a multicriteria fuzzy system using gradual rules and fuzzy arithmetic. 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 offer a better treatment of the problem than a Mamdani-like approach.