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A multicriteria system using gradual fuzzy rules and fuzzy arithmetic

AuthorsSandri, Sandra; Sibertin-Blanc, Christophe
KeywordsSimilarity relations
Extension principle
Fuzzy gradual rules
Multicriteria decision making
Residuated implication operators
Issue Date2008
PublisherWorld Scientific Publishing
CitationInternational Journal of Uncertainty, Fuzziness and Knowlege-Based Systems 16: 17- 34 (2008)
AbstractWe present a multicriteria fuzzy system that uses fuzzy gradual rules bases to model the users 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. © 2008 World Scientific Publishing Company.
Identifiersdoi: 10.1142/S0218488508005224
issn: 0218-4885
Appears in Collections:(IIIA) Artículos
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