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A Multicriteria Fuzzy System Using Residuated Implication Operators and Fuzzy Arithmetic

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Book cover Modeling Decisions for Artificial Intelligence (MDAI 2007)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4617))

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.

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Author information

Authors and Affiliations

  1. IIIA, Artificial Intelligence Research Institute CSIC, Spanish National Research Council Campus UAB, 08193 Bellaterra, Catalonia, Spain

    Sandra Sandri & Vicenç Torra

  2. IRIT, Université Toulouse 1, 21 Allées de Brienne, 31042 Toulouse Cedex, France

    Christophe Sibertin-Blanc

Authors
  1. Sandra Sandri
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  2. Christophe Sibertin-Blanc
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  3. Vicenç Torra
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Editor information

Vicenç Torra Yasuo Narukawa Yuji Yoshida

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© 2007 Springer-Verlag Berlin Heidelberg

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Sandri, S., Sibertin-Blanc, C., Torra, V. (2007). A Multicriteria Fuzzy System Using Residuated Implication Operators and Fuzzy Arithmetic. In: Torra, V., Narukawa, Y., Yoshida, Y. (eds) Modeling Decisions for Artificial Intelligence. MDAI 2007. Lecture Notes in Computer Science(), vol 4617. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73729-2_6

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  • DOI: https://doi.org/10.1007/978-3-540-73729-2_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-73728-5

  • Online ISBN: 978-3-540-73729-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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