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Intuitionistic Fuzzy Relational Equations in \(BL-\)Algebras

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Imprecision and Uncertainty in Information Representation and Processing

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 332))

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Abstract

We investigate direct and inverse problem resolution for intuitionistic fuzzy relational equations in some \(BL-\)algebras, when the composition for the membership degrees is a \(\sup -t-\)norm and for non-membership degrees is an \(\inf -s-\)norm. Criterion for solvability of intuitionistic fuzzy relational equation is proposed and analytical expressions for maximal solution is given.

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Author information

Authors and Affiliations

  1. Faculty of Applied Mathematics and Informatics, Technical University of Sofia, 8, Kl. Ohridski St., Sofia, 1000, Bulgaria

    Ketty Peeva

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  1. Ketty Peeva
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Correspondence to Ketty Peeva .

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Editors and Affiliations

  1. School of Computing and Communications, Lancaster University Bailrigg, Lancaster, United Kingdom

    Plamen Angelov

  2. Intelligent Systems Laboratory, Prof. Assen Zlatarov University, Bourgas, Bulgaria

    Sotir Sotirov

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Peeva, K. (2016). Intuitionistic Fuzzy Relational Equations in \(BL-\)Algebras. In: Angelov, P., Sotirov, S. (eds) Imprecision and Uncertainty in Information Representation and Processing. Studies in Fuzziness and Soft Computing, vol 332. Springer, Cham. https://doi.org/10.1007/978-3-319-26302-1_6

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  • DOI: https://doi.org/10.1007/978-3-319-26302-1_6

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-26301-4

  • Online ISBN: 978-3-319-26302-1

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