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Generalized Conjunction, Disjunction and Negation Operations in Fuzzy Modeling

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Neural Networks and Soft Computing

Part of the book series: Advances in Soft Computing ((AINSC,volume 19))

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Abstract

Generalized operations of fuzzy logic are considered. New methods of generation of involutive, contracting and expanding negations are proposed. The methods of generation of simple parametric classes of non-associative conjunctions are discussed. The ways of embedding of strict monotonic conjunction and disjunction operations on ordinal scales based on the concept of lexicographic valuation (uncertainty with memory) and aimed to application in expert systems are described.

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Author information

Authors and Affiliations

  1. Institute of Informatics Problems, Academy of Sciences of Tatarstan, Kazan State Technological University, K.Marx st., 68, Kazan, 420015, Russia

    Ildar Batyrshin

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  1. Ildar Batyrshin
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Editors and Affiliations

  1. Department of Computer Engineering, Technical University Częstochowa, Al. Armii Krajowej 36, 42-200, Częstochowa, Poland

    Leszek Rutkowski

  2. Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01-447, Warsaw, Poland

    Janusz Kacprzyk

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© 2003 Springer-Verlag Berlin Heidelberg

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Batyrshin, I. (2003). Generalized Conjunction, Disjunction and Negation Operations in Fuzzy Modeling. In: Rutkowski, L., Kacprzyk, J. (eds) Neural Networks and Soft Computing. Advances in Soft Computing, vol 19. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-1902-1_5

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  • DOI: https://doi.org/10.1007/978-3-7908-1902-1_5

  • Publisher Name: Physica, Heidelberg

  • Print ISBN: 978-3-7908-0005-0

  • Online ISBN: 978-3-7908-1902-1

  • eBook Packages: Springer Book Archive

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