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Compositions Consistent with the Modus Ponens Property Used in Approximate Reasoning

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Advances in Fuzzy Logic and Technology 2017 (EUSFLAT 2017, IWIFSGN 2017)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 643))

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Abstract

In this paper it is investigated when some kinds of aggregation functions satisfy the Modus Ponens with respect to other aggregation function, or equivalently, when they are \(\mathcal {A}\)-conditionals. Moreover, some operation connected with \(\mathcal {A}\)-conditionals is examined and used to algorithm of approximate reasoning.

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Authors and Affiliations

  1. Interdisciplinary Centre for Computational Modelling, Faculty of Mathematics and Natural Sciences, University of Rzeszów, Pigonia 1, 35-310, Rzeszów, Poland

    Barbara Pȩkala

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  1. Barbara Pȩkala
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Correspondence to Barbara Pȩkala .

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Editors and Affiliations

  1. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Janusz Kacprzyk

  2. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Eulalia Szmidt

  3. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Slawomir Zadrożny

  4. Institute of Biophysics and Biomedical Engineering, Department of Bioinformatics and Mathematical Modelling, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Krassimir T. Atanassov

  5. WIT - Warsaw School of Information Technology, Warsaw, Poland

    Maciej Krawczak

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Pȩkala, B. (2018). Compositions Consistent with the Modus Ponens Property Used in Approximate Reasoning. In: Kacprzyk, J., Szmidt, E., Zadrożny, S., Atanassov, K., Krawczak, M. (eds) Advances in Fuzzy Logic and Technology 2017. EUSFLAT IWIFSGN 2017 2017. Advances in Intelligent Systems and Computing, vol 643. Springer, Cham. https://doi.org/10.1007/978-3-319-66827-7_13

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  • DOI: https://doi.org/10.1007/978-3-319-66827-7_13

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-66826-0

  • Online ISBN: 978-3-319-66827-7

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