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Some Class of Uninorms in Interval Valued Fuzzy Set Theory

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Intelligent Systems'2014

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 322))

Abstract

Uninorms are an important generalization of triangular norms and triangular conorms. Uninorms allow the neutral element to lie anywhere in the unit interval rather than at zero or one as in the case of a t-norm and a t-conorm.

Since interval valued fuzzy sets, Atanassov’s intuitionistic fuzzy sets and L I-fuzzy sets are equipollent, therefore in this paper we describe a generalization of uninorms on L I. For example, we describe the structure of uninorms, discuss the possible values of the zero element for uninorms and of the neutral element, especially for decomposable uninorms.

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Author information

Authors and Affiliations

  1. Faculty of Mathematics and Natural Sciences, University of Rzeszów, 35-959, Rzeszów, ul. Pigonia 1, Poland

    Paweł Drygaś

Authors
  1. Paweł Drygaś
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Correspondence to Paweł Drygaś .

Editor information

Editors and Affiliations

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

    P. Angelov

  2. Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Sofia, Bulgaria

    K.T. Atanassov

  3. Intelligent Systems Department, Bulgarian Academy of Sciences Inst. of Infor. & Communication Techn., Sofia, Bulgaria

    L. Doukovska

  4. Metalurgy, University of Chemical Technology and, Sofia, Bulgaria

    M. Hadjiski

  5. University of Library Studies and IT (ULSIT), Sofia, Bulgaria

    V. Jotsov

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

    J. Kacprzyk

  7. Knowledge Engineering and Discovery Research Institute, Auckland University of Technology, Auckland, New Zealand

    N. Kasabov

  8. Intelligent Systems Laboratory, Prof. Assen Zlatarov University Faculty of Technical Sciences, Bourgas, Bulgaria

    S. Sotirov

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

    E. Szmidt

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

    S. Zadrożny

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Drygaś, P. (2015). Some Class of Uninorms in Interval Valued Fuzzy Set Theory. In: Angelov, P., et al. Intelligent Systems'2014. Advances in Intelligent Systems and Computing, vol 322. Springer, Cham. https://doi.org/10.1007/978-3-319-11313-5_4

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  • DOI: https://doi.org/10.1007/978-3-319-11313-5_4

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-11312-8

  • Online ISBN: 978-3-319-11313-5

  • eBook Packages: EngineeringEngineering (R0)

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