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Intuitionistic Fuzzy Complete Lattices

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Book cover Novel Developments in Uncertainty Representation and Processing

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 401))

Abstract

In this paper, the concept of intuitionistic complete lattices is introduced. Some characterizations of such intuitionistic complete lattices are given. The Tarski-Davis fixed point theorem for intuitionistic fuzzy complete lattices is proved, which establish an other criterion for completeness of intuitionistic fuzzy complete lattices in terms of fixed points of intuitionistic monotone maps.

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Acknowledgments

This work is partially supported by the Centre for Innovation and Transfer of Natural Sciences and Engineering Knowledge No RPPK.\(01.03.00{-}18{-}001{/}10\).

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Authors and Affiliations

  1. Laboratory of Pure and Applied Mathematics, Department of Mathematics, Med Boudiaf University—Msila, Msila, Algeria

    Soheyb Milles & Lemnaouar Zedam

  2. Faculty of Mathematics and Natural Sciences, University of Rzeszów, Rzeszów, Poland

    Ewa Rak

Authors
  1. Soheyb Milles
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  2. Ewa Rak
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  3. Lemnaouar Zedam
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Corresponding author

Correspondence to Ewa Rak .

Editor information

Editors and Affiliations

  1. Inst. of Biophy. & Biomedical Eng., Bulgarian Academy of Sciences, Sofia, Bulgaria

    Krassimir T. Atanassov

  2. Division of Graduate Studies, Tijuana Institute of Technology, Tijuana, Baja California, Mexico

    Oscar Castillo

  3. Sys Res Intit of Polish Acad of Science, Intelligent Systems Laboratory, Warsaw, Poland

    Janusz Kacprzyk

  4. Warsaw School of Information Technology, Polish Academy of Sciences, Warsaw, Poland

    Maciej Krawczak

  5. Div of Gdu Stud,CalzTecn sn,Fra.TomAqu, Tijuana Institute of Technology, Tijuana, Baja California, Mexico

    Patricia Melin

  6. Intelligent Systems Laboratory, Asen Zlatarov University, Bourgas, Bulgaria

    Sotir Sotirov

  7. Intelligent Systems Laboratory, “Prof. Dr. Asen Zlatarov” University, Burgas, Bulgaria

    Evdokia Sotirova

  8. Systems Research Institute, Polish Academy of Sciences, Warszawa, Poland

    Eulalia Szmidt

  9. Dept. of Tele. & Info. Processing, Ghent University, Gent, Belgium

    Guy De Tré

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

    Sławomir Zadrożny

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Milles, S., Rak, E., Zedam, L. (2016). Intuitionistic Fuzzy Complete Lattices. In: Atanassov, K., et al. Novel Developments in Uncertainty Representation and Processing. Advances in Intelligent Systems and Computing, vol 401. Springer, Cham. https://doi.org/10.1007/978-3-319-26211-6_13

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  • DOI: https://doi.org/10.1007/978-3-319-26211-6_13

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-26210-9

  • Online ISBN: 978-3-319-26211-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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