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Intuitionistic Fuzzy Complete Lattices

  • Soheyb Milles
  • Ewa RakEmail author
  • Lemnaouar Zedam
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (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.

Keywords

Intuitionistic fuzzy set Intuitionistic fuzzy order Intuitionistic fuzzy complete lattice Tarski-Davis fixed point theorem 

Notes

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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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Laboratory of Pure and Applied Mathematics, Department of MathematicsMed Boudiaf University—MsilaMsilaAlgeria
  2. 2.Faculty of Mathematics and Natural SciencesUniversity of RzeszówRzeszówPoland

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