The Fixed Point Property for Intuitionistic Fuzzy Lattices

Lemnaouar Zedam; Soheyb Milles; Ewa Rak

doi:10.1016/j.fiae.2017.09.007

Fuzzy Information and Engineering (Sep 2017)

The Fixed Point Property for Intuitionistic Fuzzy Lattices

Lemnaouar Zedam,
Soheyb Milles,
Ewa Rak

Affiliations

Lemnaouar Zedam: Laboratory of Pure and Applied Mathematics, Department of Mathematics, Med Boudiaf University of Msila, P.O. Box 166 Ichbilia, M’sila, 28105, Algeria
Soheyb Milles: Laboratory of Pure and Applied Mathematics, Department of Mathematics, Med Boudiaf University of Msila, P.O. Box 166 Ichbilia, M’sila, 28105, Algeria
Ewa Rak: Faculty of Mathematics and Natural Sciences, University of Rzeszów, Poland

DOI: https://doi.org/10.1016/j.fiae.2017.09.007
Journal volume & issue: Vol. 9, no. 3
pp. 359 – 380

Abstract

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In this paper, based on the concept of intuitionistic fuzzy lattice previously introduced by Tripathy and his colleagues, a class of intuitionistic fuzzy complete lattices is proposed with some interesting characterizations given. In particular, we show the fixed point property for this proposed class. Conversely, we show that any intuitionistic fuzzy lattice is complete having its fixed point property. These results establish a criterion for completeness of intuitionistic fuzzy lattices in terms of the fixed points of their intuitionistic fuzzy monotone mappings.

Published in Fuzzy Information and Engineering

ISSN: 1616-8658 (Print); 1616-8666 (Online)
Publisher: Tsinghua University Press
Country of publisher: China
LCC subjects: Technology: Engineering (General). Civil engineering (General); Science: Mathematics
Website: https://www.sciopen.com/journal/1616-8658

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