Kinds of t-fuzzy Filters of Fuzzy Lattices

Abdelaziz Amroune; Ali Oumhani; Bijan Davvaz

doi:10.1016/j.fiae.2017.09.005

Fuzzy Information and Engineering (Sep 2017)

Kinds of t-fuzzy Filters of Fuzzy Lattices

Abdelaziz Amroune,
Ali Oumhani,
Bijan Davvaz

Affiliations

Abdelaziz Amroune: Laboratory of pure and applied mathematics, University of M’sila, P. O. BOX 166 , Icheblia, M’sila 28000, Algeria
Ali Oumhani: Laboratory of pure and applied mathematics, University of M’sila, P. O. BOX 166 , Icheblia, M’sila 28000, Algeria
Bijan Davvaz: Department of Mathematics, Yazd University, Yazd, Iran

DOI: https://doi.org/10.1016/j.fiae.2017.09.005
Journal volume & issue: Vol. 9, no. 3
pp. 325 – 343

Abstract

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The starting point of this work comes from the results obtained by Inheung Chon in his paper “Fuzzy partial order relations and fuzzy lattices”. In this way, some characterizations of filters and prime filters are given. Also, we characterize fuzzy t-filters and fuzzy prime t-filters using their α-cuts. Finally, we give necessary and sufficient conditions under which a fuzzy set is a prime t-filter, presenting the notion of fuzzy lattices isomorphism.

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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