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Kinds of t-fuzzy Filters of Fuzzy Lattices

Kinds of t-fuzzy Filters of Fuzzy Lattices This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/). http://dx.doi.org/10.1016/j.fiae.2017.09.005 http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Fuzzy Information and Engineering Taylor & Francis

Kinds of t-fuzzy Filters of Fuzzy Lattices

Kinds of t-fuzzy Filters of Fuzzy Lattices

Abstract

AbstractThe 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 -filters and fuzzy prime -filters using their -cuts. Finally, we give necessary and sufficient conditions under which a fuzzy set is a prime -filter, presenting the notion of fuzzy lattices isomorphism.
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Publisher
Taylor & Francis
Copyright
© 2017 Fuzzy Information and Engineering Branch of the Operations Research Society of China. Production and hosting by Elsevier B.V. All rights reserved.
ISSN
1616-8666
eISSN
1616-8658
DOI
10.1016/j.fiae.2017.09.005
Publisher site
See Article on Publisher Site

Abstract

This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/). http://dx.doi.org/10.1016/j.fiae.2017.09.005

Journal

Fuzzy Information and EngineeringTaylor & Francis

Published: Sep 1, 2017

Keywords: Filters; Fuzzy filters; Prime filters; Fuzzy prime filters; Lattices isomorphisms

References