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The Fixed Point Property for Intuitionistic Fuzzy Lattices

The Fixed Point Property for Intuitionistic 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.2017.09.007 http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Fuzzy Information and Engineering Taylor & Francis

The Fixed Point Property for Intuitionistic Fuzzy Lattices

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The Fixed Point Property for Intuitionistic Fuzzy Lattices

Abstract

AbstractIn 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...
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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.2017.09.007
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.2017.09.007

Journal

Fuzzy Information and Engineering – Taylor & Francis

Published: Sep 1, 2017

Keywords: Atanassov’ intuitionistic fuzzy set; Intuitionistic fuzzy relation; Intuitionistic fuzzy lattice; Fixed point property

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