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Similarity of L-fuzzy Relations Based on L-topologies Induced by L-fuzzy Rough Approximation Operators

Similarity of L-fuzzy Relations Based on L-topologies Induced by L-fuzzy Rough Approximation... 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.2017.03.002 http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Fuzzy Information and Engineering Taylor & Francis

Similarity of L-fuzzy Relations Based on L-topologies Induced by L-fuzzy Rough Approximation Operators

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Similarity of L-fuzzy Relations Based on L-topologies Induced by L-fuzzy Rough Approximation Operators

Abstract

AbstractThis paper proposes similarity of L-fuzzy relations based on L-topologies induced by L-fuzzy rough approximation operators. First, the notion L-fuzzy rough set is generalized and the relationship between generalized L-fuzzy rough sets and L-topologies on an arbitrary universe is investigated. It shows that Alexandrov L-topologies can be induced by L-fuzzy relations without any preconditions. Second, the concept of similarity of L-fuzzy relations is introduced and variations of an...
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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.2017.03.002
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.2017.03.002

Journal

Fuzzy Information and Engineering – Taylor & Francis

Published: Mar 1, 2017

Keywords: L-fuzzy relation; Similarity; L-topology; Generalized L-fuzzy rough set; Generalized residuated lattice

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