On Extended Representable Uninorms and Their Extended Fuzzy Implications (Coimplications)

On Extended Representable Uninorms and Their Extended Fuzzy Implications (Coimplications)

In this work, by Zadeh’s extension principle, we extend representable uninorms and their fuzzy implications (coimplications) to type-2 fuzzy sets. Emphatically, we investigate in which algebras of fuzzy truth values the extended operations are type-2 uninorms and type-2 fuzzy implications (coimplica...

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Bibliographic Details
Main Author: Aifang Xie
Format: Article
Language:English
Published: MDPI AG 2017-08-01
Series:Symmetry
Subjects:
type-2 fuzzy sets
extended operations
uninorms
fuzzy implications
fuzzy coimplications
Online Access:https://www.mdpi.com/2073-8994/9/8/160
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spelling doaj-c5f7601e69884bf0b1277c010d43dd892020-11-25T00:55:09ZengMDPI AGSymmetry2073-89942017-08-019816010.3390/sym9080160sym9080160On Extended Representable Uninorms and Their Extended Fuzzy Implications (Coimplications)Aifang Xie0Department of mathematics, School of Scienece, Nanchang University, Nanchang 330031, ChinaIn this work, by Zadeh’s extension principle, we extend representable uninorms and their fuzzy implications (coimplications) to type-2 fuzzy sets. Emphatically, we investigate in which algebras of fuzzy truth values the extended operations are type-2 uninorms and type-2 fuzzy implications (coimplications), respectively.https://www.mdpi.com/2073-8994/9/8/160type-2 fuzzy setsextended operationsuninormsfuzzy implicationsfuzzy coimplications
collection DOAJ
language English
format Article
sources DOAJ
author Aifang Xie
spellingShingle Aifang Xie
On Extended Representable Uninorms and Their Extended Fuzzy Implications (Coimplications)
Symmetry
type-2 fuzzy sets
extended operations
uninorms
fuzzy implications
fuzzy coimplications
author_facet Aifang Xie
author_sort Aifang Xie
title On Extended Representable Uninorms and Their Extended Fuzzy Implications (Coimplications)
title_short On Extended Representable Uninorms and Their Extended Fuzzy Implications (Coimplications)
title_full On Extended Representable Uninorms and Their Extended Fuzzy Implications (Coimplications)
title_fullStr On Extended Representable Uninorms and Their Extended Fuzzy Implications (Coimplications)
title_full_unstemmed On Extended Representable Uninorms and Their Extended Fuzzy Implications (Coimplications)
title_sort on extended representable uninorms and their extended fuzzy implications (coimplications)
publisher MDPI AG
series Symmetry
issn 2073-8994
publishDate 2017-08-01
description In this work, by Zadeh’s extension principle, we extend representable uninorms and their fuzzy implications (coimplications) to type-2 fuzzy sets. Emphatically, we investigate in which algebras of fuzzy truth values the extended operations are type-2 uninorms and type-2 fuzzy implications (coimplications), respectively.
topic type-2 fuzzy sets
extended operations
uninorms
fuzzy implications
fuzzy coimplications
url https://www.mdpi.com/2073-8994/9/8/160
work_keys_str_mv AT aifangxie onextendedrepresentableuninormsandtheirextendedfuzzyimplicationscoimplications
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