Hesitant Fuzzy Filters in BE-algebras

In this paper, we introduce the notion of hesitant fuzzy (implicative) filters and get some results on BE -algebras and show that every hesitant fuzzy implicative filter is a hesitant fuzzy filter but not the converse. Finally, we state and prove the relationship between hesitant fuzzy (implicative)...

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Bibliographic Details
Published inInternational journal of computational intelligence systems Vol. 9; no. 1; pp. 110 - 119
Main Authors Rezaei, Akbar, Saeid, Arsham Borumand
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.01.2016
Springer
Subjects
BE-algebra
Hesitant fuzzy (implicative) filter
Hesitant level subset
Research Article
γ-inclusive
inclusive
algebra
Hesitant fuzzy (implicative) filter
Hesitant level subset
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Summary:In this paper, we introduce the notion of hesitant fuzzy (implicative) filters and get some results on BE -algebras and show that every hesitant fuzzy implicative filter is a hesitant fuzzy filter but not the converse. Finally, we state and prove the relationship between hesitant fuzzy (implicative) filters and γ -inclusive sets.
ISSN:1875-6891
1875-6883
1875-6883
DOI:10.1080/18756891.2016.1144157