Hesitant Anti-Fuzzy Soft Set in BCK-Algebras

We introduce the notions of hesitant anti-fuzzy soft set (subalgebras and ideals) and provide relation between them. However, we study new types of hesitant anti-fuzzy soft ideals (implicative, positive implicative, and commutative). Also, we stated and proved some theorems which determine the relat...

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Main Authors: Halimah Alshehri, Noura Alshehri
Format: Article
Language:English
Published: Hindawi Limited 2017-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2017/3634258
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spelling doaj-721f35f216fd4795a709c4a0277406d02020-11-24T22:07:39ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472017-01-01201710.1155/2017/36342583634258Hesitant Anti-Fuzzy Soft Set in BCK-AlgebrasHalimah Alshehri0Noura Alshehri1Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi ArabiaDepartment of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi ArabiaWe introduce the notions of hesitant anti-fuzzy soft set (subalgebras and ideals) and provide relation between them. However, we study new types of hesitant anti-fuzzy soft ideals (implicative, positive implicative, and commutative). Also, we stated and proved some theorems which determine the relationship between these notions.http://dx.doi.org/10.1155/2017/3634258
collection DOAJ
language English
format Article
sources DOAJ
author Halimah Alshehri
Noura Alshehri
spellingShingle Halimah Alshehri
Noura Alshehri
Hesitant Anti-Fuzzy Soft Set in BCK-Algebras
Mathematical Problems in Engineering
author_facet Halimah Alshehri
Noura Alshehri
author_sort Halimah Alshehri
title Hesitant Anti-Fuzzy Soft Set in BCK-Algebras
title_short Hesitant Anti-Fuzzy Soft Set in BCK-Algebras
title_full Hesitant Anti-Fuzzy Soft Set in BCK-Algebras
title_fullStr Hesitant Anti-Fuzzy Soft Set in BCK-Algebras
title_full_unstemmed Hesitant Anti-Fuzzy Soft Set in BCK-Algebras
title_sort hesitant anti-fuzzy soft set in bck-algebras
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2017-01-01
description We introduce the notions of hesitant anti-fuzzy soft set (subalgebras and ideals) and provide relation between them. However, we study new types of hesitant anti-fuzzy soft ideals (implicative, positive implicative, and commutative). Also, we stated and proved some theorems which determine the relationship between these notions.
url http://dx.doi.org/10.1155/2017/3634258
work_keys_str_mv AT halimahalshehri hesitantantifuzzysoftsetinbckalgebras
AT nouraalshehri hesitantantifuzzysoftsetinbckalgebras
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