Hyperfuzzy Ideals in BCK/BCI-Algebras

The notions of hyperfuzzy ideals in B C K / B C I -algebras are introduced, and related properties are investigated. Characterizations of hyperfuzzy ideals are established. Relations between hyperfuzzy ideals and hyperfuzzy subalgebras are discussed. Conditions for hyperfuzzy subalgebras to b...

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Main Authors:	Seok-Zun Song, Seon Jeong Kim, Young Bae Jun
Format:	Article
Language:	English
Published:	MDPI AG 2017-12-01
Series:	Mathematics
Subjects:	hyperfuzzy set hyperfuzzy subalgebra hyperfuzzy ideal
Online Access:	https://www.mdpi.com/2227-7390/5/4/81

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spelling	doaj-0b52363d0c9b4cafbe8859f36b9a991c2020-11-24T21:48:55ZengMDPI AGMathematics2227-73902017-12-01548110.3390/math5040081math5040081Hyperfuzzy Ideals in BCK/BCI-AlgebrasSeok-Zun Song0Seon Jeong Kim1Young Bae Jun2Department of Mathematics, Jeju National University, Jeju 63243, KoreaDepartment of Mathematics, Natural Science of College, Gyeongsang National University, Jinju 52828, KoreaDepartment of Mathematics Education, Gyeongsang National University, Jinju 52828, KoreaThe notions of hyperfuzzy ideals in B C K / B C I -algebras are introduced, and related properties are investigated. Characterizations of hyperfuzzy ideals are established. Relations between hyperfuzzy ideals and hyperfuzzy subalgebras are discussed. Conditions for hyperfuzzy subalgebras to be hyperfuzzy ideals are provided.https://www.mdpi.com/2227-7390/5/4/81hyperfuzzy sethyperfuzzy subalgebrahyperfuzzy ideal
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Seok-Zun Song Seon Jeong Kim Young Bae Jun
spellingShingle	Seok-Zun Song Seon Jeong Kim Young Bae Jun Hyperfuzzy Ideals in BCK/BCI-Algebras Mathematics hyperfuzzy set hyperfuzzy subalgebra hyperfuzzy ideal
author_facet	Seok-Zun Song Seon Jeong Kim Young Bae Jun
author_sort	Seok-Zun Song
title	Hyperfuzzy Ideals in BCK/BCI-Algebras
title_short	Hyperfuzzy Ideals in BCK/BCI-Algebras
title_full	Hyperfuzzy Ideals in BCK/BCI-Algebras
title_fullStr	Hyperfuzzy Ideals in BCK/BCI-Algebras
title_full_unstemmed	Hyperfuzzy Ideals in BCK/BCI-Algebras
title_sort	hyperfuzzy ideals in bck/bci-algebras
publisher	MDPI AG
series	Mathematics
issn	2227-7390
publishDate	2017-12-01
description	The notions of hyperfuzzy ideals in B C K / B C I -algebras are introduced, and related properties are investigated. Characterizations of hyperfuzzy ideals are established. Relations between hyperfuzzy ideals and hyperfuzzy subalgebras are discussed. Conditions for hyperfuzzy subalgebras to be hyperfuzzy ideals are provided.
topic	hyperfuzzy set hyperfuzzy subalgebra hyperfuzzy ideal
url	https://www.mdpi.com/2227-7390/5/4/81
work_keys_str_mv	AT seokzunsong hyperfuzzyidealsinbckbcialgebras AT seonjeongkim hyperfuzzyidealsinbckbcialgebras AT youngbaejun hyperfuzzyidealsinbckbcialgebras
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Hyperfuzzy Ideals in BCK/BCI-Algebras

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