Interval-Valued Semiprime Fuzzy Ideals of Semigroups

Interval-Valued Semiprime Fuzzy Ideals of Semigroups

We introduce the notion of (i-v) semiprime (irreducible) fuzzy ideals of semigroups and investigate its different algebraic properties. We study the interrelation among (i-v) prime fuzzy ideals, (i-v) semiprime fuzzy ideals, and (i-v) irreducible fuzzy ideals and characterize regular semigroups by u...

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Main Authors: Sukhendu Kar, Paltu Sarkar, Kostaq Hila
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Advances in Fuzzy Systems
Online Access:http://dx.doi.org/10.1155/2014/842471
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spelling doaj-b442f67dc3bb41e1879870d49267262e2020-11-24T21:40:29ZengHindawi LimitedAdvances in Fuzzy Systems1687-71011687-711X2014-01-01201410.1155/2014/842471842471Interval-Valued Semiprime Fuzzy Ideals of SemigroupsSukhendu Kar0Paltu Sarkar1Kostaq Hila2Department of Mathematics, Jadavpur University, Kolkata, West Bengal 700032, IndiaDepartment of Mathematics, Jadavpur University, Kolkata, West Bengal 700032, IndiaDepartment of Mathematics & Computer Science, University of Gjirokastra, Gjirokastra 6001, AlbaniaWe introduce the notion of (i-v) semiprime (irreducible) fuzzy ideals of semigroups and investigate its different algebraic properties. We study the interrelation among (i-v) prime fuzzy ideals, (i-v) semiprime fuzzy ideals, and (i-v) irreducible fuzzy ideals and characterize regular semigroups by using these (i-v) fuzzy ideals.http://dx.doi.org/10.1155/2014/842471
collection DOAJ
language English
format Article
sources DOAJ
author Sukhendu Kar
Paltu Sarkar
Kostaq Hila
spellingShingle Sukhendu Kar
Paltu Sarkar
Kostaq Hila
Interval-Valued Semiprime Fuzzy Ideals of Semigroups
Advances in Fuzzy Systems
author_facet Sukhendu Kar
Paltu Sarkar
Kostaq Hila
author_sort Sukhendu Kar
title Interval-Valued Semiprime Fuzzy Ideals of Semigroups
title_short Interval-Valued Semiprime Fuzzy Ideals of Semigroups
title_full Interval-Valued Semiprime Fuzzy Ideals of Semigroups
title_fullStr Interval-Valued Semiprime Fuzzy Ideals of Semigroups
title_full_unstemmed Interval-Valued Semiprime Fuzzy Ideals of Semigroups
title_sort interval-valued semiprime fuzzy ideals of semigroups
publisher Hindawi Limited
series Advances in Fuzzy Systems
issn 1687-7101
1687-711X
publishDate 2014-01-01
description We introduce the notion of (i-v) semiprime (irreducible) fuzzy ideals of semigroups and investigate its different algebraic properties. We study the interrelation among (i-v) prime fuzzy ideals, (i-v) semiprime fuzzy ideals, and (i-v) irreducible fuzzy ideals and characterize regular semigroups by using these (i-v) fuzzy ideals.
url http://dx.doi.org/10.1155/2014/842471
work_keys_str_mv AT sukhendukar intervalvaluedsemiprimefuzzyidealsofsemigroups
AT paltusarkar intervalvaluedsemiprimefuzzyidealsofsemigroups
AT kostaqhila intervalvaluedsemiprimefuzzyidealsofsemigroups
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