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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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Advances in Fuzzy Systems |
| Online Access: | http://dx.doi.org/10.1155/2014/842471 |
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| author | Sukhendu Kar Paltu Sarkar Kostaq Hila |
| author_facet | Sukhendu Kar Paltu Sarkar Kostaq Hila |
| author_sort | Sukhendu Kar |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-b442f67dc3bb41e1879870d49267262e |
| institution | Kabale University |
| issn | 1687-7101 1687-711X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Fuzzy Systems |
| spelling | doaj-art-b442f67dc3bb41e1879870d49267262e2025-02-03T05:58:11ZengWileyAdvances 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 |
| spellingShingle | Sukhendu Kar Paltu Sarkar Kostaq Hila Interval-Valued Semiprime Fuzzy Ideals of Semigroups Advances in Fuzzy Systems |
| title | 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_short | Interval-Valued Semiprime Fuzzy Ideals of Semigroups |
| title_sort | interval valued semiprime fuzzy ideals of semigroups |
| url | http://dx.doi.org/10.1155/2014/842471 |
| work_keys_str_mv | AT sukhendukar intervalvaluedsemiprimefuzzyidealsofsemigroups AT paltusarkar intervalvaluedsemiprimefuzzyidealsofsemigroups AT kostaqhila intervalvaluedsemiprimefuzzyidealsofsemigroups |