Fuzzy positive implicative ordered filters of implicative semigroups
We consider the fuzzification of the notion of a positive implicative ordered filter in implicative semigroups. We show that every fuzzy positive implicative ordered filter is both a fuzzy ordered filter and a fuzzy implicative ordered filter. We give examples that a fuzzy (implicative) ordered filt...
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| Format: | Article |
| Language: | English |
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Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202109045 |
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| _version_ | 1832568007139786752 |
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| author | Young Bae Jun Young Hee Kim Hee Sik Kim |
| author_facet | Young Bae Jun Young Hee Kim Hee Sik Kim |
| author_sort | Young Bae Jun |
| collection | DOAJ |
| description | We consider the fuzzification of the notion of a positive implicative ordered filter in implicative semigroups. We show that every fuzzy positive implicative ordered filter is both a fuzzy ordered filter and a fuzzy implicative ordered filter. We give examples that a fuzzy (implicative) ordered filter may not be a fuzzy positive implicative ordered filter. We also state equivalent conditions of fuzzy positive implicative ordered filters. Finally, we establish an extension property for fuzzy positive implicative ordered filters. |
| format | Article |
| id | doaj-art-7b89e212cbaa43b5aa5db39ece0b2e54 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-7b89e212cbaa43b5aa5db39ece0b2e542025-02-03T00:59:59ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-0132526327010.1155/S0161171202109045Fuzzy positive implicative ordered filters of implicative semigroupsYoung Bae Jun0Young Hee Kim1Hee Sik Kim2Department of Mathematics Education, Gyeongsang National University, Chinju 660-701, KoreaDepartment of Mathematics, Chungbuk National University, Chongju 361-763, KoreaDepartment of Mathematics, Hanyang University, Seoul 133-791, KoreaWe consider the fuzzification of the notion of a positive implicative ordered filter in implicative semigroups. We show that every fuzzy positive implicative ordered filter is both a fuzzy ordered filter and a fuzzy implicative ordered filter. We give examples that a fuzzy (implicative) ordered filter may not be a fuzzy positive implicative ordered filter. We also state equivalent conditions of fuzzy positive implicative ordered filters. Finally, we establish an extension property for fuzzy positive implicative ordered filters.http://dx.doi.org/10.1155/S0161171202109045 |
| spellingShingle | Young Bae Jun Young Hee Kim Hee Sik Kim Fuzzy positive implicative ordered filters of implicative semigroups International Journal of Mathematics and Mathematical Sciences |
| title | Fuzzy positive implicative ordered filters of implicative semigroups |
| title_full | Fuzzy positive implicative ordered filters of implicative semigroups |
| title_fullStr | Fuzzy positive implicative ordered filters of implicative semigroups |
| title_full_unstemmed | Fuzzy positive implicative ordered filters of implicative semigroups |
| title_short | Fuzzy positive implicative ordered filters of implicative semigroups |
| title_sort | fuzzy positive implicative ordered filters of implicative semigroups |
| url | http://dx.doi.org/10.1155/S0161171202109045 |
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