Fuzzy Filter Spectrum of a BCK Algebra
The notion of fuzzy s-prime filters of a bounded BCK-algebra is introduced. We discuss the relation between fuzzy s-prime filters and fuzzy prime filters. By the fuzzy s-prime filters of a bounded commutative BCK-algebra X, we establish a fuzzy topological structure on X. We prove that the set of al...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2011/795934 |
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| _version_ | 1849691438921547776 |
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| author | Xiao Long Xin Wei Ji Xiu Juan Hua |
| author_facet | Xiao Long Xin Wei Ji Xiu Juan Hua |
| author_sort | Xiao Long Xin |
| collection | DOAJ |
| description | The notion of fuzzy s-prime filters of a bounded BCK-algebra is introduced. We discuss the relation between fuzzy s-prime filters and fuzzy prime filters. By the fuzzy s-prime filters of a bounded commutative BCK-algebra X, we establish a fuzzy topological structure on X. We prove that the set of all fuzzy s-prime filters of a bounded commutative BCK-algebra forms a topological space. Moreover, we show that the set of all fuzzy s-prime filters of a bounded implicative BCK-algebra is a Hausdorff space. |
| format | Article |
| id | doaj-art-e7fa755d67f94e80b69d5b43ccfaac96 |
| institution | DOAJ |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-e7fa755d67f94e80b69d5b43ccfaac962025-08-20T03:21:02ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252011-01-01201110.1155/2011/795934795934Fuzzy Filter Spectrum of a BCK AlgebraXiao Long Xin0Wei Ji1Xiu Juan Hua2Department of Mathematics, Northwest University, Xi'an 710127, ChinaDepartment of Mathematics, Northwest University, Xi'an 710127, ChinaDepartment of Mathematics, Northwest University, Xi'an 710127, ChinaThe notion of fuzzy s-prime filters of a bounded BCK-algebra is introduced. We discuss the relation between fuzzy s-prime filters and fuzzy prime filters. By the fuzzy s-prime filters of a bounded commutative BCK-algebra X, we establish a fuzzy topological structure on X. We prove that the set of all fuzzy s-prime filters of a bounded commutative BCK-algebra forms a topological space. Moreover, we show that the set of all fuzzy s-prime filters of a bounded implicative BCK-algebra is a Hausdorff space.http://dx.doi.org/10.1155/2011/795934 |
| spellingShingle | Xiao Long Xin Wei Ji Xiu Juan Hua Fuzzy Filter Spectrum of a BCK Algebra International Journal of Mathematics and Mathematical Sciences |
| title | Fuzzy Filter Spectrum of a BCK Algebra |
| title_full | Fuzzy Filter Spectrum of a BCK Algebra |
| title_fullStr | Fuzzy Filter Spectrum of a BCK Algebra |
| title_full_unstemmed | Fuzzy Filter Spectrum of a BCK Algebra |
| title_short | Fuzzy Filter Spectrum of a BCK Algebra |
| title_sort | fuzzy filter spectrum of a bck algebra |
| url | http://dx.doi.org/10.1155/2011/795934 |
| work_keys_str_mv | AT xiaolongxin fuzzyfilterspectrumofabckalgebra AT weiji fuzzyfilterspectrumofabckalgebra AT xiujuanhua fuzzyfilterspectrumofabckalgebra |