Fuzzy-Fated Filters of 𝑅0-Algebras
Fuzzy set theory of fated filters in 𝑅0-algebras is considered. A characterization of a fuzzy-fated filter is established, and conditions for a fuzzy filter to be a fuzzy-fated filter are provided. The notion of an (∈,∈∨𝑞)-fuzzy-fated filter is introduced. Characterizations of an (∈,∈∨𝑞)-fuzzy-fated...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2011/980315 |
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| _version_ | 1849467726300446720 |
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| author | Jeong Soon Han Young Bae Jun Hee Sik Kim |
| author_facet | Jeong Soon Han Young Bae Jun Hee Sik Kim |
| author_sort | Jeong Soon Han |
| collection | DOAJ |
| description | Fuzzy set theory of fated filters in 𝑅0-algebras is considered. A characterization
of a fuzzy-fated filter is established, and conditions for a fuzzy filter to
be a fuzzy-fated filter are provided. The notion of an (∈,∈∨𝑞)-fuzzy-fated
filter is introduced. Characterizations of an (∈,∈∨𝑞)-fuzzy-fated filter are provided. Implication-based fuzzy-fated filters are discussed. |
| format | Article |
| id | doaj-art-e00e3a10752b4e6bb5102d360153c3d1 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-e00e3a10752b4e6bb5102d360153c3d12025-08-20T03:26:05ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2011-01-01201110.1155/2011/980315980315Fuzzy-Fated Filters of 𝑅0-AlgebrasJeong Soon Han0Young Bae Jun1Hee Sik Kim2Department of Applied Mathematics, Hanyang University, Ansan 426-791, Republic of KoreaDepartment of Mathematics Education (and RINS), Gyeongsang National University, Chinju 660-701, Republic of KoreaDepartment of Mathematics, Research Institute for Natural Sciences, Hanyang University, Seoul 133-791, Republic of KoreaFuzzy set theory of fated filters in 𝑅0-algebras is considered. A characterization of a fuzzy-fated filter is established, and conditions for a fuzzy filter to be a fuzzy-fated filter are provided. The notion of an (∈,∈∨𝑞)-fuzzy-fated filter is introduced. Characterizations of an (∈,∈∨𝑞)-fuzzy-fated filter are provided. Implication-based fuzzy-fated filters are discussed.http://dx.doi.org/10.1155/2011/980315 |
| spellingShingle | Jeong Soon Han Young Bae Jun Hee Sik Kim Fuzzy-Fated Filters of 𝑅0-Algebras Discrete Dynamics in Nature and Society |
| title | Fuzzy-Fated Filters of 𝑅0-Algebras |
| title_full | Fuzzy-Fated Filters of 𝑅0-Algebras |
| title_fullStr | Fuzzy-Fated Filters of 𝑅0-Algebras |
| title_full_unstemmed | Fuzzy-Fated Filters of 𝑅0-Algebras |
| title_short | Fuzzy-Fated Filters of 𝑅0-Algebras |
| title_sort | fuzzy fated filters of 𝑅0 algebras |
| url | http://dx.doi.org/10.1155/2011/980315 |
| work_keys_str_mv | AT jeongsoonhan fuzzyfatedfiltersofr0algebras AT youngbaejun fuzzyfatedfiltersofr0algebras AT heesikkim fuzzyfatedfiltersofr0algebras |