Some operations on lattice implication algebras
We introduce the concept of a ⊗-closed set and a ⊗-homomorphism in lattice implication algebras, and we discuss some of their properties. Next, we introduce the fuzzy implicative filter and obtain equivalent conditions. Finally, we discuss the operation ⊗, fuzzy filters and fuzzy implicative filters...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201006214 |
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doaj-41e70ab296a241b8a776b488e39bba5f2020-11-24T23:24:12ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-01271455210.1155/S0161171201006214Some operations on lattice implication algebrasE. H. Roh0S. Y. Kim1Y. Xu2Young Bae Jun3Department of Mathematics Education, Chinju National University of Education, Chinju 660-756, KoreaDepartment of Mathematics Education, Chinju National University of Education, Chinju 660-756, KoreaDepartment of Applied Mathematics, Southwest Jiaotong University, Sichuan, Chengdu 610031, ChinaDepartment of Mathematics Education, Gyeongsang National University, Chinju 660-701, KoreaWe introduce the concept of a ⊗-closed set and a ⊗-homomorphism in lattice implication algebras, and we discuss some of their properties. Next, we introduce the fuzzy implicative filter and obtain equivalent conditions. Finally, we discuss the operation ⊗, fuzzy filters and fuzzy implicative filters.http://dx.doi.org/10.1155/S0161171201006214 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
E. H. Roh S. Y. Kim Y. Xu Young Bae Jun |
| spellingShingle |
E. H. Roh S. Y. Kim Y. Xu Young Bae Jun Some operations on lattice implication algebras International Journal of Mathematics and Mathematical Sciences |
| author_facet |
E. H. Roh S. Y. Kim Y. Xu Young Bae Jun |
| author_sort |
E. H. Roh |
| title |
Some operations on lattice implication algebras |
| title_short |
Some operations on lattice implication algebras |
| title_full |
Some operations on lattice implication algebras |
| title_fullStr |
Some operations on lattice implication algebras |
| title_full_unstemmed |
Some operations on lattice implication algebras |
| title_sort |
some operations on lattice implication algebras |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2001-01-01 |
| description |
We introduce the concept of a ⊗-closed set
and a ⊗-homomorphism in lattice implication
algebras, and we discuss some of their properties. Next, we
introduce the fuzzy implicative filter and obtain equivalent
conditions. Finally, we discuss the operation
⊗, fuzzy filters and fuzzy implicative
filters. |
| url |
http://dx.doi.org/10.1155/S0161171201006214 |
| work_keys_str_mv |
AT ehroh someoperationsonlatticeimplicationalgebras AT sykim someoperationsonlatticeimplicationalgebras AT yxu someoperationsonlatticeimplicationalgebras AT youngbaejun someoperationsonlatticeimplicationalgebras |
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1725561372740157440 |