Fuzzy Order Filters in Adjoint Semigroups of BCK-Algebras |
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| Authors: | S. W. Kuresh Wenping Huang |
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| Affiliation: | (1) Department of Mathematics, Xinjiang Normal University, Urumqi, 830053, China;(2) Department of Mathematics, Shaanxi Normal University, Xi!["rsquo"]("/content/pt677842426rg071/xlarge8217.gif") an, 710062, China |
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| Abstract: | In this paper, we introduce the notion of fuzzy order filters in adjoint semigroups of BCK-algebras. We prove that there is a bijection between the fuzzy ideals of BCK-algebras X and the fuzzy order filters in the adjoint semigroup M(X) of X.AMS Subject Classification (2000) 06F35 03G25 20M10 |
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| Keywords: | BCK-algebra adjoint semigroup fuzzy ideal fuzzy order filter |
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