FALLING FUZZY COMMUTATIVE IDEALS OF BCK-ALGEBRAS
نویسندگان
چکیده
منابع مشابه
ON n-FOLD FUZZY IMPLICATIVE/COMMUTATIVE IDEALS OF BCK-ALGEBRAS
We consider the fuzzification of the notion of an n-fold implicative ideal, an n-fold (weak) commutative ideal. We give characterizations of an n-fold fuzzy implicative ideal. We establish an extension property for n-fold fuzzy commutative ideals. 2000 Mathematics Subject Classification. 06F35, 03G25, 03E72.
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متن کاملNeutrosophic Commutative N -Ideals in BCK-Algebras
Seok-Zun Song 1,* ID , Florentin Smarandache 2 and Young Bae Jun 3 1 Department of Mathematics, Jeju National University, Jeju 63243, Korea 2 Department of Mathematics & Science, University of New Mexico, 705 Gurley Ave., Gallup, NM 87301, USA; [email protected] 3 Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea; [email protected] * Correspondence: sz...
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The intuitionistic fuzzification of (strong, weak, s-weak) hyperBCK-ideals is introduced, and related properties are investigated. Characterizationsof an intuitionistic fuzzy hyper BCK-ideal are established. Using acollection of hyper BCK-ideals with some conditions, an intuitionistic fuzzyhyper BCK-ideal is built.
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We consider the intuitionistic fuzzification of the concept of prime ideals in commutative BCK-algebras, and investigate some of their properties. We show that if P is a prime ideal of commutative BCK-algebra X iff ∼ P = 〈XP , − XP 〉 is an intuitionistic fuzzy prime ideal of X. We also prove that An IFS A = 〈μA, λA〉 of commutative BCK-algebra X is an intuitionistic fuzzy prime ideal of X if and...
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ژورنال
عنوان ژورنال: The Pure and Applied Mathematics
سال: 2011
ISSN: 1226-0657
DOI: 10.7468/jksmeb.2011.18.1.041