منابع مشابه
Filteristic soft BCK-algebras
We study the soft sets applied on the structure of filters of BCK-algebras. A connection between soft BCK-algebras and filteristic soft BCK-algebras is given also. Finally, important operations such as intersection, union, “AND”, “OR”, and subset operations of soft filters and filteristic soft BCK-algebras are investigated.
متن کاملPseudo-Commutators in BCK-Algebras
In this paper, we introduced the concept of pseudo-commutators in BCK-algebras and then we state and prove some related theorems on these notions. Mathematics Subject Classification: Primary: 06F35 ; Secondary: 08A05, 03G25.
متن کاملNegation and BCK-algebras
In this paper we consider twelve classical laws of negation and study their relations in the context of BCKalgebras. A classification of the laws of negation is established and some characterizations are obtained. For example, using the concept of translation we obtain some characterizations of Hilbert algebras and commutative BCK-algebras with minimum. As a consequence we obtain a theorem rela...
متن کاملBipolar Fuzzy Implicative Hyper Bck-ideals in Hyper Bck-algebras
Bipolar-valued fuzzification of the notion of implicative hyper BCK-ideals is considered. Using the concepts of positive and negative lever sets, a characterization of a bipolar fuzzy implicative hyper BCK-ideal is provided. A relation between a bipolar fuzzy hyper BCK-ideal and a bipolar fuzzy implicative hyper BCK-ideal is established. A condition for a bipolar fuzzy hyper BCK-ideal to be a b...
متن کاملPseudo-BCK algebras as partial algebras
It is well-known that the representation of several classes of residuated lattices involves lattice-ordered groups. An often applicable method to determine the representing group (or groups) from a residuated lattice is based on partial algebras: the monoidal operation is restricted to those pairs which fulfil a certain extremality condition, and else left undefined. The subsequent construction...
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ژورنال
عنوان ژورنال: Czechoslovak Mathematical Journal
سال: 2003
ISSN: 0011-4642,1572-9141
DOI: 10.1023/b:cmaj.0000024536.04596.67