Results 31 to 40 of about 104 (79)
Quotient hyper pseudo BCK-algebras
Discussiones Mathematicae - General Algebra and Applications, 2013 In this paper, we rst investigate some properties of the hyper pseudo BCK-algebras. Then we dene the concepts of strong and reexive hyper pseudo BCK- ideals and establish some relationships among them and the other types of hyper pseudo BCK- ideals.
Rajab Ali Boorzoei +2 more
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Fuzzy hyper p-ideals of hyper BCK-algebras
Filomat, 2015 The paper is a reflection of ?fuzzy sets? applied to ?hyper p-ideals? and their comparison with simple ?fuzzy hyper BCK-ideals?. The idea of ?fuzzy (weak, strong) hyper p-ideals? is presented and characterization of these ideals is conferred using different concepts like that of ?level subsets, hyper homomorphic pre-image? etc.
Aslam Malik, Muhammad Touqeer
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Category of hyper BCK-algebras
Scientiae Mathematicae Japonicae, 2006 Summary: We first define the category of hyper BCK-algebras. After that we show that the category of hyper BCK-algebras is connected, factorisable and has equalizers, coequalizers, products, coproducts, intersection and kernel. As a consequence this category is complete and cocomplete and hence has pullbacks and pushouts.
HARIZAVI, H. +2 more
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Hypervector Spaces Based on Intersectional Soft Sets
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 The notion of int‐soft subfields, int‐soft algebras over int‐soft subfields, and int‐soft hypervector spaces are introduced, and their properties and characterizations are considered. In connection with linear transformations, int‐soft hypervector spaces are discussed.
Young Bae Jun +3 more
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Topologies on a Hyper Sum and Hyper Product of Two Hyper BCK-algebras
European Journal of Pure and Applied Mathematics, 2019 Given a hyper BCK-algebra (H, ∗, 0), each of the families BL(H) = {LH(A) : ∅ 6=A ⊆ H} and BR(H) = {RH(A) : ∅ 6= A ⊆ H} forms a base for some topology on H, where LH(A) = {x ∈ H : x a, ∀a ∈ A} and RH(A) = {x ∈ H : a x, ∀a ∈ A} for any subset A of H. In this paper, we determine the bases of the topologies induced by the hyper sum H1
Rachel Moridas Patangan +1 more
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Implicative Ideals of BCK‐Algebras Based on the Fuzzy Sets and the Theory of Falling Shadows
International Journal of Mathematics and Mathematical Sciences, Volume 2010, Issue 1, 2010., 2010 Based on the theory of falling shadows and fuzzy sets, the notion of a falling fuzzy implicative ideal of a BCK‐algebra is introduced. Relations among falling fuzzy ideals, falling fuzzy implicative ideals, falling fuzzy positive implicative ideals, and falling fuzzy commutative ideals are given.
Young Bae Jun +3 more
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Strong implicative hyper K‐ideals
International Journal of Mathematics and Mathematical Sciences, Volume 2006, Issue 1, 2006., 2006 A condition for a strong hyper K‐ideal to be a strong implicative hyper K‐ideal is given. Homomorphic images and inverse images of strong implicative hyper K‐ideals are considered.
Young Bae Jun +2 more
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Some Closure Operators and Topologies on a Hyper BCK-algebra
European Journal of Pure and Applied Mathematics, 2020 Given a hyper BCK-algebra (H,*,0), we introduce some subsets of H and use them to generate two closure opeeatots on H. In this paper we show that each of tje two closurenoperators on H can be utilized to form a base for some topology on H.
Rachel Moridas Patangan +1 more
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Fuzzy point hyper BCK-algebras
Indian Journal of Science and Technology, 2010 By using the concept of fuzzy points, we generalize the notion of hyper BCK-algebra and the notions of fuzzy point hyper BCK-(sub) algebras, fuzzy point (weak, strong) hyper BCK-ideals, quasi hyper BCK-(sub) algebras and quasi (weak, strong) hyper BCK-ideals are introduced. The relationship between these notions are stated and proved. Finally, we study
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