Results 21 to 30 of about 1,355,110 (115)
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 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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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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Intuitionistic Fuzzy Hyper h-Ideals in Hyper BCK-Algebras
International Journal of Analysis and ApplicationsThis research explores the intuitionistic fuzzification of hyper h-ideals in hyper BCK-algebras, including weak, strong, and reflexive types. We demonstrate that every intuitionistic fuzzy weak, strong, or reflexive hyper h-ideal is an intuitionistic fuzzy HBCKI, and investigate the relationships among these ideals, revealing key connections ...
Kalavath Anjaneyulu Naik +5 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
Arsham Borumand Saeid
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Ratio Mathematica, 1997 In this note the notion of a hyper BCK-algebra which is a generalization of a BCK-algebra introduced, and some basic properties for this algebra are proved.
M. Bolurian, A. Hasankhani
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Topologies on Hyper BCK-Algebra \([0, 1]\)
European Journal of Pure and Applied MathematicsIn this paper, we introduce the definition of a hyper operation $\ast$ on the set [0,1], and with this hyper operation, we will show that [0,1] is a hyper BCK-algebra. We also investigate the topologies that will be formulated with $B_R{([0,1])}$ and $B_L{([0,1])}$ and show some topology of $R_[0,1](A)$ and $L_[0,1](A)$.
Erneta Payla, Luzviminda Ranara
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Bipolar Fuzzy Commutative Hyper BCK-ideals in Hyper BCK-algebras
European Journal of Pure and Applied MathematicsThis study introduces the concept of bipolar fuzzy commutative hyper BCK-ideals (BF-CHBCKIs) within the algebraic framework of hyper BCK-algebras, offering a novel approach to modeling dual uncertainty through bipolar fuzzy sets. By defining and classifying BF-CHBCKIs across multiple types and examining their structural relationships with reflexive ...
D. Ramesh +3 more
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Fermatean Neutrosophic Soft Structure and its Ideals in Hyper BCK-Algebras
Contemporary MathematicsThe goal of this paper is to investigate the use of fermatean neutrosophic soft sets (FNSSs) in the context of hyper BCK-algebras. While examining their characteristics and connections, it presents several ideas, including fermatean neutrosophic soft hyper BCK-ideals (FNSH BCK-ideals), fermatean neutrosophic soft weak hyper BCK-ideals (FNSWH BCK-ideals)
M. Kaviyarasu +3 more
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