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BIPOLAR FUZZY STRUCTURES OF SOME TYPES OF IDEALS IN HYPER BCK-ALGEBRAS
Scientiae Mathematicae Japonicae, 2009 JUN, YOUNG BAE +2 more
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A TOPOLOGY ON A HYPER BCK-ALGEBRA
JP Journal of Algebra, Number Theory and Applications, 2018Summary: In this paper, by considering the notion of hyper BCK-algebra \((H,\ast,0)\) and for any \(A\subseteq H\), we define \(R_H(A)=\{x\in H:a\ll x,\forall a\in A\}=\{x\in H:0\in a\ast x,\forall a\in A\}\). We show that the family consisting \(\mathcal{B}_R(H)\) of the sets \(R_H(A)\) where \(A\) ranges over all subsets of \(H\), forms a base for ...
R. Patangan, S. Canoy
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2009 IEEE International Conference on Fuzzy Systems, 2009
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.
Arsham Borumand Saeid
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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.
Arsham Borumand Saeid
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Non-commutative hyper residuated lattices and hyper pseudo-BCK algebras
2016 12th International Conference on Natural Computation, Fuzzy Systems and Knowledge Discovery (ICNC-FSKD), 2016The new notion of non-commutative hyper residuated lattice is introduced and some properties are investigated. Moreover, two definitions of hyper pseudo-BCK algebras are discussed, and the following result is proved: every strong non-commuatative hyper residuated lattice can induce a weak hyper pseudo-BCK algebra.
Xiaohong Zhang, Q. Zhan, Xue-ping Wang
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A TOPOLOGY ON A HYPER BCK-ALGEBRA VIA LEFT APPLICATION OF A HYPER ORDER
JP Journal of Algebra, Number Theory and Applications, 2018Summary: Given a hyper BCK-algebra \((H,\ast,0)\) and \(A\subseteq H\), we define \(L_H(A)=\{x\in H:x\ll a,\forall a\in A\}=\{x\in H:0\in x\ast a, \forall a\in A\}\). In this paper, we show that the family \(\mathcal{B}_L(H)\) consisting of the sets \(L_H(A)\), where \(A\) ranges over all nonempty subsets of \(H\), forms a base for some topology on \(H\
R. Patangan, S. Canoy
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State operators and state-morphism operators on hyper BCK-algebras
Journal of Intelligent & Fuzzy Systems, 2015In this paper, we first introduce the notion of state operators on a hyper BCK-algebra and investigate some properties of them. Also we introduce the notions of state hyper (weak hyper, strong hyper) BCK-ideals and discuss relations among them. Moreover we study state congruences on state hyper BCK-algebra ( X
X. Xin, B. Davvaz
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Fuzzy hyper h -ideals of hyper BCK-algebras
Journal of Intelligent & Fuzzy Systems, 2016The fuzzification of (weak, strong, reflexive) hyper h -ideals in hyper BCK-algebras is considered. It is shown that every fuzzy (weak, strong, reflexive) hyper h -ideal is a fuzzy (weak, strong, reflexive) hyper BCK-ideal.
Muhammad Touqeer, Naim Çagman
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Bipolar-valued fuzzy soft hyper BCK ideals in hyper BCK algebras
Discrete Mathematics, Algorithms and Applications, 2020Using the notion of bipolar-valued fuzzy soft set, the concepts of bipolar-valued fuzzy soft (weak, [Formula: see text]-weak, strong) hyper BCK ideal are introduced, and related properties and relations are investigated. Characterizations of bipolar-valued fuzzy soft (weak) hyper BCK ideal are considered.
G. Muhiuddin +2 more
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Fuzzy strong implicative hyper BCK-ideals of hyper BCK-algebras
Inf. Sci., 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Young Bae Jun, Wook Hwan Shim
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Fuzzy soft positive implicative hyper BCK-ideals in hyper BCK-algebras
Journal of Intelligent & Fuzzy Systems, 2019Fuzzy soft set theory is applied to hyper BCK-algebras. The notion of fuzzy soft positive implicative hyper BCK-ideals is introduced, and several properties are investigated. The relation between fuzzy soft positive implicative hyper BCK-ideal and fuzzy soft hyper BCK-ideal is considered.
Somayeh Khademan +3 more
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