Results 91 to 100 of about 3,249 (114)

On quasi hyper BCK-algebras

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, L. Torkzadeh
openaire   +1 more source

A TOPOLOGY ON A HYPER BCK-ALGEBRA

JP Journal of Algebra, Number Theory and Applications, 2018
Summary: 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 ...
Patangan, Rachel M., Canoy, Sergio R. jun.   +1 more
openaire   +2 more sources

ZERO DIVISOR GRAPHS OF FINITE HYPER BCK-ALGEBRAS INVOLVING HYPERATOMS

Far East Journal of Mathematical Sciences (FJMS), 2018
Jimboy R. Albaracin, Jocelyn P. Vilela
openaire   +2 more sources

RETRACTED: Some types of pseudo valuations on hyper BCK-algebras

Journal of Intelligent & Fuzzy Systems
This article has been retracted. A retraction notice can be found at https://doi.org/10.3233/JIFS-219433.
M. Bakhshi, Sun Shin Ahn, Y. B. Jun, R. Borzooei   +3 more
semanticscholar   +1 more source

A TOPOLOGY ON A HYPER BCK-ALGEBRA VIA LEFT APPLICATION OF A HYPER ORDER

JP Journal of Algebra, Number Theory and Applications, 2018
Summary: 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\
Patangan, Rachel M., Canoy, Sergio R. jun.   +1 more
openaire   +2 more sources

Fuzzy strong implicative hyper BCK-ideals of hyper BCK-algebras

Information Sciences, 2005
Y. Jun, W. H. Shim
semanticscholar   +1 more source

Intuitionistic Fuzzy Hyper p-Ideals in Hyper BCK-Algebras

Asia Pacific Journal of Mathematics
Kalavath Anjaneyulu Naik, D. Ramesh, A. Iampan, B. Satyanarayana, Ravutla Durga Prasad   +4 more
semanticscholar   +1 more source

On Direct Sum of Branches in Hyper BCK-algebras

, 2016
H. Harizavi
semanticscholar   +1 more source

BCK-ALGEBRAS AND HYPER BCK-ALGEBRAS INDUCED BY A DETERMINISTIC FINITE AUTOMATON

, 2009
M. Mohammadian, M. M. Zahedi
semanticscholar   +1 more source

BIPOLAR FUZZY IMPLICATIVE HYPER BCK-IDEALS IN HYPER BCK-ALGEBRAS

, 2009
J. Bae, K. Su, K. Sik
semanticscholar   +1 more source