Results 61 to 70 of about 177 (90)

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
exaly   +2 more sources

Fuzzy hyper h -ideals of hyper BCK-algebras

Journal of Intelligent & Fuzzy Systems, 2016
The 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 Çağman
openalex   +3 more sources

Fuzzy soft positive implicative hyper BCK-ideals in hyper BCK-algebras

Journal of Intelligent and Fuzzy Systems, 2019
Fuzzy 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.
Mohammad Mehdi Zahedi, Young Bae Jun, R A Borzooei   +2 more
exaly   +2 more sources

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 ...
Rachel Moridas Patangan, Sergio R. Canoy
openalex   +3 more sources

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\
Rachel Moridas Patangan, Sergio R. Canoy
openalex   +3 more sources

Study of the Pseudo-Valuation Functions on Hyper BCK-Algebras

New Mathematics and Natural Computation
In this paper, the notions of some kinds of pseudo valuations such as positive implicative pseudo valuation, (weak) implicative pseudo valuation, and commutative pseudo valuation in different types, are examined. Several examples, properties and characterizations of them are given as well.
Mahmood Bakhshi, Sun Shin Ahn, Y. B. Jun, R. A. Borzooei   +3 more
openalex   +2 more sources

State operators and state-morphism operators on hyper BCK-algebras

Journal of Intelligent and Fuzzy Systems, 2015
In 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
Xiaolong Xin, Bijan Davvaz, Xin Xiaolong   +2 more
exaly   +3 more sources

Hyper BCK-Algebras Arising from n-ary Block Codes and Some Algorithms

New Mathematics and Natural Computation, 2023
In this paper, we construct [Formula: see text]-ary block codes induced by a hyper BCK-valued function and provide a method which allows us to find a hyper BCK-algebra starting from an [Formula: see text]-ary block code. Since doing calculus by hand in finite hyper BCK-algebras is really tedious work, we design algorithms for studying properties of ...
Surdive Atamewoue
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Bipolar-valued fuzzy soft hyper BCK ideals in hyper BCK algebras

Discrete Mathematics, Algorithms and Applications, 2020
Using 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, Habib Harizavi, Young Bae Jun   +2 more
openaire   +1 more source

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

Inf. Sci., 2005
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Young Bae Jun, Wook Hwan Shim
openaire   +2 more sources