Results 81 to 90 of about 1,355,110 (115)

FUZZY HYPER BCK-IMPLICATIVE IDEALS OF HYPER BCK-ALGEBRAS

open access: yesScientiae Mathematicae Japonicae, 2016
Touqeer, Muhammad, Malik, M. Aslam
openaire   +1 more source

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

open access: yesScientiae Mathematicae Japonicae, 2009
Jun, Young, Su Kang, Min, Kim, Hee Sik
openaire   +1 more source

BIPOLAR FUZZY STRUCTURES OF SOME TYPES OF IDEALS IN HYPER BCK-ALGEBRAS

open access: yesScientiae Mathematicae Japonicae, 2009
JUN, YOUNG BAE   +2 more
openaire   +1 more source

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

open access: closedNew 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
core   +4 more sources

A TOPOLOGY ON A HYPER BCK-ALGEBRA

open access: closedJP 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.   +1 more
exaly   +4 more sources

Non-commutative hyper residuated lattices and hyper pseudo-BCK algebras

open access: closed2016 12th International Conference on Natural Computation, Fuzzy Systems and Knowledge Discovery (ICNC-FSKD), 2016
The 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.
Qiuyan Zhan
exaly   +4 more sources

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

open access: closedJP 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.   +1 more
exaly   +4 more sources

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   +3 more sources

Fuzzy hyper h -ideals of hyper BCK-algebras

open access: closedJournal 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 Çagman
openaire   +4 more sources

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