Results 91 to 100 of about 3,285 (114)

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

2016 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   +2 more sources

Fuzzy soft set theory with applications in hyper BCK -algebras

Journal of Intelligent & Fuzzy Systems, 2019
 In the paper [P.K. Maji, R. Biswas, A.R. Roy, Fuzzy soft sets, J. Fuzzy Math. 9 (3) (2001) 589–602], Maji et al. introduced the concept of fuzzy soft sets as a generalization of the standard soft sets, and presented an application of fuzzy soft sets in a decision making problem. The aim of this paper is to apply fuzzy soft set for
Bordbar, Hashem, Song, Seok-Zun, Bordbar, Mohammad Rahim, Jun, Young Bae, (To the memory of Professor Lotfi A. Zadeh)   +4 more
openaire   +3 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

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

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 Çagman
openaire   +2 more sources

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

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

Inf. Sci., 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Young Bae Jun, Wook Hwan Shim
openaire   +2 more sources

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

Journal of Intelligent & 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.
Somayeh Khademan, Mohammad Mehdi Zahedi, Young Bae Jun, Rajab Ali Borzooei   +3 more
openaire   +1 more source

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.
M. Bakhshi, S. S. Ahn, Y. B. Jun, R. A. Borzooei   +3 more
openaire   +1 more source