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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   +2 more
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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. Relations among (fuzzy) weak hyper h -ideals,
Touqeer, Muhammad, Çağman, Naim
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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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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.
Khademan, Somayeh   +3 more
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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), 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.
Xiaohong Zhang   +2 more
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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 dealing
Bordbar, Hashem   +4 more
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INTUITIONISTIC FUZZY HYPER BCK-IDEALS OF HYPER BCK-ALGEBRAS

2004
The intuitionistic fuzzification of (strong, weak, s-weak) hyper BCK-ideals is introduced, and related properties are investigated. Character- izations of an intuitionistic fuzzy hyper BCK-ideal are established. Using a collection of hyper BCK-ideals with some conditions, an intuitionistic fuzzy hyper BCK-ideal is built.
Borzooei, Rajab Ali, Jun, Young Bae
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BIPOLAR FUZZY HYPER BCK-IDEALS IN HYPER BCK-ALGEBRAS

2011
Using the notion of bipolar-valued fuzzy sets, the concepts of bipo- lar fuzzy (weak, -weak, strong) hyper BCK-ideals are introduced, and their relations are discussed. Moreover, several related properties are investigated.
Jun, Young Bae   +2 more
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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   +3 more
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State operators and state-morphism operators on hyper BCK-algebras

Journal of Intelligent & 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 ,
Xin, Xiaolong, Davvaz, Bijan
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