Results 21 to 30 of about 177 (90)
Bipolar Fuzzy Commutative Hyper BCK-ideals in Hyper BCK-algebras
This study introduces the concept of bipolar fuzzy commutative hyper BCK-ideals (BF-CHBCKIs) within the algebraic framework of hyper BCK-algebras, offering a novel approach to modeling dual uncertainty through bipolar fuzzy sets. By defining and classifying BF-CHBCKIs across multiple types and examining their structural relationships with reflexive ...
D. Ramesh +3 more
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Int-soft Implicative hyper $BCK$-ideals in hyper $BCK$-algebras
Relations between various types of int-soft hyper BCK-ideals are discussed. Conditions for an int-soft hyper BCK-ideal to be an int-soft weak implicative hyper BCK-ideal are provided. Using an int-soft weak implicative hyper BCK-ideal, a new int-soft weak implicative hyper BCK-ideal is established.
R A Borzooei +2 more
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Topologies on Hyper BCK-Algebra \([0, 1]\)
In this paper, we introduce the definition of a hyper operation $\ast$ on the set [0,1], and with this hyper operation, we will show that [0,1] is a hyper BCK-algebra. We also investigate the topologies that will be formulated with $B_R{([0,1])}$ and $B_L{([0,1])}$ and show some topology of $R_[0,1](A)$ and $L_[0,1](A)$.
Erneta Payla, Luzviminda T. Ranara
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Positive Implicative-Artinian and Positive Implicative Noetherian Hyper Bck-Algebras [PDF]
The notion of intuitionistic fuzzy positive implicative hyper BCK-ideals of type-1, 2... 8 of hyper BCK-algebras was introduced in 2012 by Durga Prasad, Satyanarayana and Ramesh. In this paper, we investigate some related properties of intuitionistic fuzzy positive implicative hyper BCK-ideals of types-1.
B. Satyanarayana +2 more
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Fuzzy soft set theory with applications in hyper BCK -algebras
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
Hashem Bordbar +4 more
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Double-Framed Soft Set Theory Applied to Hyper BCK-Algebras
The notions of double-framed soft hyper BCK-algebra and double-framed soft (strong) hyper BCK-ideal of a hyper BCK-algebra are introduced, and related properties are investigated. Characterizations of double-framed soft hyper BCK-algebra and double-framed soft hyper BCK-ideal are considered.
Hashem Bordbar +4 more
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Rough Set Theory Applied To Hyper BCK-Algebra
The aim of this paper is to introduce the notions of lower and upper approximation of a subset of a hyper BCK-algebra with respect to a hyper BCK-ideal. We give the notion of rough hyper subalgebra and rough hyper BCK-ideal, too, and we investigate their properties.
R. Ameri, R. Moradian, R. A. Borzooei
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Fermatean Neutrosophic Soft Structure and its Ideals in Hyper BCK-Algebras
The goal of this paper is to investigate the use of fermatean neutrosophic soft sets (FNSSs) in the context of hyper BCK-algebras. While examining their characteristics and connections, it presents several ideas, including fermatean neutrosophic soft hyper BCK-ideals (FNSH BCK-ideals), fermatean neutrosophic soft weak hyper BCK-ideals (FNSWH BCK-ideals)
M. Kaviyarasu +3 more
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Multipolar fuzzy hyper BCK-ideals of hyper BCK-algebras [PDF]
Young Bae Jun, Jun Young Bae
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