Results 21 to 30 of about 3,249 (114)
International Journal of Analysis and ApplicationsThis paper contains some new theorems related to hyper BCK-ideals positive implicative hyper BCK-ideals of types-1, 2, 3, 4 of hyper BCK-algebras (HBCKA) under an interval-valued intuitionistic fuzzy environment. Henceforth, the connection between these ideas and their relevant characteristics is discussed.
D. Ramesh +4 more
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Fermatean Neutrosophic Soft Structure and its Ideals in Hyper BCK-Algebras
Contemporary MathematicsThe 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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Positive Implicative-Artinian and Positive Implicative Noetherian Hyper Bck-Algebras
Universal Journal of Computational Mathematics, 2014 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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Rough Set Theory Applied To Hyper BCK-Algebra [PDF]
Ratio Mathematica, 2014 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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FUZZY TRANSLATIONS AND FUZZY MULTIPLICATIONS OF HYPER BCK-ALGEBRAS [PDF]
Honam Mathematical Journal, 2011 Fuzzy -translations, (normalized, maximal) fuzzy extensions and fuzzy multiplications of fuzzy hyper BCK-subalgebras in hyper BCK-algebras are discussed. Relations among fuzzy translations, (normalized, maximal) fuzzy extensions and fuzzy multiplications are investigated.
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Journal of Hyperstructures, 2023 In this paper, we introduce the notion of hyper JK-algebras and investigate these algebras properties. Moreover, we present relationships between hyper JK-algebras and pseudo hyper BCK-algebras and hyper pseudo MV-algebras under some conditions.
Mohammad Ali Hashemi
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On Superhyper BCK-Algebras [PDF]
Neutrosophic Sets and Systems, 2023 BCK-algebras are algebraic structures in universal algebra such that are based on logical axioms and have some applications. This paper introduces the concept of super hyper BCK-algebras as a generalization of BCK-algebras and investigates some ...
Mohammad Hamidi
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Applications on Bipolar Vague Soft Sets
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 The purpose of this research is to interpolate bipolarity into the definition of the vague soft set. This gives a new more applicable, flexible, and generalized extension of the soft set, the fuzzy soft set, or even the vague soft set, which is the bipolar vague soft set.
Hanan H. Sakr +4 more
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A Novel Characterization of Fuzzy Soft Substructures in Quantales Theory
Complexity, Volume 2023, Issue 1, 2023., 2023 In this paper, we use an algebraic structure quantale and define the idea of fuzzy soft substructures as a generalization of fuzzy substructures in quantale. These fuzzy soft substructures include fuzzy soft subquantales, fuzzy soft ideals, fuzzy soft prime ideals, fuzzy soft semiprime ideals, and fuzzy soft primary ideals.
Saqib Mazher Qurashi +5 more
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Generalizations of Fuzzy q‐Ideals of BCI‐Algebras
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 In this paper, we introduce the notion of (∈, ∈∨(κ∗, qκ))‐fuzzy q‐ideals of BCI‐algebras to propose a more general form of fuzzy q‐ideals of BCI‐algebras. We prove that (∈, ∈∨q)‐fuzzy q‐ideals and (∈∨(κ∗, qκ), ∈∨(κ∗, qκ))‐fuzzy q‐ideals are (∈, ∈∨(κ∗, qκ))‐fuzzy q‐ideals, but the converse assertion is not valid and examples are given to support this ...
G. Muhiuddin +5 more
wiley +1 more source