Results 11 to 20 of about 887 (140)
Fuzzy Set Theoretic Approach to Generalized Ideals in BCK/BCI-Algebras
Journal of Function Spaces, 2022 This paper deals with the study of generalizations of fuzzy subalgebras and fuzzy ideals in BCK/BCI-algebras. In fact, the notions of ∈,∈∨κ~∗,qκ~-fuzzy subalgebras, ∈,∈∨κ~∗,qκ~-fuzzy ideals, and ∈∨κ~∗,qκ~,∈∨κ~∗,qκ~-fuzzy ideals in BCK/BCI-algebras are ...
G. Muhiuddin +7 more
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Interval Valued m-polar Fuzzy BCK/BCI-Algebras
International Journal of Computational Intelligence Systems, 2021 The notion of interval-valued m-polar fuzzy sets (abbreviated IVmPF) is much wider than the notion of m-polar fuzzy sets. In this paper, we apply the theory of IVmPF on BCK/BCI-algebras.
G. Muhiuddin, D. Al-Kadi
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Some properties of pseudo-BCK- and pseudo-BCI-algebras
Fuzzy Sets and Systems, 2018 Pseudo-BCI-algebras generalize both BCI-algebras and pseudo-BCK-algebras, which are a non-commutative generalization of BCK-algebras. In this paper, following [J.G. Raftery and C.J. van Alten, Residuation in commutative ordered monoids with minimal zero,
Emanovský, Petr, Kühr, Jan
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A New Approach of Complex Fuzzy Ideals in BCK/BCI-Algebras
MathematicsThe concept of complex fuzzy sets, where the unit disk of the complex plane acts as the codomain of the membership function, as an extension of fuzzy sets. The objective of this article is to use complex fuzzy sets in BCK/BCI-algebras.
Manivannan Balamurugan +3 more
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Neutrosophic Quadruple BCK/BCI-Algebras
Axioms, 2018 The notion of a neutrosophic quadruple BCK/BCI-number is considered, and a neutrosophic quadruple BCK/BCI-algebra, which consists of neutrosophic quadruple BCK/BCI-numbers, is constructed. Several properties are investigated, and a (positive implicative)
Young Bae Jun +3 more
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Definitions of BCK algebras and BCI algebras [PDF]
Advances in Intelligent Systems Research, 2015 In this paper, we consider the definitions of the BCK and BCI Algebra. We put out four examples in order to prove that any one of the four conditions in the definition of BCK algebra cannot be proofed by other three conditions. Next we simplify the definitions of the BCK and BCI Algebra by giving new equivalent conditions.
Li-xia Song, Kun-Long Zhang
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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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Generalized Ideals of BCK/BCI‐Algebras Based on MQHF Soft Set with Application in Decision Making
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 The purpose of this study is to generalize the concept of Q‐hesitant fuzzy sets and soft set theory to Q‐hesitant fuzzy soft sets. The Q‐hesitant fuzzy set is an admirable hybrid property, specially developed by the new generalized hybrid structure of hesitant fuzzy sets.
Maryam Abdullah Alshayea +2 more
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A Novel Study Based on Fuzzy p‐Ideals of BCI‐Algebras
Journal of Function Spaces, Volume 2023, Issue 1, 2023., 2023 In this paper, we propose the concept of (∈, ∈ ∨(j∗, qj))‐fuzzy p‐ideals in “BCI‐algebras.” We show that “(∈, ∈∨q))‐fuzzy p‐ideals” and “(∈∨(j∗, qj), ∈ ∨(j∗, qj))‐fuzzy p‐ideals” are “(∈, ∈ ∨(j∗, qj))‐fuzzy p‐ideals.” However, the converse is not true, then presented examples.
G. Muhiuddin +5 more
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BS-Neutrosophic Structures in BCK/BCI-Algebras [PDF]
Neutrosophic Sets and Systems, 2023 In this article we generalized a Smarandache’s neutrosophic set as BS-neutrosophic set and it is applied to BCK/BCI-algebras. The concept of BS-neutrosophic subalgebra, BS-neutrosophic ideal and related properties are investigated.
B. Satyanarayana +2 more
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