Results 31 to 40 of about 79,106 (154)
New Type of Soft (Prime) Ideals in Commutative BCK-Algebras [PDF]
Jisuanji kexue yu tansuo, 2022 The soft set theory is an important mathematical tool for dealing with uncertainty. By endowing a par-ameter set as a commutative BCK-algebra (that is commutative weak-BCI-algebra), the notions of a new type of soft prime ideals, annihilators of soft ...
HUANG Yu, LIAO Zuhua
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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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Quasi-Algebras versus Regular Algebras - Part I [PDF]
Scientific Annals of Computer Science, 2015 Starting from quasi-Wajsberg algebras (which are generalizations of Wajsberg algebras), whose regular sets are Wajsberg algebras, we introduce a theory of quasi-algebras versus, in parallel, a theory of regular algebras.
A. Iorgulescu
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Commutative ideals of BCK-algebras and BCI-algebras based on soju structures
AIMS Mathematics, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Seok-Zun Song +2 more
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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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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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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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Cubic Pythagorean Fuzzy Graphs
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 The purpose of the study is to explore graph theory based on cubic Pythagorean fuzzy sets. The concept of cubic Pythagorean fuzzy graphs (CuPFGs) is introduced in this research work. In addition, we define certain fundamental operations on CuPFGs including semistrong product, lexicographical product, and symmetric difference of two CuPFGs and ...
G. Muhiuddin +4 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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