Results 11 to 20 of about 269 (166)
Structures on Doubt Neutrosophic Ideals of BCK/BCI-Algebras under (S, T)-Norms [PDF]
Neutrosophic Sets and Systems, 2020 Smarandache implemented the idea of neutrosophic set theory as a method for dealing undetermined data. Neutrosophic set theory is commonly used in various algebric structures, such as groups, rings and BCK/BCI-algebras.
Anas Al-Masarwah, Abd Ghafur Ahmad
doaj +1 more source
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
doaj +1 more source
Generalized m-Polar Fuzzy Positive Implicative Ideals of BCK-Algebras
Journal of Mathematics, 2021 This study focuses on combining the theories of m-polar fuzzy sets over BCK-algebras and establishing a new framework of m-polar fuzzy BCK-algebras.
Anas Al-Masarwah +3 more
doaj +1 more source
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
doaj +1 more source
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 The concept of Γ(α, β)‐BE‐algebra is introduced as a generalization of a Γα‐BE‐algebra and a Γβ‐BE‐algebra and its properties are studied. We introduced the concepts of (α, β)‐subalgebra and (α, β)‐filter of a Γ(α, β)‐BE‐algebra and discussed the relation between these two concepts. We provided conditions for an (α, β)‐subalgebra to be an (α, β)‐filter.
Ravikumar Bandaru +4 more
wiley +1 more source
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
wiley +1 more source
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
wiley +1 more source
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
wiley +1 more source
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
wiley +1 more source
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
doaj +1 more source