Results 51 to 60 of about 79,107 (154)
Commutative Ideals of BCI-Algebras Using MBJ-Neutrosophic Structures
Mathematics, 2021 As a generalization of a neutrosophic set, the notion of MBJ-neutrosophic sets is introduced by Mohseni Takallo, Borzooei and Jun, and it is applied to BCK/BCI-algebras.
Seok-Zun Song +2 more
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Opuscula Mathematica, 2009 In this note, by using the concept of vague sets, the notion of vague \(BCK/BCI\)-algebra is introduced. And the notions of \(\alpha\)-cut and vague-cut are introduced and the relationships between these notions and crisp subalgebras are studied.
Arsham Borumand Saeid
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Engel, Nilpotent and Solvable BCI-algebras
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 In this paper, we define the concepts of Engel, nilpotent and solvable BCI-algebras and investigate some of their properties. Specially, we prove that any BCK-algebra is a 2-Engel.
Mohammadzadeh Elahe, Borzooei Rajab Ali
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Algebras for parameterised monads [PDF]
, 2009 Parameterised monads have the same relationship to adjunctions with parameters as monads do to adjunctions. In this paper, we investigate algebras for parameterised monads. We identify the Eilenberg-Moore category of algebras for parameterised monads and
Robert Atkey, Atkey, Robert
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Generalizations of Neutrosophic Subalgebras in BCK/BCI-Algebras Based on Neutrosophic Points [PDF]
Neutrosophic Sets and Systems, 2018 Saeid and Jun introduced the notion of neutrosophic points, and studied neutrosophic subalgebras of several types in BCK/BCI-algebras by using the notion of neutrosophic points.
Seon Jeong Kim +2 more
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Pseudo-Valuations on UP-Algebras
Universal Journal of Mathematics and Applications, 2019 Looking at pseudo-valuations on some classes of abstract algebras, such as BCK, BCI, BCC and KU, in this article we introduce the concept of pseudo-valuations on UP-algebras and analyze the relationship of these mappings with UP-substructures.
Daniel A. Romano
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Makgeolli Structures and Its Application in BCK/BCI-Algebras
Mathematics, 2019 A fuzzy set is an extension of an existing set using fuzzy logic. Soft set theory is a generalization of fuzzy set theory. Fuzzy and soft set theory are good mathematical tools for dealing with uncertainty in a parametric manner.
Sun Shin Ahn +3 more
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Fuzzy Product KM-Subalgebras and Some Related Properties
Complexity, 2021 The concept of KM-algebras has been originated in 2019. KM-algebra is a generalization of some of the B-algebras such as BCK, BCI, BCH, BE, and BV and also d-algebras.
K. Kalaiarasi +5 more
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On the Structural Behavior of Multiplicative (Generalized)‐Derivations via d‐Algebra Structures
Journal of Mathematics, Volume 2026, Issue 1, 2026.In the context of a d‐algebra structure (℧, ∗, 0), this paper aims to introduce the concept of a multiplicative (generalized)‐derivation G associated with a self‐map Ξ (not necessarily a derivation). Based on this concept, the operations ∧ and composition ° will be defined, and several interesting related properties will be investigated, such as ...
Hicham Saber +5 more
wiley +1 more source
On Intuitionistic Fuzzy Translation and Multiplication of PMS‐Ideals in PMS‐Algebras
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.In this manuscript, we explore the application of intuitionistic fuzzy translations and intuitionistic fuzzy multiplication of intuitionistic fuzzy sets to PMS‐algebras and examine various related properties. We analyze the relationships between an intuitionistic fuzzy PMS‐ideal A of a PMS‐algebra and its corresponding intuitionistic fuzzy ω ...
Beza Lamesgin Derseh, Abdul Rauf Khan
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