Results 51 to 60 of about 887 (140)
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
doaj +1 more source
Double-Framed Soft Sets with Applications in BCK/BCI-Algebras
Journal of Applied Mathematics, 2012 In order to lay a foundation for providing a soft algebraic tool in considering many problems that contain uncertainties, the notion of double-framed soft sets is introduced, and applications in BCK/BCI-algebras are discussed.
Young Bae Jun, Sun Shin Ahn
doaj +1 more source
Molecules and linearly ordered ideals of MV-algebras [PDF]
, 1997 We show that an ideal $I$ of an $MV$-algebra $A$ is linearly ordered if and only if every non-zero element of $I$ is a molecule. The set of molecules of $A$ is contained in $\operatorname{Inf}(A)\cup B_2(A)$ where $B_2(A)$ is the set of all elements $x ...
Hoo, C. S.
core +2 more sources
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
, 2012 We characterize weak BCC-algebras in which the identity $(xy)z=(xz)y$ is satisfied only in the case when elements $x,y$ belong to the same ...
Bunder W. M. +23 more
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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
wiley +1 more source
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
doaj +1 more source
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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