Results 51 to 60 of about 868 (127)

Some properties of pseudo-BCK- and pseudo-BCI-algebras

, 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
core   +1 more source

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

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, Seok-Zun Song, Young Bae Jun   +2 more
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

A New Approach of Complex Fuzzy Ideals in BCK/BCI-Algebras

Mathematics
The 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, Thukkaraman Ramesh, Anas Al-Masarwah, Kholood Alsager   +3 more
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

Solid weak BCC-algebras

, 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., Chaudhry M. A., Chaudhry M. A., Dudek W. A., Dudek W. A., Dudek W. A., Dudek W. A., Dudek W. A., Dudek W. A., Dudek W. A., Huang Y. S., Iorgulescu A., Karamdin B., Komori Y., Meng J., Mundici D., Rasiowa H., Thomys J., Thomys J., Wieslaw A. Dudek, Zhang X. H., Zhang X. H., Zhang X. H., Zhang X. H.   +23 more
core   +1 more source

On (complete) normality of m-pF subalgebras in BCK/BCI-algebras

AIMS Mathematics, 2019
In this paper, we introduce the concepts of normal $m$-polar fuzzy subalgebras, maximal $m$-polar fuzzy subalgebras and completely normal $m$-polar fuzzy subalgebras in $BCK/BCI$-algebras.
Anas Al-Masarwah, Abd Ghafur Ahmad
doaj   +1 more source

A Novel Approach to Crop Cultivation via Bipolar Interval‐Valued Intuitionistic Fuzzy Bidirectional Projection Measure

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In this study, we introduce a bipolar interval‐valued intuitionistic fuzzy (BIVIF) norm, projection, and bidirectional projection measure within the framework of BIVIF topological spaces. These tools enable us to handle ambiguity with greater accuracy, calculate relationships between sets more effectively, and make rational decisions in uncertain ...
Suganya Manivannan, Latha Mani, Prasantha Bharathi Dhandapani, Md. Fayz-Al-Asad, Ghous Ali   +4 more
wiley   +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, V. Manimozhi, N. Kausar, D. Pamucar, S. Kousar, Y. U. Gaba   +5 more
doaj   +1 more source