Results 41 to 50 of about 661 (206)

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

Single valued neutrosophic ordered subalgebras of ordered BCI-algebras [PDF]

Neutrosophic Sets and Systems, 2023
In order to apply neutrosophic set theory to ordered BCI-algebra, the notion of single valued neutrosophic ordered subalgebra is introduced and several properties are investigated.
Eunsuk Yang, Eun Hwan Roh, Young Bae Jun
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

On Symmetric Left Bi-Derivations in BCI-Algebras

International Journal of Mathematics and Mathematical Sciences, 2013
The notion of symmetric left bi-derivation of a BCI-algebra X is introduced, and related properties are investigated. Some results on componentwise regular and d-regular symmetric left bi-derivations are obtained.
G. Muhiuddin, Abdullah M. Al-roqi, Young Bae Jun, Yilmaz Ceven   +3 more
doaj   +1 more source

Realizability Without Symmetry [PDF]

, 2021
In categorical realizability, it is common to construct categories of assemblies and modest sets from applicative structures. In this paper, we introduce several classes of applicative structures and apply the categorical realizability construction to ...
Tomita, Haruka
core   +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
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Generalizations of Derivations in BCI-Algebras [PDF]

, 2023
In the present paper we introduced the notion of (q ,f )-derivations of a BCI-algebra X. Some interesting results on inside (or outside) (q ,f )-derivations in BCI-algebras are discussed.
M. Al-roqi, Abdullah, Muhiuddin, G.
core   +1 more source

On some classes of BCH-algebras

International Journal of Mathematics and Mathematical Sciences, 2001
The concept of a BCH-algebra is a generalization of the concept of a BCI-algebra. It is shown that weakly commutative BCH-algebras are weakly commutative BCI-algebras.
Muhammad Anwar Chaudhry, Hafiz Fakhar-Ud-Din   +1 more
doaj   +1 more source

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

Neutrosophic Multi-Criteria Decision Making [PDF]

, 2018
The notion of a neutrosophic quadruple BCK/BCI-number is considered in the first article (“Neutrosophic Quadruple BCK/BCI-Algebras”, by Young Bae Jun, Seok-Zun Song, Florentin Smarandache, and Hashem Bordbar), and a neutrosophic quadruple BCK/BCI-algebra,
Guo, Yanhui, Smarandache, Florentin, Ye, Jun   +2 more
core   +2 more sources