Results 51 to 60 of about 643 (188)

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

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

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

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

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

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

Planar Realizability via Left and Right Applications [PDF]

, 2022
We introduce a class of applicative structures called bi-BDI-algebras. Bi-BDI-algebras are generalizations of partial combinatory algebras and BCI-algebras, and feature two sorts of applications (left and right applications).
Tomita, Haruka
core   +1 more source

Hyperfuzzy Ideals in BCK/BCI-Algebras [PDF]

Mathematics, 2017
The notions of hyperfuzzy ideals in B C K / B C I -algebras are introduced, and related properties are investigated. Characterizations of hyperfuzzy ideals are established. Relations between hyperfuzzy ideals and hyperfuzzy subalgebras are discussed. Conditions for hyperfuzzy subalgebras to be hyperfuzzy ideals are provided.
Seok-Zun Song, Seon Kim, Young Jun
openaire   +3 more sources

On Q-algebras

International Journal of Mathematics and Mathematical Sciences, 2001
We introduce a new notion, called a Q-algebra, which is a generalization of the idea of BCH/BCI/BCK-algebras and we generalize some theorems discussed in BCI-algebras.
Joseph Neggers, Sun Shin Ahn, Hee Sik Kim   +2 more
doaj   +1 more source

On some generalizations of BCC-algebras

, 2012
We describe weak BCC-algebras (also called BZ-algebras) in which the condition $(xy)z=(xz)y$ is satisfied only in the case when elements $x,y$ belong to the same branch.
Dudek, Wieslaw A., Thomys, Janus
core   +1 more source