Results 21 to 30 of about 887 (140)

Cubic Pythagorean Fuzzy Graphs

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
The purpose of the study is to explore graph theory based on cubic Pythagorean fuzzy sets. The concept of cubic Pythagorean fuzzy graphs (CuPFGs) is introduced in this research work. In addition, we define certain fundamental operations on CuPFGs including semistrong product, lexicographical product, and symmetric difference of two CuPFGs and ...
G. Muhiuddin, Saira Hameed, Afeefa Maryam, Uzma Ahmad, Gohar Ali   +4 more
wiley   +1 more source

Generalized Rough Sets Applied to BCK/BCI-Algebras

Discussiones Mathematicae - General Algebra and Applications, 2021
The concept of a (strong) set-valued BCK/BCI-morphism in BCK/BCI-algebras is considered, and several properties are investigated. Conditions for a set-valued mapping to be a set-valued BCK/BCI-morphism are given.
Jun Young Bae, Song Seok-Zun, Roh Eun Hwan   +2 more
doaj   +1 more source

Ideals of BCK-algebras and BCI-algebras Based on a New Form of Fuzzy Set

European Journal of Pure and Applied Mathematics, 2023
Ideals in BCK/BCI algebra based on $Y_J^{\varepsilon}$-fuzzy sets are studied. The fundamental properties of the level set of $Y_J^{\varepsilon}$-fuzzy sets are investigate first. The concept of (closed) $Y_J^{\varepsilon}$-fuzzy ideals in BCK/BCI-algebras is introduces, and several properties are investigated.
Eun Hwan Roh, Eunsuk Yang, Young Bae Jun
openaire   +1 more source

Some Results about Weak UP‐algebras

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
We introduce a new class of algebras, weak UP‐algebras, briefly written as WUP‐algebras, as a wider class than the classes of UP‐algebras and KU‐algebras. We investigate fundamental aspects including maximal elements, branches and the subalgebra consisting of maximal elements of a WUP‐algebra.
Muhammad Anwar Chaudhry, Asfand Fahad, Muhammad Imran Qureshi, Urwa Riasat, Musavarah Sarwar   +4 more
wiley   +1 more source

N-SUBALGEBRAS AND N-IDEALS BASED ON A SUB-BCK-ALGEBRA OF A BCI-ALGEBRA [PDF]

Communications of the Korean Mathematical Society, 2012
Based on a sub-BCK-algebra K of a BCI-algebra X, the notions of N-subalgebras and N-ideals of X are introduced, and their relations/properties are investigated.
Kyoung-Ja Lee, Young-Bae Jun
openaire   +1 more source

Algebraic Properties of (ω, θ)‐Complex Fuzzy Subgroups

Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022
This paper defined the notion of (ω, θ)‐complex fuzzy sets, (ω, θ)‐complex fuzzy subgroupoid, and (ω, θ)‐complex fuzzy subgroups and described important examples under (ω, θ)‐complex fuzzy sets. Additionally, we discussed the conjugacy class of group with respect to (ω, θ)‐complex fuzzy normal subgroups.
Ahad Abdullah Al-harshni, Dilshad Alghazzawi, Musavarah Sarwar   +2 more
wiley   +1 more source

Kannan Nonexpansive Operators on Variable Exponent Cesàro Sequence Space of Fuzzy Functions

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
In general, we have constructed the operator ideal generated by extended s‐fuzzy numbers and a certain space of sequences of fuzzy numbers. An investigation into the conditions sufficient for variable exponent Cesàro sequence space of fuzzy functions furnished with the definite function to create pre‐quasi‐Banach and closed is carried out.
Awad A. Bakery, Mustafa M. Mohammed, Santosh Kumar   +2 more
wiley   +1 more source

Generalizations of Fuzzy q‐Ideals of BCI‐Algebras

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
In this paper, we introduce the notion of (∈, ∈∨(κ∗, qκ))‐fuzzy q‐ideals of BCI‐algebras to propose a more general form of fuzzy q‐ideals of BCI‐algebras. We prove that (∈, ∈∨q)‐fuzzy q‐ideals and (∈∨(κ∗, qκ), ∈∨(κ∗, qκ))‐fuzzy q‐ideals are (∈, ∈∨(κ∗, qκ))‐fuzzy q‐ideals, but the converse assertion is not valid and examples are given to support this ...
G. Muhiuddin, D. Al-Kadi, A. Mahboob, A. Assiry, Abdullah Alsubhi, Naeem Jan   +5 more
wiley   +1 more source

BMBJ-neutrosophic subalgebra in BCI/BCK-algebras [PDF]

Neutrosophic Sets and Systems, 2019
For the first time Smarandache introduced neutrosophic sets which can be used as a mathematical tool for dealing with indeterminate and inconsistent information.
H. Bordbar, M. Mohseni Takallo, R.A. Borzooei, Young Bae Jun   +3 more
doaj   +1 more source

[Retracted] A Novel Study of Graphs Based on m‐Polar Cubic Structures

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
By combining the notions of interval‐valued m‐polar fuzzy graphs and m‐polar fuzzy graphs, the notion of m‐polar cubic graphs is first introduced. Then, the degree of a vertex in m‐polar cubic graphs and complete m‐polar cubic graphs is defined. After that, the concepts of direct product and strong product of m‐polar cubic graphs are given.
G. Muhiuddin, A. M. Alanazi, A. Mahboob, A. H. Alkhaldi, Wejdan Alatwai, Muhammad Gulzar   +5 more
wiley   +1 more source