Results 11 to 20 of about 868 (127)

Fuzzy Set Theoretic Approach to Generalized Ideals in BCK/BCI-Algebras

Journal of Function Spaces, 2022
This paper deals with the study of generalizations of fuzzy subalgebras and fuzzy ideals in BCK/BCI-algebras. In fact, the notions of ∈,∈∨κ~∗,qκ~-fuzzy subalgebras, ∈,∈∨κ~∗,qκ~-fuzzy ideals, and ∈∨κ~∗,qκ~,∈∨κ~∗,qκ~-fuzzy ideals in BCK/BCI-algebras are ...
G. Muhiuddin, N. Alam, S. Obeidat, N. M. Khan, H. N. Zaidi, S. A. K. Kirmani, A. Altaleb, J. M. Aqib   +7 more
doaj   +2 more sources

Definitions of BCK algebras and BCI algebras [PDF]

Advances in Intelligent Systems Research, 2015
In this paper, we consider the definitions of the BCK and BCI Algebra. We put out four examples in order to prove that any one of the four conditions in the definition of BCK algebra cannot be proofed by other three conditions. Next we simplify the definitions of the BCK and BCI Algebra by giving new equivalent conditions.
Li-xia Song, Kun-Long Zhang
openaire   +1 more source

Applications on Bipolar Vague Soft Sets

Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023
The purpose of this research is to interpolate bipolarity into the definition of the vague soft set. This gives a new more applicable, flexible, and generalized extension of the soft set, the fuzzy soft set, or even the vague soft set, which is the bipolar vague soft set.
Hanan H. Sakr, Abdisalam Hassan Muse, Mohamed S. Mohamed, Saieed F. Ateya, Jun Ye   +4 more
wiley   +1 more source

Generalized Ideals of BCK/BCI‐Algebras Based on MQHF Soft Set with Application in Decision Making

Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023
The purpose of this study is to generalize the concept of Q‐hesitant fuzzy sets and soft set theory to Q‐hesitant fuzzy soft sets. The Q‐hesitant fuzzy set is an admirable hybrid property, specially developed by the new generalized hybrid structure of hesitant fuzzy sets.
Maryam Abdullah Alshayea, Kholood Mohammad Alsager, Jun Ye   +2 more
wiley   +1 more source

A Novel Study Based on Fuzzy p‐Ideals of BCI‐Algebras

Journal of Function Spaces, Volume 2023, Issue 1, 2023., 2023
In this paper, we propose the concept of (∈, ∈ ∨(j∗, qj))‐fuzzy p‐ideals in “BCI‐algebras.” We show that “(∈, ∈∨q))‐fuzzy p‐ideals” and “(∈∨(j∗, qj), ∈ ∨(j∗, qj))‐fuzzy p‐ideals” are “(∈, ∈ ∨(j∗, qj))‐fuzzy p‐ideals.” However, the converse is not true, then presented examples.
G. Muhiuddin, Nabilah Abughazalah, A. Mahboob, M. E. Elnair, Abdullah G. Alotaibi, Ganesh Ghorai   +5 more
wiley   +1 more source

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

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

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

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