Results 41 to 50 of about 206 (112)

Some Properties of Weak Γ‐Hyperfilters in OrderedΓ‐Semihypergroups

Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022
The main purpose of this paper is to study fundamental properties of weak Γ‐hyperfilters on ordered Γ‐semihypergroups that is a generalization of Γ‐hyperfilters. Also, we investigate the relationship between weak Γ‐hyperfilters and prime Γ‐hyperideals in ordered Γ‐semihypergroups.
Yongsheng Rao, Xiang Chen, Saeed Kosari, Mohammadsadegh Monemrad, Márcio J. Lacerda   +4 more
wiley   +1 more source

On generalized fuzzy sets in ordered LA-semihypergroups; pp. 43–54 [PDF]

Proceedings of the Estonian Academy of Sciences, 2019
Using the notion of generalized fuzzy sets, we introduce the notions of generalized fuzzy hyperideals, generalized fuzzy bi-hyperideals, and generalized fuzzy normal bi-hyperideals in an ordered nonassociative and non-commutative algebraic structure ...
Muhammad Gulistan, Naveed Yaqoob, Seifedine Kadry, Muhammad Azhar   +3 more
doaj   +1 more source

Characterizations of Hyperideals and Interior Hyperideals in Ordered Γ‐Semihypergroups

Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022
We give some conditions on ordered Γ‐semihypergroups under which their interior hyperideal is equal to the hyperideal. In this paper, it is shown that in regular (resp., intraregular, semisimple) ordered Γ‐semihypergroups, the hyperideals and the interior hyperideals coincide.
Yongsheng Rao, Qixin Zhou, Ruiqi Cai, Aysha Khan, Zahir Shah   +4 more
wiley   +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

[Retracted] Roughness in Hypervector Spaces

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
This paper examines rough sets in hypervector spaces and provides a few examples and results in this regard. We also investigate the congruence relations‐based unification of rough set theory in hypervector spaces. We introduce the concepts of lower and upper approximations in hypervector spaces.
Nabilah Abughazalah, Naveed Yaqoob, Muhammad Usman, Muhammad Gulzar   +3 more
wiley   +1 more source

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

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 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 introduced.
G. Muhiuddin, N. Alam, S. Obeidat, N. M. Khan, H. N. Zaidi, S. A. K. Kirmani, A. Altaleb, J. M. Aqib, Muhammad Gulzar   +8 more
wiley   +1 more source

A New Approach to Evaluate Regular Semirings in terms of Bipolar Fuzzy k‐Ideals Using k‐Products

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
In this paper, we provide a generalized form of ideals that is k‐ideals of semirings with the combination of a bipolar fuzzy set (BFS). The BFS is a generalization of fuzzy set (FS) that deals with uncertain problems in both positive and negative aspects. The main theme of this paper is to present the idea of (α, β)‐bipolar fuzzy k‐subsemiring (k‐BFSS),
Shahida Bashir, Ahmad N. Al-Kenani, Tanzila Kausar, Rabia Mazhar, Ching-Feng Wen   +4 more
wiley   +1 more source

Soft Substructures in Quantales and Their Approximations Based on Soft Relations

Computational Intelligence and Neuroscience, Volume 2022, Issue 1, 2022., 2022
The aim of this research article is to derive a new relation between rough sets and soft sets with an algebraic structure quantale by using soft binary relations. The aftersets and foresets are utilized to define lower approximation and upper approximation of soft subsets of quantales.
Huan Zhou, Saqib Mazher Qurashi, Muti Ur Rehman, Muhammad Shabir, Rani Sumaira Kanwal, Ahmed Mostafa Khalil, Carmen De Maio   +6 more
wiley   +1 more source

r‐Hyperideals and Generalizations of r‐Hyperideals in Krasner Hyperrings

Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022
This paper deals with Krasner hyperrings as an important class of algebraic hyperstructures. We investigate some properties of r‐hyperideals in commutative Krasner hyperrings. Some properties of pr‐hyperideals are also studied. The relation between prime hyperideals and r‐hyperideals is investigated. We show that the image and the inverse image of an r‐
Peng Xu, Melis Bolat, Elif Kaya, Serkan Onar, Bayram Ali Ersoy, Kostaq Hila, Kamal Kumar   +6 more
wiley   +1 more source

Soft Relations Applied to the Substructures of Quantale Module and Their Approximation

Complexity, Volume 2022, Issue 1, 2022., 2022
This research article offers a study on a new relation of rough sets and soft sets with an algebraic structure quantale module by using soft reflexive and soft compatible relations. The lower approximation and upper approximation of subsets of quantale module are utilized by aftersets and foresets.
Saqib Mazher Qurashi, Khushboo Zahra Gilani, Muhammad Shabir, Muhammad Gulzar, Ashraful Alam, Zeljko Stevic   +5 more
wiley   +1 more source