Results 41 to 50 of about 706 (164)

[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] Approximations of Intuitionistic Fuzzy Ideals over Dual Spaces by Soft Binary Relations

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
The major advantage of this proposed work is to investigate roughness of intuitionistic fuzzy subsemigroups (RIFSs) by using soft relations. In this way, two sets of intuitionistic fuzzy (IF) soft subsemigroups, named lower approximation and upper approximation regarding aftersets and foresets, have been introduced.
Muhammad Zishan Anwar, Shahida Bashir, Muhammad Aslam, Muhammad Shabir, Ganesh Ghorai   +4 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

A novel approach to study ternary semihypergroups in terms of prime soft hyperideals

AIMS Mathematics, 2023
In this paper, we give the generalized form of soft semihypergroups in ternary structure and have studied it with the help of examples. There are some structures that are not appropriately handled by using the binary operation of the semihypergroup ...
Shahida Bashir, Rabia Mazhar, B. Almutairi, N. R. Chaudhry   +3 more
semanticscholar   +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

2‐Prime Hyperideals of Multiplicative Hyperrings

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
Multiplicative hyperrings are an important class of algebraic hyperstructures which generalize rings further to allow multiple output values for the multiplication operation. Let R be a commutative multiplicative hyperring. A proper hyperideal I of R is called 2‐prime if x∘y⊆I for some x, y ∈ R, then, x2⊆I or y2⊆I.
Mahdi Anbarloei, Xiaogang Liu
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

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

Characterizations of regular and intra-regular ordered $\Gamma$-semihypergroups in terms of bi-$\Gamma$-hyperideals

Karpatsʹkì Matematičnì Publìkacìï, 2019
The concept of $\Gamma$-semihypergroups is a generalization of semigroups, a generalization of semihypergroups and a generalization of $\Gamma$-semigroups.
S. Omidi, B. Davvaz, K. Hila
doaj   +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