Results 31 to 40 of about 334,235 (104)

[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

Some Properties of Relative Bi-(Int-)Γ-Hyperideals in Ordered Γ-Semihypergroups

Frontiers in Physics, 2020
In this article, we study the concept of relative bi-Γ-hyperideals (J-bi-Γ-hyperideals) in ordered Γ-semihypergroups and present some related examples of this concept.
Yongsheng Rao, Peng Xu, Peng Xu, Zehui Shao, Saeed Kosari, Saber Omidi   +5 more
doaj   +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

[Retracted] Interval‐Valued m‐Polar Fuzzy Positive Implicative Ideals in BCK‐Algebras

Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021
In this paper, the notion of interval‐valued m‐polar fuzzy positive implicative ideals in BCK‐algebras is presented. Then, the relationships between interval‐valued m‐polar fuzzy positive implicative ideals and interval‐valued m‐polar fuzzy ideals are investigated.
G. Muhiuddin, D. Al-Kadi, A. Mahboob, Amjad Albjedi, Naeem Jan   +4 more
wiley   +1 more source

Cayley Graphs over LA‐Groups and LA‐Polygroups

Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021
The purpose of this paper is the study of simple graphs that are generalized Cayley graphs over LA‐polygroups (GCLAP − graphs). In this regard, we construct two new extensions for building LA‐polygroups. Then, we define Cayley graph over LA‐group and GCLAP‐graph.
Nabilah Abughazalah, Naveed Yaqoob, Asif Bashir, Roslan Hasni   +3 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

Applications of (Neutro/Anti)sophications to Semihypergroups

Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021
In this paper, we extend the notion of semi‐hypergroups (resp. hypergroups) to neutro‐semihypergroups (resp. neutro‐hypergroups). We investigate the property of anti‐semihypergroups (resp. anti‐hypergroups). We also give a new alternative of neutro‐hyperoperations (resp. anti‐hyperoperations), neutro‐hyperoperation‐sophications (resp.
A. Rezaei, F. Smarandache, S. Mirvakili, Parimala Mani   +3 more
wiley   +1 more source