Results 31 to 40 of about 334,145 (117)

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

[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

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

A Study on A − I − Γ‐Hyperideals and (m, n) − Γ‐Hyperfilters in Ordered Γ‐Semihypergroups

Discrete Dynamics in Nature and Society, Volume 2021, Issue 1, 2021., 2021
The concept of almost interior Γ‐hyperideals (A − I − Γ‐hyperideals) in ordered Γ‐semihypergroups is a generalization of the concept of interior Γ‐hyperideals (I − Γ‐hyperideals). In this study, the connections between I − Γ‐hyperideals and A − I − Γ‐hyperideals in ordered Γ‐semihypergroups were presented.
Yongsheng Rao, Saeed Kosari, Zehui Shao, Maryam Akhoundi, Saber Omidi, Tien Van Do   +5 more
wiley   +1 more source

The ordered semilattice equivalence relations on ordered semihypergroups

Quasigroups and Related Systems, 2022
The semilattice equivalence relations play an important role in investigating the structural properties of ordered semihypergroups. Such relations can be expressed in terms of hyperfilters. There are two concepts of (ordered) hyperfilters of (ordered) semihypergroups which were introduced by Tang et al. [16] and Kehayopulu[9].
Daengsaen, Jukkrit, Leeratanavalee, Sorasak   +1 more
openaire   +2 more sources