Results 31 to 40 of about 227 (121)
$n-$absorbing $I-$prime hyperideals in multiplicative hyperrings [PDF]
, 2023 In this paper, we define the concept $I-$prime hyperideal in a multiplicative hyperring $R$. A proper hyperideal $P$ of $R$ is an $I-$prime hyperideal if for $a, b \in R$ with $ab \subseteq P-IP$ implies $a \in P$ or $b \in P$.
Mina, Ali A., Akray, Ismael
core +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 +4 more
wiley +1 more source
$r$-Hyperideals and Generalizations of $r$-Hyperideals in Krasner Hyperrings
, 2021 In this study, we examine some properties of $r$-hyperideals in the 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 $r$-hyperideal is also an $r$-hyperideal.
Bolat, Melis +5 more
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On 2-absorbing Primal Hyperideals Of Multiplicative Hyperrings [PDF]
, 2020 Let R be a commutative multiplicative hyperring. In this paper, we introduce the concept of 2-absorbing primal hyperideals. A non zero hyperideal I of a multiplicative hyperring R is called a 2-absorbing primal hyperideal of R if the set of all elements ...
Arwa Ashour +5 more
core +3 more sources
A Generalized Decision‐Making Technique Based on Bipolar‐Valued Multivague Soft Sets
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 The decision‐making technique, launched by Roy and Maji, is considered an effective method to overcome uncertainty and fuzziness in decision‐making problems, though, adapting it to reflect the problem parameters’ vagueness, as well as multibipolarity, is very difficult. So, in this article, the bipolarity is interpolated into the multivague soft set of
Hanan H. Sakr +3 more
wiley +1 more source
On quasi-hyperideals and bi-hyperideals in multiplicative hypersemirings
Journal of Hyperstructures, 2023 In this paper we introduce the notion of quasi-hyperideal in multiplicative hypersemirings which is a generalization of one-sided hyperideal and study some of its properties and obtain some characterizations of quasi-hyperideal in multiplicative hypersemirings. Also, we introduce the notion of bi-hyperideal in multiplicative hypersemirings.
openaire +2 more sources
On characterization of regular ordered ternary semihypergroups by relative hyperideals
, 2021 <p>In the present paper, we introduce the relative left, right, lateral, two-sided hyperideal, relative quasi-hyperideal, relative bi-hyperideal, relative sub-idempotent ordered bi-hyperideal, relative generalized quasi-hyperideal, relative ...
Abul Basar, Naveed Yaqoob, M. Y. Abbasi and Bhavanari Satyanarayana
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An Approach to BMBJ‐Neutrosophic Hyper‐BCK‐Ideals of Hyper‐BCK‐Algebras
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 In this article, a new idea of BMBJ‐neutrosophic hyper‐BCK‐algebras is introduced and some of its properties are investigated. Here, BMBJ‐neutrosophic hyper‐BCK‐ideal, BMBJ‐neutrosophic weak hyper‐BCK‐ideal, BMBJ‐neutrosophic s‐weak hyper‐BCK‐ideal, and BMBJ‐neutrosophic strong hyper‐BCK‐ideal are presented, and some relevant results and relations are ...
Abdelaziz Alsubie +4 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 +5 more
wiley +1 more source
Factorizable Ordered Hypergroupoids with Applications
Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021 In this study, we propose the concept of factorizable ordered hypergroupoids (semihypergroups) and present several of its properties. Our goal is to construct ordered hypergroupoid from blood groups together with some other information. Finally, we discuss right magnifying elements for further research.
Xiaolong Shi +4 more
wiley +1 more source