Results 31 to 40 of about 165 (103)

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

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

Approximations of (∈, ∈∨qk)‐Fuzzy Hyperideals in Ordered LA‐Semihypergroups

Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021
This paper concerns the relationship between rough sets, (∈, ∈∨qk)‐fuzzy sets, and the LA‐semihypergroups. We proved that the lower approximation (l‐approx) and the upper approximation (u‐approx) of different hyperideals of LA‐semihypergroups become again hyperideal and also provided some examples.
Nabilah Abughazalah, Naveed Yaqoob, Samavia Ashraf, G. Muhiuddin   +3 more
wiley   +1 more source

[Retracted] Topological Structures of Lower and Upper Rough Subsets in a Hyperring

Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021
In this paper, we study the connection between topological spaces, hyperrings (semi‐hypergroups), and rough sets. We concentrate here on the topological parts of the lower and upper approximations of hyperideals in hyperrings and semi‐hypergroups. We provide the conditions for the boundary of hyp‐ideals of a hyp‐ring to become the hyp‐ideals of hyp ...
Nabilah Abughazalah, Naveed Yaqoob, Kiran Shahzadi, naeem jan   +3 more
wiley   +1 more source

CHARACTERIZING HYPERGROUPOIDS THROUGH M-RELATIONS AND M-CONSISTENCIES

, 2023
In this article, we define the m-right consistent/m-left consistent and m-consistent hypergroupoids. We also define the m-intra-consistent hy-pergroupoid.
Kausar, Nasreen
core   +1 more source

The Path Hyperoperation

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
A new class of hypergroupoids, deriving from binary relations, is presented, via the introduced path hyperoperation. Its properties are investigated and its connections with Graph Theory are also delineated.
Kalampakas Antonios, Spartalis Stefanos, Tsigkas Alexandros   +2 more
doaj   +1 more source

On the Prime Radical of a Hypergroupoid [PDF]

Journal of Mathematics and Statistics, 2005
In this study, we give definitions of a prime ideal, a s-semiprime ideal and a w-semiprime ideal for a hypergroupoid K. For an ideal A of K we show that radical of A (R(A)) can be represented as the intersection of all prime ideals of K containing A and we define a strongly A-nilpotent element.
openaire   +2 more sources

Algorithms for determining the type of algebraic hyperstructures and morphisms [PDF]

Mathematics and Computational Sciences
In this paper, we present some primary methods to define a hypergroupoid by algorithm. Then, we present algorithms for checking if it is closed under ο, associativity, weak associativity, commutativity, weak commutativity, establishing the reproduction ...
Aboutorab Pourhaghani, Seid Mohammad Anvariyeh, Bijan Davvaz   +2 more
doaj   +1 more source

Algebraic Hyperstructures and Fuzzy Logic in the Treatment of Uncertainty

Science & Philosophy, 2016
This study presents some fundamental aspects of recent theories  on algebraic Hyperstructures, an important tool for an interdisciplinary vision of Geometry and Algebra.
Antonio Maturo, Annamaria Porreca
doaj   +1 more source