Results 21 to 30 of about 334,145 (117)

On ordered G-semihypergroups Containing Two-sided Bases [PDF]

, 2021
The main purpose of this paper is to study the concept of an ordered G-semihypergroup containing two-sided bases that are studied analogously to the concept of G-semigroup containing two-sided bases considered by Thawhat Changpas and Pisit Kummoon in ...
Budpan, Chanon, Loesna, Weeradon, Jantanan, Wichayaporn   +2 more
core   +1 more source

Characterization of Ordered Semihypergroups by Covered Hyperideals

Kragujevac Journal of Mathematics, 2023
After introducing the notions of the Green’s relation J, hyper J-class and covered hyperideal in an ordered semihypergroup, some important properties of the hyper J-class and covered hyperideals are studied. Then maximal and minimal hyperideals of an ordered semihypergroup are defined and some vital results have been proved.
Ali, Md. Firoj, Khan, Noor Mohammad
openaire   +1 more source

ϕ ‐δ‐Primary Hyperideals in Krasner Hyperrings

Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022
In this paper, we study commutative Krasner hyperrings with nonzero identity. ϕ‐prime, ϕ‐primary and ϕ‐δ‐primary hyperideals are introduced. The concept of δ‐primary hyperideals is extended to ϕ‐δ‐primary hyperideals. Some characterizations of hyperideals are provided to classify them.
Hao Guan, Elif Kaya, Melis Bolat, Serkan Onar, Bayram Ali Ersoy, Kostaq Hila, Hasan Dinçer   +6 more
wiley   +1 more source

(m, n)-Hyperfilters in Ordered Semihypergroups

Kragujevac Journal of Mathematics, 2022
we generalize concepts of left hyperfilters, right hyperfilters and hyperfilters of an ordered semihypergroup by introducing concepts of left-m-hyperfilters, right-n-hyperfilters and (m,n)-hyperfilters of an ordered semihypergroup. Then, some properties of these generalized hyperfilters have been studied. Finally, left-m-hyperfilters (resp. right-n-hyperfilters,
Mahboob, Ahsan, Khan, Noor Mohammad
openaire   +2 more sources

Multicriteria Decision‐Making Problem via Weighted Cosine Similarity Measure and Several Characterizations of Hypergroup and (Weak) Polygroups under the Triplet Single‐Valued Neutrosophic Structure

Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022
Polygroups are an extended form of groups and a subclass of hypergroups that follow group‐type axioms. In this paper, we define a triplet single‐valued neutrosophic set, which is a generalization of fuzzy sets, intuitionistic fuzzy sets, and neutrosophic sets, and we combine this novel concept with hypergroups and polygroups.
M. Shazib Hameed, Zaheer Ahmad, Shahbaz Ali, Augustine Larweh Mahu, Walid F. A Mosa, Dragan Z. Marinkovic   +5 more
wiley   +1 more source

Some Properties of Weak Γ‐Hyperfilters in OrderedΓ‐Semihypergroups

Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022
The main purpose of this paper is to study fundamental properties of weak Γ‐hyperfilters on ordered Γ‐semihypergroups that is a generalization of Γ‐hyperfilters. Also, we investigate the relationship between weak Γ‐hyperfilters and prime Γ‐hyperideals in ordered Γ‐semihypergroups.
Yongsheng Rao, Xiang Chen, Saeed Kosari, Mohammadsadegh Monemrad, Márcio J. Lacerda   +4 more
wiley   +1 more source

On generalized fuzzy sets in ordered LA-semihypergroups; pp. 43–54 [PDF]

Proceedings of the Estonian Academy of Sciences, 2019
Using the notion of generalized fuzzy sets, we introduce the notions of generalized fuzzy hyperideals, generalized fuzzy bi-hyperideals, and generalized fuzzy normal bi-hyperideals in an ordered nonassociative and non-commutative algebraic structure ...
Muhammad Gulistan, Naveed Yaqoob, Seifedine Kadry, Muhammad Azhar   +3 more
doaj   +1 more source

Characterizations of Hyperideals and Interior Hyperideals in Ordered Γ‐Semihypergroups

Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022
We give some conditions on ordered Γ‐semihypergroups under which their interior hyperideal is equal to the hyperideal. In this paper, it is shown that in regular (resp., intraregular, semisimple) ordered Γ‐semihypergroups, the hyperideals and the interior hyperideals coincide.
Yongsheng Rao, Qixin Zhou, Ruiqi Cai, Aysha Khan, Zahir Shah   +4 more
wiley   +1 more source

[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] 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