Results 21 to 30 of about 334,235 (104)
Rough Hyperfilters in Po-LA-Semihypergroups
Discrete Dynamics in Nature and Society, 2019 This paper concerns the study of hyperfilters of ordered LA-semihypergroups, and presents some examples in this respect. Furthermore, we study the combination of rough set theory and hyperfilters of an ordered LA-semihypergroup.
Ferdaous Bouaziz, Naveed Yaqoob
doaj +2 more sources
Relationship between ordered semihypergroups and ordered semigroups by using pseudoorder
European Journal of Combinatorics, 2015 Most of the results on semigroups (ordered semigroups) can be transferred to hypersemigroups (ordered hypersemigroups). We never work directly on an hypersemigroup. If we want to obtain a result for an hypersemigroup (ordered hypersemigroup), then we have to solve it first for a semigroup (ordered semigroup) and transfer its proof to hypersemigroup ...
Bijan Davvaz
exaly +4 more sources
Characterizations of (strongly) ordered regular relations on ordered semihypergroups
Journal of Algebra, 2016 In this paper, the authors study the concept of ordered regular (strongly ordered regular) equivalence relations on ordered semihypergroups. In particular, they construct an ordered regular equivalence relation on an ordered semihypergroup by hyperideals such that the corresponding quotient structure is also an ordered semihypergroup, which answers the
Xilin Tang, Ze Gu
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On (Fuzzy) Weakly Almost Interior Γ-Hyperideals in Ordered Γ-Semihypergroups
International Journal of Analysis and Applications, 2023 In this paper, we concentrate on studying the generalization of almost interior Γ-hyperideals in ordered Γ-semihypergroups. The notion of weakly almost interior Γ-hyperideals of ordered Γ-semihypergroups is introduced. This concept generalizes the notion
Warud Nakkhasen +2 more
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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
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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 +6 more
wiley +1 more source
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 +5 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
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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 +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 +5 more
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