Results 51 to 60 of about 305 (130)
A hypergroupal characterization of projective planes
, 2000 We give two sufficient conditions for a hypergroupoid to be a feeble semi-hypergroupoid and a sufficient condition to be a feeble hypergroup. We show that every hypergroup in the class of the k-quasi-Steiner hypergroupoids is feebly associative. Finally,
Gentile, Giuseppe
core +1 more source
Rough Hyperfilters in Po‐LA‐Semihypergroups
Discrete Dynamics in Nature and Society, Volume 2019, Issue 1, 2019., 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. We define the concept of rough hyperfilters and provide useful examples on it.
Ferdaous Bouaziz +2 more
wiley +1 more source
On (∈, ∈∨qk)‐Fuzzy Hyperideals in Ordered LA‐Semihypergroups
Discrete Dynamics in Nature and Society, Volume 2018, Issue 1, 2018., 2018 The concept of (∈, ∈∨qk)‐fuzzy hyperideal of an ordered LA‐semihypergroup is introduced by the ordered fuzzy points, and related properties are investigated. We study the relations between different (∈, ∈∨qk)‐fuzzy hyperideal of an ordered LA‐semihypergroup. Furthermore, we study some results on homomorphisms of (∈, ∈∨qk)‐fuzzy hyperideals.
Muhammad Azhar +4 more
wiley +1 more source
On ordered hypersemigroups with idempotent ideals, prime and weakly prime ideals
, 2018 Some well known results on ordered semigroups are examined in case of ordered hypersemigroups. Following the paper in Semigroup Forum 44 (1992), 341--346, we prove the following: The ideals of an ordered hypergroupoid$H$ are idempotent if and only if for
N. Kehayopulu
semanticscholar +1 more source
Fuzzy hypergroups based on fuzzy relations
, 2010 Based on fuzzy reasoning in fuzzy logic, this paper studies a fuzzy hyperoperation and a fuzzy hypergroupoid associated with a fuzzy relation. A sufficient and necessary condition for such a fuzzy hypergroupoid being a fuzzy hypergroup is given, and the ...
Hongxing Li +5 more
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Hyperstructures associated with binary relations
, 2006 In this paper, we deal with the partial hyperoperation introduced and studied by Corsini [1]. Various characterizations of the relations R, so that (H, ÕR) is a hypergroupoid, are given by means of the associated Boolean matrices. All hypergroupoids (H,
Mamaloukas, C., Spartalis, S.I.
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C-hypergroupoids obtained by special binary relations
, 2010 In this paper we deal with the partial or non-partial C-hypergroupoids which are associated with special binary relations defined on H, such as Reflexive, Symmetric, Cyclic and Transitive.
Spartalis, S. +2 more
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Green's Relations for Hypergroupoids
European Journal of Pure and Applied Mathematics, 2018 We give some information concerning the Green's relations $\cal R$ and $\cal L$ in hypergroupoids extending the concepts of right (left) consistent or intra-consistent groupoids in case of hypergroupoids. We prove, for example, that if an hypergroupoid $H$ is right (left) consistent or intra-consistent, then the Green's relations $\cal R$ and $\cal L ...
openaire +1 more source
Multivalued functions, fuzzy subsets and join spaces [PDF]
, 2009 One has considered the Hypergroupoid Η Γ = associated with a multivalued function Γ from H to a set D, defined as follows: ∀ x ∈ H, x ο Γ x = ⎨y⏐ Γ(y) ∩ Γ(x) ≠ ∅⎬ , ∀ (y,z) ∈ H 2 , y ο Γ z = y ο Γ y ∪ z ο Γ z , and one has calculated the fuzzy grade ∂(Η
CORSINI, Piergiulio +3 more
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MULTIVALUED FUNCTIONS, FUZZY SUBSETS AND JOIN SPACES
Ratio Mathematica, 2010 One has considered the Hypergroupoid Η Γ = < H;ο Γ > associated with a multivalued function Γ from H to a set D, defined as follows: ∀ x ∈ H, x ο Γ x = ⎨y⏐ Γ(y) ∩ Γ(x) ≠ ∅⎬ , ∀ (y,z) ∈ H 2 , y ο Γ z = y ο Γ y ∪ z ο Γ z , and one has calculated the fuzzy ...
Piergiulio Corsini, Razieh MAHJOOB
doaj