Generalizing the concepts of (∈,∈ ∨q)-fuzzy hyperideal, (∈,∈ ∨q)-fuzzy quasi-hyperideal and (∈,∈ ∨q)-fuzzy bihyperideal, the notions of (∈,∈ ∨qk)-fuzzy hyperideal, (∈,∈ ∨qk)-fuzzy quasi-hyperideal and (∈,∈ ∨qk)-fuzzy bi-hyperideal are defined. Using these notions, different classes of semihypergroups are characterized.

We consider “hyperideal” circle patterns, i.e. patterns of disks which do not cover the whole surface, which are associated to hyperideal hyperbolic polyhedra. The main result is that, on a Euclidean or hyperbolic surface with conical singularities, those hyperideal circle patterns are uniquely determined by the intersection angles of the circles and the singular curvatures. This is related to ...

Inspired by the classical concept of height of a prime ideal in a ring, we proposed in a precedent paper the notion of height of a prime hyperideal in a Krasner hyperring. In this note we first generalize some results concerning the height of a prime hyperideal in a Noetherian Krasner hyperring, with the intent to extend this definition to the case of a general hyperideal in a such hyperring. T...

Using the concept of intuitionistic fuzzy point, the notion of (∈,∈ ∨q)intuitionistic fuzzy bi-hyperideal of semihypergroups is introduced. Several characterizations of this notion are given and the behavior of this structure under homomorphisms of semihypergroups is discussed. Finally, the notion of prime (semiprime) (∈,∈ ∨q)-intuitionistic fuzzy bi-hyperideal of semihypergroups is introduced ...

The notion of bipolar fuzzy set was initiated by Lee (2000) as a generalization of the notion fuzzy sets and intuitionistic fuzzy sets, which have drawn attention of many mathematicians and computer scientists. In this paper, we initiate a study on bipolar ( ,   )-fuzzy sets in -semihypergroups. By using the concept of bipolar ( ,   )-fuzzy sets (Yaqoob and Ansari, 2013), we introduce the ...

Let (M, ∂M) be a 3-manifold with incompressible boundary that admits a convex co-compact hyperbolic metric (but is not a solid torus). We consider the hyperbolic metrics on M such that ∂M looks locally like a hyperideal polyhedron, and we characterize the possible dihedral angles. We find as special cases the results of Bao and Bonahon [BB02] on hyperideal polyhedra, and those of Rousset [Rou02...

The main theme of this paper is to study ordered semihypergroups in the context of int-soft interior hyperideals. In this paper, the notion of int-soft interior hyperideals are studied and their related properties are discussed. We present characterizations of interior hyperideals in terms of int-soft interior hyperideals. The concepts of int-soft hyperideals and int-soft interior hyperideals c...

In this study, we propose the concept of left extension a hyperideal by generalizing k-hyperideals in ordered semihyperrings with symmetrical hyper-operation ?. By using notion k-hyperideal, prove some results semihyperrings. The paper can be viewed as generalization for k-ideals semirings.

In this article we give the definition of weakly prime hyperideals over multiplicative hyperring. We provide important results showing relations between and hyperideals. Then n-hyperideal (1,n) hyperideal hyperrings. investigate their properties some examples. Hyperstructures are very topic because it satisfy to study multidisiplinary. Especially in chemistry, coding theory, geometry, artificia...