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...

In this paper, first we introduce the notions of an $(m,n)$-hyperideal and a generalized $(m,n)$-hyperideal in an ordered semihypergroup, and then, some properties of these hyperideals are studied. Thereafter, we characterize $(m,n)$-regularity, $(m,0)$-regularity, and $(0,n)$-regularity of an ordered semihypergroup in terms of its $(m,n)$-hyperideals, $(m,0)$-hyperideals and $(0,n)$-hyperideal...

Let $R$ be a commutative ring and $M$ be an $R$-module. In this paper, we investigate some properties of 2-absorbing submodules of $M$. It is shown that $N$ is a 2-absorbing submodule of $M$ if and only if whenever $IJLsubseteq N$ for some ideals $I,J$ of R and a submodule $L$ of $M$, then $ILsubseteq N$ or $JLsubseteq N$ or $IJsubseteq N:_RM$. Also, if $N$ is a 2-absorbing submodule of ...

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 work‎, ‎we introduce the concept of classical 2-absorbing secondary modules over a commutative ring as a generalization of secondary modules and investigate some basic properties of this class of modules‎. ‎Let $R$ be a commutative ring with‎ ‎identity‎. ‎We say that a non-zero submodule $N$ of an $R$-module $M$ is a‎ ‎emph{classical 2-absorbing secondary submodule} of $M$ ...