No abstract

No abstract

The concept of fuzzy multiset is well established in dealing with many real life problems. It is possible to find various applications of algebraic hypercompositional structures in natural, technical and social sciences, where symmetry, or the lack of symmetry, is clearly specified and laid out. In this paper, we use fuzzy multisets to introduce the concept of fuzzy multi- H v -ideals as a generalization of fuzzy H v -ideals. Moreover, we introduce the concept of generalized fuzzy multi- H v -ideals as a generalization of generalized fuzzy H v -ideals. Finally, we investigate the properties of these new concepts and present different examples.

No abstract

In this paper, we consider an application of hyperstructure theory in biological inheritance in which we deal with [Formula: see text]-ary hyperstructures associated to the genotypes of the second generation [Formula: see text] for [Formula: see text]. First, we define a hyperoperation × (mating) on [Formula: see text] and prove that it is a cyclic [Formula: see text]-semigroup under the defined hyperoperation. Then we define a ternary hyperstructure [Formula: see text] associated to the genotypes of [Formula: see text] and prove that [Formula: see text] is a ternary [Formula: see text]-semigroup. Finally, we define a [Formula: see text]-ary hyperstructure [Formula: see text] associated to the genotypes of [Formula: see text] and prove that [Formula: see text] is a [Formula: see text]-ary [Formula: see text]-semigroup.