This book presents some of the numerous applications of hyperstructures, especially those
that were found and studied in the last fifteen years. There are applications to the following …

This monograph is devoted to the study of Polygroup Theory. It begins with some basic
results concerning group theory and algebraic hyperstructures, which represent the most …

A Krasner hyperring (for short, a hyperring) is a generalization of a ring such that the
addition is multivalued and the multiplication is as usual single valued and satisfies the …

Using the notion of bipolar-valued fuzzy soft set, the concepts of bipolar-valued fuzzy soft
(weak, s-weak, strong) hyper BCK ideal are introduced, and related properties and relations …

The purpose of this paper is the study of dimension of hypervector spaces. In this regard first
we introduce the notions of linear independent (resp. dependent) and basis of hypervector …

The concept of algebraic hyperstructures introduced by Marty as a generalization of ordinary
algebraic structures. In an ordinary algebraic structure, the composition of two elements is …

This paper provides a continuation of ideas presented by Davvaz and Mahdavipour [B.
Davvaz, M. Mahdavipour, Roughness in modules, Inform. Sci. 176 (2006) 3658–3674]. The …

In this paper, we introduce and study injective and projective (Krasner) hypermodules. In this
regards, we introduce and study various kinds of projective and injective hypermodules …

We describe the relationship between the fuzzy sets and the algebraic hyperstructures. In
fact, this paper is a continuation of the ideas presented by Davvaz in (Fuzzy Sets Syst., 117 …

We introduce and study the notion of fuzzy multialgebras on the basis of a new definition of a
fuzzy hyperoperation. We introduce the notion of fuzzy regular (resp., fuzzy strongly regular) …