The fuzzyfication of hypercompositional structures has developed in several directions. In
this note we follow one direction and extend the classical concept of reducibility in …

A multiset is a set containing repeated elements. The objective of this paper is to combine
the innovative concept of multisets and polygroups. In particular, we use multisets and fuzzy …

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 …

In 1957, M. Krasner described a complete valued field (K, v) as the inverse limit of a system
of certain structures, called hyperfields, associated with (K, v). We put this result in purely …

In recent years, fuzzy multisets have become a subject of great interest for researchers and
have been widely applied to algebraic structures including groups, rings, and many other …

The aim of the article is to initiate a new study in the framework of algebraic hyperfields, with
an applicative impact in cryptography. First we define the notions of generalized Weierstrass …

In this paper, we introduce generalized homographic transformations as
hyperhomographies over Krasner hyperfields. These particular algebraic hyperstructues are …

In this paper, we show a new construction of hypergroups that, under appropriate conditions,
are complete hypergroups or non-complete 1-hypergroups. Furthermore, we classify the 1 …

On a general hyperring, there is a fundamental relation, denoted γ*, such that the quotient
set is a classical ring. In a previous paper, the authors defined the relation εm on general …

An multi-polar fuzzy set is a robust mathematical model to examine multipolar, multiattribute,
and multi-index data. The multi-polar fuzzy sets was created as a useful mechanism to …