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 …

STUDFUZZ 321 - Fundamentals of Algebraic (Hyper)Structures Page 1 Chapter 1
Fundamentals of Algebraic (Hyper)Structures 1.1 Groups If G is a non-empty set, a binary …

In this survey article, we first introduce the concept of quasi-coincidence of a fuzzy interval
value with an interval valued fuzzy set. This concept is a generalized concept of quasi …

After the introduction of fuzzy sets by Zadeh, there have been a number of generalizations of
this fundamental concept. The notion of intuitionistic fuzzy sets introduced by Atanassov is …

The purpose of this article is to present certain results arising from a study of theory of
hyperrings. By a hyperring we mean a Krasner hyperring, that is, a triple (R,+,·) is such that …

The main tools in the theory of hyperstructues are the fundamental relations. The
fundamental relation on a hyperring was introduced by Vougiouklis at the fourth AHA …

One of the aims of this article is to extract, whenever possible, the common elements of
several seemingly different types of algebraic hypersystems. In achieving this, one discovers …

Our planet is afflicted by increasingly cataclysmic climactic changes. The only possibility for
their containment is the development of new, clean, energies and fuels. But, all possible …

In this paper the class of n-ary hypergroups is introduced and several properties are found
andexamples are presented. n-ary hypergroups are a generalization of hypergroups in the …

This paper is aimed at studying the rough sets within the context of the commutative n-ary
hypergroups. For this approach, the presentation of a detailed study of the various types of n …