This paper is written in the framework of the Special Issue of Mathematics entitled
“Hypercompositional Algebra and Applications”, and focuses on the presentation of the …

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 …

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 paper we introduce and analyze the fuzzy hyperring notion. We consider and study
the subfuzzy-structures of a such notion and homomorphisms between fuzzy hyperrings …

The various branches of Mathematics are not separated between themselves. On the
contrary, they interact and extend into each other's sometimes seemingly different and …

We introduce the notions of fuzzy hypersemigroup, fuzzy hypergroup, fuzzy hyperideal,
homomorphism, hyper congruence, fuzzy homomorphism, fuzzy hypercongruence. The …

One associates a membership function with a W-hypergroupoid and one studies this
connection in general and in some particular cases: a class of canonical hypergroups …

Corsini has defined a hyperoperation• through a fuzzy set and has shown• to be a join
hyperoperation. This hyperoperation can be generalized so that it can be defined in terms of …

In some previous papers, the second author studied the possibility to associate a sequence
of membership functions and of join spaces with a hypergroupoid H. Here we establish a …

FUZZY SETS AND NON COMPLETE 1-HYPERGROUPS Page 1 An. St. Univ. Ovidius
Constanta Vol. 13(1), 2005, 27–54 FUZZY SETS AND NON COMPLETE 1-HYPERGROUPS ∗ …