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 …

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 …

On a generalized deMorgan lattice (X,≤,∨,∧,′) we introduce a family of join
hyperoperations* p, parametrized by a parameter p ε X. As a result we obtain a family of join …

This paper deals with connections between hypergroupoids and Atanassov's intuitionistic
fuzzy sets. First a sequence of join spaces is associated with a hypergroupoid H; the length …

We introduce the concept of an interval valued (α, β)-fuzzy Hv-submodule of an Hv-module.
This concept is a generalization of a fuzzy Hv-submodule of an Hv-module. In the paper, we …

The aim of this paper is to define and study the concept of a fuzzy hyperring, which depends
on the concept of a fuzzy universal set. A correspondence relation between a fuzzy …

One has considered the Hypergroupoid ΗΓ=< H; οΓ> associated with a multivalued function
Γ from H to a set D, defined as follows:∀ x∈ H, x οΓ x=⎨ y⏐ Γ (y)∩ Γ (x)≠∅⎬,∀(y, z)∈ H2 …

small Polygroups are multi-valued systems that satisfy group-likeaxioms. Using the notion of
“belonging ($\epsilon $)” and “quasi-coincidence (q)” offuzzy points with fuzzy sets, the …

In this paper, the notion of fuzzy n-polygroups (F n-polygroups) is introduced and some
related properties are investigated. In this regards, the concepts of normal F-subpolygroups …

In this paper, we study a generalization of group, hypergroup and n-ary group. Firstly, we
define interval-valued fuzzy (anti fuzzy) n-ary sub-hypergroup with respect to a t-norm T (t …