Algebraic hyperstructures represent a natural generalization of classical algebraic
structures. In a classical algebraic structure, the composition of two elements is an element …

A fuzzy set, as a superset of a crisp set, owes its origin to the path-breaking work of Zadeh
since 1965. It was introduced to deal with the possibility of partial degrees of truth between …

In this paper, we introduce the concept of L-fuzzy hypermodules over an L-fuzzy hyperring
and investigate some of their properties. We provide the notion of L-fuzzyR …

The concepts of (∈ γ,∈ γ∨ qδ)‐fuzzy bi‐hyperideals and (∈ γ,∈ γ∨ qδ)‐fuzzy quasi‐
hyperideals of a semihyperring are introduced, and some related properties of such (∈ γ,∈ …

Cubic sets are generalized version of fuzzy sets, in which there are two representations, one
is used for the degree of membership and other is used for the degree of non-membership …

Let I be a normal hyperideal of a Krasner (m, n)-hyperring R, we define the relation≡ I by
x≡ I y if and only if f (x,-y,(m-2) 0)∩ I≠ 0, which is an equivalence relation on R. By means …

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) …

Abstract Theory of Pythagorean fuzzy sets possesses significant advantages in handling
vagueness and complex uncertainty. Additionally, Pythagorean fuzzy information is useful to …

In this paper, the authors extend the theory of groupoids already developed for semigroups
(Bin (X),□) in a growing number of research papers with X a set and Bin (X) the set of …

In this study, we define the concept of an ω-fuzzy set ω-fuzzy subring and show that the
intersection of two ω-fuzzy subrings is also an ω-fuzzy subring of a given ring. Moreover, we …