In this paper, firstly, we introduce the notions of pseudo-homogeneous overlap and grouping
functions, which can be regarded as the generalizations of the concepts of homogeneous …

In this paper, firstly, we introduce the binary relation⪯ O derived from an overlap function O.
And then, we show that⪯ O does not satisfy the reflexivity, anti-symmetry and transitivity …

In this article, we first prove that the pseudo-homogeneity and quasi-homogeneity are
equivalent for overlap and grouping functions, and then give representations of a given …

Obtaining overlap/grouping functions from a given pair of overlap/grouping functions is an
important method of generating overlap/grouping functions, which can be viewed as a …

Overlap function is a special type of aggregation function which measures the degree of
overlapping between different classes. Recently, complex fuzzy sets have been successfully …

This paper investigates the pointwise comparability of overlap and grouping functions which
obtained by Bustince et al.'s and Bedregal et al.'s generator pairs, respectively. Some …