This paper wants to be a compilation of the different existing classes of uninorms. From their
introduction, uninorms have been extensively studied not only as aggregation operators but …

The migrativity of aggregation functions is an interesting property from both theoretic and
applied points of view in fuzzy set theory, and many profound results on the migrative …

Since Aczél studied the distributive law between two operations, the distributive laws among
different binary aggregation functions become an interesting and vast research field. This …

The distributivity equations between different binary aggregation functions have become an
interesting and vast research field since Aczél studied them. This paper is mainly devoted to …

Overlap functions, as a new special class of binary aggregation functions, have been
investigated in many recent works for applications in image processing, classification …

In this paper, we investigate the migrativity of uninorms and nullnorms over any fixed overlap
function or grou** function. First, we introduce the concept of (α, O)-migrative uninorms …

In this work, we discuss the law of α-migrativity as applied to fuzzy implication functions in a
meaningful way. A generalisation of this law leads us to Pexider-type functional equations …

As a weaker form of the classical commuting equation, α-cross-migrativity properties
between conjunctive connectives including t-norms, uninorms, and overlap functions have …

Overlap and grou** functions, as two new classes of special binary aggregation functions,
have been investigated by several authors for applications in image processing, decision …

This article focuses on the α-migrativity of 2-uninorms with α∈[0, 1]. It characterizes the α-
migrativity for 2-uninorms with α∈[0, 1], which generalizes and unifies the characterizations …