In this work we study the functional equation given by the distributivity condition:[Formula:
see text] where the unknown functions F, G are uninorms and/or t-operators. We …

Nullnorms are generalization of triangular norms and triangular conorms with a zero
element in the interior of the unit interval. In this paper, we generalize nullnorms to an …

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 …

Recently the distributivity equation was investigated in families of certain operations (eg
triangular norms, conorms, uninorms and nullnorms). Generally, the assumption of …

In this paper we study binary operators on [0, 1] which are associative, monotone non-
decreasing in both variables and commutative (AMC) with neutral element. In this work, we …

Recently the distributivity equation was discussed in families of certain operations (eg
triangular norms, conorms, uninorms and nullnorms). In this paper we describe the solutions …

This paper is mainly devoted to solving the functional equation of distributivity between
aggregation operators with 2-neutral element. Our investigations are motivated by the …

This paper is mainly devoted to investigating the modularity condition for overlap and
grouping functions, which may have neither neutral elements nor associativity. At present …

The main purpose of this paper is to solve the problem proposed by Çaylı about uninorms
on bounded lattices and build close relationships among uninorms constructed in this paper …

This paper is devoted to the study of a special kind of aggregation operators: commutative,
non-decreasing binary operators F on [0, 1] with annihilator and such that and. A …