Quasi-homogeneity of copulas is introduced and studied. Quasi-homogeneous copulas are characterized by the convexity and strict monotonicity of their diagonal sections. As a by-product, a new construction method for copulas when only their diagonal section is known is given.
In this work, we present several ways to obtain different types of weighting triangles, due to these types characterize some interesting properties of Extended Ordered Weighted Averaging operators, EOWA, and Extended Quasi–linear Weighted Mean, EQLWM, as well as of their reverse functions. We show that any quantifier determines an EOWA operator which is… (More)
This paper deals with a class of conjunction-like binary operations defined on a finite chain. The concept of additive generator of a discrete conjunctive aggregation operation is introduced and we obtain a description of those operations having additive generator by means of non-strict Archimedean t-norms. The main goal is to give a procedure for deciding… (More)