Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
389438 | Fuzzy Sets and Systems | 2015 | 14 Pages |
Abstract
In the paper we introduce and discuss linear and quadratic constructions of aggregation functions based on an a priori given aggregation function. We focus our attention on linear and quadratic constructions transforming any aggregation function from the considered class of aggregation functions into a new aggregation function belonging to the same class. We study quadratic constructions of distinguished classes of aggregation functions with neutral element ϵ∈{0,1}ϵ∈{0,1}, in particular, semi-copulas, quasi-copulas, copulas, triangular norms and their duals. In all cases, the final results fully characterize quadratic functions which are universal for quadratic constructions of aggregation functions of the considered type.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Anna Kolesárová, Radko Mesiar,