Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4943796 | Fuzzy Sets and Systems | 2017 | 25 Pages |
Abstract
In this paper, we point out several problems in the different definitions (and related results) of penalty functions found in the literature. Then, we propose a new standard definition of penalty functions that overcomes such problems. Some results related to averaging aggregation functions, in terms of penalty functions, are presented, as the characterization of averaging aggregation functions based on penalty functions. Some examples are shown, as the penalty functions based on spread measures, which happen to be continuous. We also discuss the definition of quasi-penalty functions, in order to deal with non-monotonic (or weakly/directionally monotonic) averaging functions.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Humberto Bustince, Gleb Beliakov, Graçaliz Pereira Dimuro, BenjamÃn Bedregal, Radko Mesiar,