Stability properties of aggregation functions under inversion of scales. Some characterisations

Autor: Ana Urrutia, Carmen Puerta
Rok vydání: 2019
Předmět:
Zdroj: Fuzzy Sets and Systems. 357:135-150
ISSN: 0165-0114
DOI: 10.1016/j.fss.2018.07.008
Popis: For certain purposes it would be of interest to find aggregation functions for which the aggregate value of the shortfalls coincides with the shortfall of the aggregate value of the original attainments, i.e. self-dual aggregation functions. It is crucial to know the scale type in which attainments are measured and how to reverse that scale to measure the corresponding shortfalls properly. In this paper we consider alternative definitions of shortfalls depending on the scale type and extend some characterisation results to this new framework.
Databáze: OpenAIRE