Stability properties of aggregation functions under inversion of scales. Some characterisations
Autor: | Ana Urrutia, Carmen Puerta |
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Rok vydání: | 2019 |
Předmět: |
0209 industrial biotechnology
020901 industrial engineering & automation Statistics::Applications Artificial Intelligence Logic 0202 electrical engineering electronic engineering information engineering Econometrics 020201 artificial intelligence & image processing Inversion (meteorology) 02 engineering and technology Scale type Statistics::Computation Mathematics |
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 |
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