The Average Cumulative representation of fuzzy intervals is connected with the possibility theory in the sense that the possibility and necessity functions are substituted by a pair of non decreasing functions defined as the positive and negative variations in the Jordan decomposition of a membership function. In this paper we motivate the crucial role of ACF in determining the membership function from experimental data; some examples and simulations are shown to state the robustness of the proposed construction.
Maria Letizia Guerra, Laerte Sorini, Luciano Stefanini (2020). On the approximation of a membership function by empirical quantile functions. INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 124(September), 133-146 [10.1016/j.ijar.2020.06.012].
On the approximation of a membership function by empirical quantile functions
Maria Letizia Guerra
Methodology
;
2020
Abstract
The Average Cumulative representation of fuzzy intervals is connected with the possibility theory in the sense that the possibility and necessity functions are substituted by a pair of non decreasing functions defined as the positive and negative variations in the Jordan decomposition of a membership function. In this paper we motivate the crucial role of ACF in determining the membership function from experimental data; some examples and simulations are shown to state the robustness of the proposed construction.| File | Dimensione | Formato | |
|---|---|---|---|
|
GueSorStef_Special-IssueColetti2019_revised.pdf
Open Access dal 09/07/2022
Descrizione: AAM
Tipo:
Postprint
Licenza:
Licenza per Accesso Aperto. Creative Commons Attribuzione - Non commerciale - Non opere derivate (CCBYNCND)
Dimensione
2.73 MB
Formato
Adobe PDF
|
2.73 MB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
