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.

On the approximation of a membership function by empirical quantile functions / Maria Letizia Guerra; Laerte Sorini; Luciano Stefanini. - In: INTERNATIONAL JOURNAL OF APPROXIMATE REASONING. - ISSN 0888-613X. - STAMPA. - 124:September(2020), pp. 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.
2020
On the approximation of a membership function by empirical quantile functions / Maria Letizia Guerra; Laerte Sorini; Luciano Stefanini. - In: INTERNATIONAL JOURNAL OF APPROXIMATE REASONING. - ISSN 0888-613X. - STAMPA. - 124:September(2020), pp. 133-146. [10.1016/j.ijar.2020.06.012]
Maria Letizia Guerra; Laerte Sorini; Luciano Stefanini
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/765625
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