On the approximation of a membership function by empirical quantile functions

被引：6

作者：

Guerra, Maria Letizia ^{[1
]}

Sorini, Laerte ^{[2
]}

Stefanini, Luciano ^{[2
]}

机构：

[1] Univ Bologna, Dept Stat Sci Paolo Fortunati, Bologna, Italy

[2] Univ Urbino Carlo Bo, Dept Econ, Soc, Polit, Urbino, Italy

来源：

INTERNATIONAL JOURNAL OF APPROXIMATE REASONING | 2020年 / 124卷

关键词：

Possibility distribution; Fuzzy intervals; Quantiles; Average Cumulative Function (ACF); FUZZY-SETS; FAMILY;

D O I：

10.1016/j.ijar.2020.06.012

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

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. (C) 2020 Elsevier Inc. All rights reserved.

引用

页码：133 / 146

页数：14

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