Construction of k-Lipschitz Triangular Norms and Conorms From Empirical Data

被引：4

作者：

Beliakov, Gleb ^{[1
]}

Calvo, Tomasa ^{[2
]}

机构：

[1] Deakin Univ, Sch Informat Technol, Burwood, Vic 3125, Australia

[2] Univ Alcala De Henares, Dept Ciencias Computac, Madrid 28871, Spain

来源：

IEEE TRANSACTIONS ON FUZZY SYSTEMS | 2009年 / 17卷 / 05期

关键词：

Aggregation operators; fuzzy sets; k-Lipschitz aggregation functions; triangular norms; AGGREGATION OPERATORS; APPROXIMATION;

D O I：

10.1109/TFUZZ.2009.2024412

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This paper examines the practical construction of k-Lipschitz triangular norms and conorms from empirical data. We apply a characterization of such functions based on k-convex additive generators and translate k-convexity of piecewise linear strictly decreasing functions into a simple set of linear inequalities on their coefficients. This is the basis of a simple linear spline-fitting algorithm, which guarantees k-Lipschitz property of the resulting triangular norms and conorms.

引用

页码：1217 / 1220

页数：4

共 15 条

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