Fitting fuzzy measures by linear programming. Programming library fmtools

被引:6
作者
Beliakov, Gleb [1 ]
机构
[1] Deakin Univ, Sch Informat Technol & Engn, Burwood 3125, Australia
来源
2008 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS, VOLS 1-5 | 2008年
关键词
D O I
10.1109/FUZZY.2008.4630471
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
We discuss the problem of learning fuzzy measures from empirical data. Values of the discrete Choquet integral are fitted to the data in the least absolute deviation sense. This problem is solved by linear programming techniques. We consider the cases when the data are given on the numerical and interval scales. An open source programming library which facilitates calculations involving fuzzy measures and their learning from data is presented.
引用
收藏
页码:862 / 867
页数:6
相关论文
共 27 条
[1]  
[Anonymous], 2002, AGGREGATION OPERATOR, DOI DOI 10.1007/978-3-7908-1787-4
[2]  
[Anonymous], 2007, WEB INTELLIGENCE COM
[3]  
[Anonymous], 2000, FUZZY MEASURES INTEG
[4]   Fitting generated aggregation operators to empirical data [J].
Beliakov, G ;
Mesiar, R ;
Valaskova, L .
INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 2004, 12 (02) :219-236
[5]   How to build aggregation operators from data [J].
Beliakov, G .
INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, 2003, 18 (08) :903-923
[6]   Monotone approximation of aggregation operators using least squares splines [J].
Beliakov, G .
INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 2002, 10 (06) :659-676
[7]  
BELIAKOV G, 2007, FMTOOLS PACKAGE VERS
[8]  
BELIAKOV G, 2007, FUZZY SETS THEIR EXT
[9]  
Beliakov G., 2007, Aggregation Functions: A Guide for Practitioners
[10]  
Cottle R, 1992, The Linear Complementarity Problem