Fuzzy Entropy of Fuzzy Partition on a Finite Interval

被引:0
作者
Qing, Ming [1 ]
机构
[1] Southwest Jiaotong Univ, Sch Math, Chengdu 610031, Peoples R China
来源
2013 SIXTH INTERNATIONAL SYMPOSIUM ON COMPUTATIONAL INTELLIGENCE AND DESIGN (ISCID), VOL 2 | 2013年
关键词
fuzzy entropy; membership function; entropy function; fuzzy partition; fuzzy system; MEMBERSHIP; MODELS;
D O I
10.1109/ISCID.2013.120
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this paper, fuzzy entropy for a fuzzy partition on a finite interval is defined. Fuzzy entropy for a fuzzy partition comprehensively reflects fuzzy degree of a fuzzy partition. Then, some computation formulae of fuzzy entropy for a fuzzy partition are presented. These results will contribute to the analysis and design of fuzzy systems in that how to measure the fuzzy entropy of a fuzzy partition is an important foundation to construct fuzzy entropy for a fuzzy system to reflect fuzzy degree of a fuzzy system which is commonly made up of several fuzzy partitions on different universes of the discourse.
引用
收藏
页码:20 / 23
页数:4
相关论文
共 18 条
[1]   Rule-base self-generation and simplification for data-driven fuzzy models [J].
Chen, MY ;
Linkens, DA .
FUZZY SETS AND SYSTEMS, 2004, 142 (02) :243-265
[2]   Fuzzy entropy management via scaling, elevation and saturation [J].
Chen, YH ;
Wang, WJ .
FUZZY SETS AND SYSTEMS, 1998, 95 (02) :173-178
[3]   DEFINITION OF NONPROBABILISTIC ENTROPY IN SETTING OF FUZZY SETS THEORY [J].
DELUCA, A ;
TERMINI, S .
INFORMATION AND CONTROL, 1972, 20 (04) :301-&
[4]   FUZZY PARTITIONS WITH THE CONNECTIVES T-INFINITY, S-INFINITY [J].
DUMITRESCU, D .
FUZZY SETS AND SYSTEMS, 1992, 47 (02) :193-195
[5]   FUZZY MEASURES AND THE ENTROPY OF FUZZY PARTITIONS [J].
DUMITRESCU, D .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1993, 176 (02) :359-373
[6]  
Fan J.L., 1999, THEORY FUZZY ENTROPY
[7]   Interpretability of linguistic fuzzy rule-based systems: An overview of interpretability measures [J].
Gacto, M. J. ;
Alcala, R. ;
Herrera, F. .
INFORMATION SCIENCES, 2011, 181 (20) :4340-4360
[8]  
Guillaume Serge, 2012, INFORM SCI IN PRESS
[9]   Efficient search for fuzzy models using genetic algorithm [J].
Matsushita, S ;
Furuhashi, T ;
Tsutsui, H ;
Uchikawa, Y .
INFORMATION SCIENCES, 1998, 110 (1-2) :41-50
[10]   Entropy of fuzzy partitions: A general model [J].
Mesiar, R ;
Rybarik, J .
FUZZY SETS AND SYSTEMS, 1998, 99 (01) :73-79