Some new fuzzy entropy formulas

被引:70
作者
Fan, JL
Ma, YL
机构
[1] Xian Inst Post & Telecommun, Dept Informat & Control, Xian 710061, Shaanxi, Peoples R China
[2] Northwestern Polytech Univ, Coll Marine Engn, Xian 710072, Peoples R China
关键词
measures of information; fuzzy entropy; sigma-fuzzy entropy; distance measure; sigma-distance measure;
D O I
10.1016/S0165-0114(01)00127-0
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
The purpose of this paper is twofold. Firstly, a general conclusion about fuzzy entropy induced by distance measure is presented based on the axiom definitions of fuzzy entropy and distance measure. Secondly, some fuzzy entropy formulas which relate to the fuzzy entropy formula defined by De Luca and Termini (Inform. Control 20 (1972) 301) are given. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:277 / 284
页数:8
相关论文
共 15 条
[1]  
[Anonymous], 1992, NEURAL NETWORKS FUZZ
[2]  
[Anonymous], 1975, INTRO THEORY FUZZY S
[3]  
[Anonymous], 1972, INFORM CONTROL
[4]   ON MEASURES OF FUZZINESS AND THEIR REPRESENTATIONS [J].
EBANKS, BR .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1983, 94 (01) :24-37
[5]   On some properties of distance measures [J].
Fan, JL ;
Ma, YL ;
Xie, WX .
FUZZY SETS AND SYSTEMS, 2001, 117 (03) :355-361
[6]   SOME PROPERTIES OF GENERALIZED EXPONENTIAL ENTROPIES WITH APPLICATIONS TO DATA-COMPRESSION [J].
KOSKI, T ;
PERSSON, LE .
INFORMATION SCIENCES, 1992, 62 (1-2) :103-132
[7]  
LIU XC, 1992, FUZZY SET SYST, V52, P305, DOI 10.1016/0165-0114(92)90239-Z
[8]   MEASURING FUZZY UNCERTAINTY [J].
PAL, NR ;
BEZDEK, JC .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 1994, 2 (02) :107-118
[9]  
Pal NR, 2000, HDB FUZZ SET SER, V7, P459
[10]   SOME NEW INFORMATION MEASURES FOR FUZZY-SETS [J].
PAL, NR .
INFORMATION SCIENCES, 1993, 67 (03) :209-228