ESTIMATION OF FUZZY MEMBERSHIPS FROM HISTOGRAMS

被引：55

作者：

DEVI, BB ^{[1
]}

SARMA, VVS ^{[1
]}

机构：

[1] INDIAN INST SCI,SCH AUTOMAT,BANGALORE 560012,KARNATAKA,INDIA

来源：

INFORMATION SCIENCES | 1985年 / 35卷 / 01期

关键词：

D O I：

10.1016/0020-0255(85)90040-4

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Based on the conclusions drawn in the bijective transformation between possibility and probability, a method is proposed to estimate the fuzzy membership function for pattern recognition purposes. A rational function approximation to the probability density function is obtained from the histogram of a finite (and sometimes very small) number of samples. This function is normalized such that the highest ordinate is one. The parameters representing the rational function are used for classifying the pattern samples based on a max-min decision rule. The method is illustrated with examples.

引用

页码：43 / 59

页数：17

共 16 条

[1] ABSTRACTION AND PATTERN CLASSIFICATION [J].

BELLMAN, R ;

KALABA, R ;

ZADEH, L .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1966, 13 (01) :1-&

[2] RECENT ADVANCES IN AUTOMATIC SPEECH RECOGNITION [J].

DEMORI, R .

SIGNAL PROCESSING, 1979, 1 (02) :95-123

[3]

Devi B. B., 1980, Acoustics Letters, V4, P44

[4]

DEVI BB, 1984, PATTERN RECOGN LETT, V2, P139, DOI 10.1016/0167-8655(84)90037-0

[5] UNFAIR COINS AND NECESSITY MEASURES - TOWARDS A POSSIBILISTIC INTERPRETATION OF HISTOGRAMS [J].

DUBOIS, D ;

PRADE, H .

FUZZY SETS AND SYSTEMS, 1983, 10 (01) :15-20

[6]

Dubois D., 1980, FUZZY SET SYST

[7]

DUBOIS D, 1982, FUZZY INFORMATION DE

[8] The use of multiple measurements in taxonomic problems [J].

Fisher, RA .

ANNALS OF EUGENICS, 1936, 7 :179-188

[9]

Hersh H. M., 1979, ADV FUZZY SET THEORY

[10]

KANDEL A, 1979, ADV FUZZY SET THEORY

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