AN ESTIMATION METHOD OF MEMBERSHIP FUNCTION FOR GIVEN FUZZY DATA
SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI, vol.8, no.1, pp.11-18, 2017 (ESCI)
- Publication Type: Article / Article
- Volume: 8 Issue: 1
- Publication Date: 2017
- Journal Name: SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI
- Journal Indexes: Emerging Sources Citation Index (ESCI)
- Page Numbers: pp.11-18
- Keywords: Fuzzy set, membership function, generalized entropy optimization methods, fuzzy entropy, ENTROPY OPTIMIZATION PROBLEMS
- Anadolu University Affiliated: Yes
Abstract
In the present study for given fuzzy data an estimation method based on Max(F)Ent measure and generalized entropy optimization methods is suggested. A set of successive values of estimated membership function is defined as distribution which is closest to appropriate membership function and distribution which is furthest from mentioned membership function. In this study, fuzzy data analysis is fulfilled by applying GMax(F)EntM for fuzzy data. The performances of distributions (MinMaxEnt)(m) and (MaxMaxEnt)(m) are established by Chi-Square, Root Mean Square criterias and Max(F)Ent measure. It should be noted that the results are obtained by using MATLAB. It should be noted that the results are obtained by using MATLAB.