AN ESTIMATION METHOD OF MEMBERSHIP FUNCTION FOR GIVEN FUZZY DATA

Samilov A., Senturk S., İNCE N.

SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI, cilt.8, sa.1, ss.11-18, 2017 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 8 Sayı: 1
  • Basım Tarihi: 2017
  • Dergi Adı: SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.11-18
  • Anahtar Kelimeler: Fuzzy set, membership function, generalized entropy optimization methods, fuzzy entropy, ENTROPY OPTIMIZATION PROBLEMS
  • Anadolu Üniversitesi Adresli: Evet

Özet

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.