Fuzzy model tuning using simulated annealing

Yanar T. A., AKYÜREK S. Z.

EXPERT SYSTEMS WITH APPLICATIONS, cilt.38, sa.7, ss.8159-8169, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 38 Sayı: 7
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1016/j.eswa.2010.12.159
  • Dergi Adı: EXPERT SYSTEMS WITH APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.8159-8169
  • Anahtar Kelimeler: Simulated annealing, Optimization, Fuzzy model tuning, Mamdani fuzzy model, Fuzzy model extraction, GLOBAL OPTIMIZATION METHODS, TRAVELING SALESMAN PROBLEM, SYSTEMS, COMPLEXITY, BASE, CLASSIFICATION, ALGORITHMS, RULES
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

This paper presents the use of simulated annealing metaheuristic for tuning Mamdani type fuzzy models. Structure of the Mamdani fuzzy model is learned from input-output data pairs using Wang and Mendel's method and fuzzy c-means clustering algorithm. Then, parameters of the fuzzy system are tuned through simulated annealing. In this paper, we perform experiments to examine effects of (a) initial solution generated by Wang and Mendel's method and fuzzy c-means clustering method, (b) membership function update procedure, (c) probability parameter for the calculation of the initial temperature, (d) temperature update coefficient used for cooling schedule, and (e) randomness level in the disturbance mechanism used in simulated annealing algorithm on the tuning of Mamdani type fuzzy models. Experiments are performed with Mackey-Glass chaotic time series. The results indicate that Wang and Mendel's method provides better starting configuration for simulated annealing compared to fuzzy c-means clustering method, and for the membership function update parameter, MFChangeRate is an element of (0,1], and the probability parameter for the calculation of the initial temperature, P(0) is an element of (0, 1), values close to zero produced better results. (C) 2011 Elsevier Ltd. All rights reserved.