Differentiations in Hierarchical Fuzzy Systems


MUTLU B., SEZER E.

6th World Conference on Soft Computing, California, Amerika Birleşik Devletleri, 22 - 25 Mayıs 2016, cilt.361, ss.361-379 identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 361
  • Doi Numarası: 10.1007/978-3-319-75408-6_28
  • Basıldığı Şehir: California
  • Basıldığı Ülke: Amerika Birleşik Devletleri
  • Sayfa Sayıları: ss.361-379
  • Gazi Üniversitesi Adresli: Evet

Özet

Hierarchical fuzzy systems are one of the most popular solutions for the curse of dimensionality problem occurred in complex fuzzy rule based systems with a large number of input parameters. Nevertheless these systems have a hidden inaccuracy and instability problem. In detail, the outputs of hierarchical systems, based on Mamdani style inference, differ from the outputs of equivalent single system. Moreover they are not stable in any variation of system modeling even if the rules and membership functions do not expose any differentiation. This paper revisits inaccuracy and instability problems of hierarchical fuzzy inference systems. It investigates the differentiation in systems' behaviors against the variations in system modeling, and provides a pattern to identify the magnitude of this differentiation.