General derivation and analysis for input–output relations in interval type-2 fuzzy logic systems

Mortaza Aliasghary*, Ibrahim Eksin, Mujde Guzelkaya, Tufan Kumbasar

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8 Atıf (Scopus)

Özet

In this paper, analytical closed-form expressions are derived for the input–output relation related to an interval type-2 fuzzy logic system. It has been assumed that the related fuzzy system possesses diamond-shaped type-2 fuzzy sets for each input and singletons for output. Moreover, the Nie–Tan inference engine that provides a closed-form is preferred. The footprint of uncertainty in diamond-shaped type-2 membership functions generates four times as many regions in analytical closed-form expression as generated by standard triangular type-1 membership functions. The derived mathematical relationships provide a chance to examine the internal structure of an interval type-2 fuzzy system. These extra regions may enhance the performance of an interval type-2 fuzzy logic system over the type-1 counterpart. An important advantage of the proposed technique is that the analytical input–output relations are applicable for any number of input fuzzy sets. Analytical structures of two special cases of interval type-2 fuzzy logic systems which use different number of membership functions for each input are derived in detail.

Orijinal dilİngilizce
Sayfa (başlangıç-bitiş)1283-1293
Sayfa sayısı11
DergiSoft Computing
Hacim19
Basın numarası5
DOI'lar
Yayın durumuYayınlandı - May 2015

Bibliyografik not

Publisher Copyright:
© 2014, Springer-Verlag Berlin Heidelberg.

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