Universal Approximation of a Class of Interval Type-2 Fuzzy Neural Networks in Nonlinear Identification

<table class="table-group" width="800px"><tr class="fig-image" id="a"><td><img alt="136214.fig.006a" src="https://static.hindawi.com/articles/afs/volume-2013/136214/figures/136214.fig.006a.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(a) </b>Antecedent IT2MFs for fuzzy rules</td></tr></table></td></tr><tr class="fig-image" id="b"><td><img alt="136214.fig.006b" src="https://static.hindawi.com/articles/afs/volume-2013/136214/figures/136214.fig.006b.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(b) </b>Overall I/O curve for interval rules</td></tr></table></td></tr><tr class="fig-image" id="c"><td><img alt="136214.fig.006c" src="https://static.hindawi.com/articles/afs/volume-2013/136214/figures/136214.fig.006c.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(c) </b>An example of the interval type-2 fuzzy basis functions</td></tr></table></td></tr><tr class="fig-image" id="d"><td><img alt="136214.fig.006d" src="https://static.hindawi.com/articles/afs/volume-2013/136214/figures/136214.fig.006d.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(d) </b>Overall I/O curve for IT2FNN-2</td></tr></table></td></tr></table>

<table>An example of the IT2FNN-2 architecture.</table>

Advances in Fuzzy Systems

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Figure 6

Figure 6: Universal Approximation of a Class of Interval Type-2 Fuzzy Neural Networks in Nonlinear Identification 