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.005a" src="https://static.hindawi.com/articles/afs/volume-2013/136214/figures/136214.fig.005a.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.005b" src="https://static.hindawi.com/articles/afs/volume-2013/136214/figures/136214.fig.005b.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(b) </b> Overall I/O curve for crisp rules</td></tr></table></td></tr><tr class="fig-image" id="c"><td><img alt="136214.fig.005c" src="https://static.hindawi.com/articles/afs/volume-2013/136214/figures/136214.fig.005c.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.005d" src="https://static.hindawi.com/articles/afs/volume-2013/136214/figures/136214.fig.005d.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(d) </b> Overall I/O curve for IT2FNN-0</td></tr></table></td></tr></table>

<table>An example of the IT2FNN-0 architecture.</table>

Advances in Fuzzy Systems

fig5

Figure 5

Figure 5: Universal Approximation of a Class of Interval Type-2 Fuzzy Neural Networks in Nonlinear Identification 