Approximation capabilities of multilayer fuzzy neural networks on the set of fuzzy-valued functions

作者：Huang Huan^*; Wu Congxin

来源：Information Sciences, 2009, 179(16): 2762-2773.

DOI：10.1016/j.ins.2009.04.004

• Neural networks
• Regular fuzzy neural networks
• Approximation
• Interpolation
• Fuzzy numbers
• d(p) Metric
• Supremum metric

This paper first introduces a piecewise linear interpolation method for fuzzy-valued functions. Based on this, we present a concrete approximation procedure to show the capability of four-layer regular fuzzy neural networks to perform approximation on the set of all d(p) continuous fuzzy-valued functions. This approach can also be used to approximate d(infinity) continuous fuzzy-valued functions. An example is given to illustrate the approximation procedure.

• 出版日期2009-7-20
• 单位集美大学