| Article ID: | iaor20112140 |
| Volume: | 61 |
| Issue: | 2 |
| Start Page Number: | 412 |
| End Page Number: | 420 |
| Publication Date: | Jan 2011 |
| Journal: | Computers and Mathematics with Applications |
| Authors: | Chalco-Cano Y, Bez-Snchez A D, Romn-Flores H, Rojas-Medar M A |
| Keywords: | approximation |
This paper suggests an approximation for a compact fuzzy set by a sequence of Lipschitz fuzzy sets. This approximation method involves the construction of Lipschitz fuzzy sets using the sup–min convolution of a compact fuzzy set with a fuzzy zero. Considering a similar procedure, we present the approximation of a trapezoidal type fuzzy interval by a sequence of differentiable fuzzy intervals. We show some important properties of both approximations and we give some numerical examples illustrating the results.