Modeling of extremal fuzzy dynamic systems Part Ⅳ. Identification of fuzzy-integral models of extremal fuzzy processes

摘要

Based on the fuzzy-integral model, methods and algorithms are developed for identifying the "input-output" operator of continuous and stationary discrete extremal fuzzy dynamic systems (EFDS). The EFDS "input-output" operator is restored by means of experimental data with possibilistic uncertainty, the source of which is extremal fuzzy time intervals. The regularization conditions for obtaining quasi-optimal estimates are substantiated by the proved theorems. The corresponding algorithms are provided. The results obtained are illustrated by examples in the case of a finite set of EFDS states.