FUZZIFYING THE “PRECISE” |
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| Authors: | MILAN ZELENY |
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| Affiliation: | 1. I. Javakhishvili Tbilisi State University, Department of Applied Mathematics and Computer Sciences , 2, University Street, Tbilisi, 0143, Georgia sirbiladze_g@hotmail.com |
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| Abstract: | 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. |
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| Keywords: | Identification of the EFDS model Solution regularization principles Space of extended compositional extremal fuzzy measures Extremal fuzzy binary relations EFDS “input–output” operator |
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