Calculus for linearly correlated fuzzy function using Fréchet derivative and Riemann integral
| Autor: | Laécio Carvalho de Barros, Francielle Santo Pedro, Estevão Esmi |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Information Systems and Management
05 social sciences Fréchet derivative 050301 education Riemann integral 02 engineering and technology Function (mathematics) Fuzzy logic Computer Science Applications Theoretical Computer Science Connection (mathematics) symbols.namesake Artificial Intelligence Control and Systems Engineering Fundamental theorem of calculus 0202 electrical engineering electronic engineering information engineering symbols Initial value problem Applied mathematics 020201 artificial intelligence & image processing Uniqueness 0503 education Software Mathematics |
| Zdroj: | Information Sciences. 512:219-237 |
| ISSN: | 0020-0255 |
| DOI: | 10.1016/j.ins.2019.09.078 |
| Popis: | In this manuscript we study integration and derivative theories for interactive fuzzy processes. These theories are based on the Frechet derivative and the Riemann integral. In addition, we present a connection between these two theories, i.e., some problems may be formulated in both ways. We establish the fundamental theorem of calculus, theorem of existence and the local uniqueness of the solution of fuzzy differential equations and some techniques to solve fuzzy initial value problems. To illustrate the usefulness of the developed theory, we investigate the radioactive decay model. |
| Databáze: | OpenAIRE |
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