| Full text | |
| Author(s): |
Total Authors: 4
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| Affiliation: | [1] Sao Paulo State Univ, Dept Math, Ave 24-A, BR-13506900 Rio Claro - Brazil
[2] Univ Estadual Campinas, Dept Appl Math, Sergio Buarque de Holanda Rua Sergio Buarque de H, BR-13083859 Campinas - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS; v. 13, n. 1, p. 1517-1529, 2020. |
| Web of Science Citations: | 0 |
| Abstract | |
This paper studies numerical solutions for fuzzy initial value problems, where the initial conditions are given by interactive fuzzy numbers. The fuzzy solution is given by a numerical method that employs the arithmetic of interactive fuzzy numbers and yields a fuzzy number at each instant of time. The computational cost of the numerical method is also provided. The chemical decay reaction model is considered in order to illustrate that different types of interactivity produce different solutions for initial value problems. In addition, we present an application to the Lotka-Volterra model of oscillating chemical reactions. (C) 2020 The Authors. Published by Atlantis Press B.V. (AU) | |
| FAPESP's process: | 16/26040-7 - Differential and integral calculus based on arithmetic of interactive fuzzy numbers |
| Grantee: | Estevão Esmi Laureano |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 18/13657-1 - Some lattice computing approaches towards computational intelligence, image processing and analysis |
| Grantee: | Peter Sussner |
| Support Opportunities: | Regular Research Grants |