Higher Order Initial Value Problem with Interactive Fuzzy Conditions

Author(s)

Wasques, Vinicius Francisco ; Laureano, Estevao Esmi ; de Barros, Laecio Carvalho ; Pedro, Francielle Santo ; Sussner, Peter ; IEEE

• Document type: Journal article
• Source: 2018 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE); v. N/A, p. 8-pg., 2018-01-01.

Abstract

In this manuscript we deal with non-homogeneous n-th order linear differential equations that have fuzzy initial conditions. We assume that the initial conditions are given by fuzzy numbers that satisfying a special type of relationship namely interactivity. In particular, we assume that the initial conditions are completely correlated fuzzy numbers. Based on this notion, we obtain solutions for linear fuzzy initial value problems by means of the extension principle. Finally, we show that endpoints of each alpha-level of the proposed solution can be determined by solving two associated classical initial value problems. (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