Reducibility conditions for fuzzy differential equation

doi:10.3969/j.issn.1000-1565.2020.04.001

Abstract

Abstract: Fuzzy differential equation is an important tool for studying dynamic system in fuzzy environment. Therefore, finding the solutions to these equations is essential. In order to make more fuzzy differential equations easier to solve, variables substitution is performed in nonlinear fuzzy differential equation to judge whether the equation is reducible. In this process, we try to find out the method to reduce a nonlinear fuzzy differential equation to a linear fuzzy differential equation. In the last, the conditions of two types of fuzzy differential equations being reducible are given. Therefore, it becomes easy to distinguish reducible fuzzy differential equations and solve them. In addition, some examples are given to verify the effectiveness of the results.

Key words: fuzzy variable, fuzzy process, fuzzy integral, variables substitution, reducible fuzzy differential equation

CLC Number:

O519

JI Liye, YOU Cuilian. Reducibility conditions for fuzzy differential equation[J]. Journal of Hebei University (Natural Science Edition), 2020, 40(4): 337-343.

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