Numerical solution of linear inhomogeneous fuzzy delay differential equations

We investigate inhomogeneous fuzzy delay differential equation (FDDE) in which initial function and source function are fuzzy. We assume these functions be in a special form, which we call triangular fuzzy function. We define solution as a fuzzy bunch of real functions such that each real function s...

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Bibliographic Details
Published in:Fuzzy optimization and decision making 2019-09, Vol.18 (3), p.315-326
Main Authors: Fatullayev, A. G., Gasilov, Nizami A., Emrah Amrahov, Şahin
Format: Article
Language:English
Subjects:
Algorithms
Artificial Intelligence
Calculus of Variations and Optimal Control
Optimization
Delay
Differential equations
Fuzzy sets
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Operations Research/Decision Theory
Optimization
Ordinary differential equations
Probability Theory and Stochastic Processes
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Summary:We investigate inhomogeneous fuzzy delay differential equation (FDDE) in which initial function and source function are fuzzy. We assume these functions be in a special form, which we call triangular fuzzy function. We define solution as a fuzzy bunch of real functions such that each real function satisfies the equation with certain membership degree. We develop an algorithm to find the solution, and we provide the existence and uniqueness results for the considered FDDE. We also present an example to show the applicability of the proposed algorithm.
ISSN:1568-4539
1573-2908
DOI:10.1007/s10700-018-9296-1