Solving First Order Linear Fuzzy Differential Equations System (original) (raw)

Soft Computing Applications, 2017

Abstract

This paper aims at solving first order linear fuzzy differential equations system by an approach called quasi-level-wise system. Some comparative examples show while some other approaches fail to obtain possible system solutions, the proposed approach is able and effective. Moreover, how the linear fuzzy differential equations system may arise in applications is explained and inverted pendulum system is given as an example. Through the example, it is also demonstrated how helpful this fuzzy linear model can be, compared to the crisp linear model.

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