A Method of Computing Functions of Trapezoidal Fuzzy Variable and Its Application to Fuzzy Calculus

Muhammad Zaini Ahmad, Mohammad Khatim Hasan


This paper introduces a method of computing functions of trapezoidal fuzzy variable. The method is based on the implementation of an unconstrained optimisation technique over the α -cut of fuzzy interval. To show the effectiveness of the proposed method, we provide several numerical examples in computing the solutions of linear and non-linear fuzzy differential equations. The final results showed that the proposed method is capable to generate convex fuzzy solutions on time domain.


fuzzy differential equations; trapezoidal fuzzy interval; unconstrained optimisation;

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