Solution of Fuzzy Non-Homogeneous Differential Equation under Trapezoidal Fuzzy Number
DOI:
https://doi.org/10.26713/cma.v16i4.3422Keywords:
Fuzzy differential equation, Trapezoidal fuzzy number, Support and core of fuzzy number, α-Cut Interval arithmeticAbstract
This article proposes a result for first order fuzzy non-homogeneous differential equation under trapezoidal fuzzy number as preliminary value. We have used a method of interval arithmetic on \(\alpha\)-cut interval of trapezoidal fuzzy number to obtained a general solution. We have presented a result of non-homogeneous fuzzy differential equation for four distinct circumstance of real valued functions tangled in differential equations. Also, an example of non-homogeneous first order linear fuzzy differential equation under trapezoidal fuzzy number as initial condition is being solved to verify the result at the end.
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