APPLICATION OF FIRST ORDER NON-HOMOGENEOUS FUZZY DIFFERENTIAL EQUATION
In this paper, we discuss the application of first order non-homogeneous fuzzy differential equation (FDE). The FDEs are solved by two well known methods. Three models: weight model, Newton’s law of cooling model and an economic model are discussed in fuzzy environment. All fuzzy numbers are taken as generalized trapezoidal fuzzy numbers (GTrFN). The solution procedure is discussed for different types of GTrFN. Also the fuzzy solutions are defuzzified by a well known defuzzification method.
fuzzy set, generalized trapezoidal fuzzy number, fuzzy differential equation, defuzzification method.