Abstract:

In this paper, the concept of fuzzy differential equations (FDEs) is extended by vague differential equations (VDEs) and a new method to find the analytical solution of VDEs with new representation of trapezoidal vague set (TrVS), named as JMD TrVS, is proposed. To show the application of proposed method in real life problems the vague Kolmogorov's differential equations (VKDEs), obtained by using Markov model of piston manufacturing system (PMS), are solved by proposed method and with the help of obtained solution vague reliability of PMS is evaluated.