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Vague Reliability Analysis Using Vague Differential Equations

Volume 8, Number 5, September 2012 - Paper 3 - pp. 489-496

AMIT KUMAR, and SNEH LATA

School of Mathematics and Computer Applications, Thapar University, Patiala, India

(Received on August 12, 2011, revised on May 24, 2012 and July 05, 2012)

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.

 

References: 10

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