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Solution of first order system of differential equation in fuzzy environment and its application
by Sankar Prasad Mondal; Tapan Kumar Roy
International Journal of Fuzzy Computation and Modelling (IJFCM), Vol. 2, No. 3, 2017

 

Abstract: In this paper, we solve a system of differential equation of first order in fuzzy environment using generalised Hukuhara derivative approach. Four different cases are discussed for the said differential equation: 1) coefficient is positive crisp number and initial condition is fuzzy number; 2) coefficient is negative crisp number and initial condition is fuzzy number; 3) coefficient is fuzzy number and initial condition is fuzzy number; 4) coefficient is interval number and initial condition is fuzzy number. Finally, we apply the results in Lanchaster combat model. The solution that comes in the application are defuzzified by removal area method.

Online publication date: Tue, 16-Jan-2018

 

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