Title: Solution of first order system of differential equation in fuzzy environment and its application

Authors: Sankar Prasad Mondal; Tapan Kumar Roy

Addresses: Department of Mathematics, National Institute of Technology, Agartala, Jirania - 799046,Tripura, India ' Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah-711103, West Bengal, India

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.

Keywords: fuzzy sets; fuzzy differential equation; Lanchaster combat model; removal area method for defuzzification.

DOI: 10.1504/IJFCM.2017.089437

International Journal of Fuzzy Computation and Modelling, 2017 Vol.2 No.3, pp.187 - 214

Received: 18 Apr 2015
Accepted: 07 Jul 2016
Published online: 24 Jan 2018 *

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