Title of article :
System of Differential Equation with Initial Value as Triangular Intuitionistic Fuzzy Number and its Application
Author/Authors :
mondal, sankar prasad indian institute of engineering science and technology - department of mathematics, India , roy, tapan kumar indian institute of engineering science and technology - department of mathematics, India
Abstract :
In this paper, we solve a system of differential equation of first order with initial value as triangular intuitionistic fuzzy number. Two different cases are discussed: (i) coefficient is positive crisp number, (ii) coefficient is negative crisp number. Examples are given. We apply these procedures in Arm Race Model. Also we valuation, ambiguities and rank of fuzzy solution and defuzzify the solution.
Keywords :
Fuzzy sets , Fuzzy differential equation , Initial value problem , Arm race model , Valuation , ambiguity , ranking and defuzzification of fuzzy number
Journal title :
International Journal Of Applied and Computational Mathematics
Journal title :
International Journal Of Applied and Computational Mathematics
