The Solution of Fully Fuzzy Quadratic Equation Based on Optimization Theory

Abstract EN

Firstly in this paper we introduce a new concept of the 2nd power of a fuzzy number.

It is exponent to production (EP) method that provides an analytical and approximate solution for fully fuzzy quadratic equation (FFQE) : F(X̃)=D̃, where F(X̃)=ÃX̃2+B̃X̃+C̃.

To use the mentioned EP method, at first the 1-cut solution of FFQE as a real root is obtained and then unknown manipulated unsymmetrical spreads are allocated to the core point.

To this purpose we find λ and μ as optimum values which construct the best spreads.

Finally to illustrate easy application and rich behavior of EP method, several examples are given.