title: The solution of fully fuzzy quadratic equation based on optimization theory.
abstract: 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(X)=D, where F(X)-AX2+BX+C. 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.
authors.affiliation: Department of Mathematics, Islamic Azad University, Science and Research Branch, Tehran, Iran.
authors.forename: T
authors.initials: T
authors.lastname: Allahviranloo
authors.affiliation: Department of Mathematics, Islamic Azad University, Science and Research Branch, Tehran, Iran.
authors.forename: L
authors.initials: L
authors.lastname: Gerami Moazam
mesh_terms: D000465:Algorithms; D017143:Fuzzy Logic; D008432:Mathematical Computing