Research On The Method Of Solving A Class Of Fuzzy Nonlinear Systems

Fuzzy theory of nonlinear system is widely applied in a large number of engineering systems. In order to complete the fuzzy solutions of fuzzy nonlinear systems, this investigation researches a class of fuzzy nonlinear systems by fuzzy structure element, parameters transformation method and homotopy method, and makes the proofs and experimental validations. With the limited operation, fuzzy structure element method can be used to solve power fuzzy equations, nonlinear equations with one unknown and the dual nonlinear fuzzy equations. By fuzzy membership function the fuzzy analytic expression is achieved and the accurate expression of fuzzy solutions is obtained. Respectively with the help of parameters direct transformation method and extreme value transformation method, they transform two types of general fuzzy nonlinear systems into the equivalent numerical nonlinear systems. By homotopy method can get numerical solution. Then the approximate solutions of fuzzy nonlinear systems are obtained. Full fuzzy nonlinear systems are transformed into equivalent numerical nonlinear systems in accordance with parameters transform method. Then using the homotopy method which can make equations on a larger scale convergence without the given advance appropriate initial values can obtain fuzzy solutions’interval defuzzifier, left and right fuzziness. Then one can get the approximate solutions of the systems. Fuzzy structure element, the parameters transform and homotopy method witch are researched on solving a class of nonlinear systems can enrich and perfect the existing fuzzy systems’solving researches.