A New Method For Solving Nonlinear Interval And Fuzzy Equations

In this paper, a new concept called "interval extended zero" method which recently was used for solving interval and fuzzy linear equations is adapted to the solution of nonlinear interval and fuzzy equations. The known "test" example of quadratic fuzzy equation is used to perform the advantages of a new method. In this example, only the positive solution can be obtained using known methods, whereas generally a negative fuzzy root can exits too. The sources of this problem are clarified. It is shown that opposite to the known methods, a new approach makes it possible to get both the positive and negative solutions of quadratic fuzzy equation. Generally, the developed method can be applied for solving a wide range of nonlinear interval and fuzzy equations if some initial constraints on the bounds of solution are known.