Transformation Group of Monotone Functions with Same Monotonic Formal on [-1,1] and Operations of Fuzzy Numbers

The operation of fuzzy numbers is a main substance of the fuzzy mathematical analysis. In this paper , we defined order-preserving transform of bounded monotone functions on the symmetric interval [-1,1], and apply the methods of fuzzy structured element, the expression forms and correspondent membership of the four fundamental operations of fuzzy numbers base on the fuzzy structured element is obtained. The fuzzy structured element method can make further simple and easy to the operations of fuzzy numbers.