Abstract：In this paper, the structured element theory is introduced into the fuzzy multi-attribute decision making. The fuzzy number space and the family of standard bounded monotone functions have the homeomorphic property. Based on this feature, complex operations of fuzzy numbers are put into monotone functions with the same monotonic format. The order relation of monotone functions is used to describe that of fuzzy numbers. The aim is to simplify the complex operations of the traditional fuzzy decision making. The classic ELECTRE method is extended into the fuzzy environment and is combined with the fuzzy structured element. The fuzzy multi-attribute decision making problem is thus solved. It overcomes some shortcomings. For example, the classic ELECTRE method is diffcult to rank fuzzy numbers and has to be turned into a deterministic system. This new method is based on the fuzzy structured element, is simple to operate and easy to understand. It can be used for further study of fuzzy multi-attribute group decision making. An example shows the effectiveness and feasibility of this method.