Comparison and sequencing of fuzzy numbers based on the method of structured element

By using the homeomorphic property between fuzzy number space and the family of standard monotone functions on[-1,1],we can transform comparison of fuzzy numbers into comparison of standard monotone functions on[-1,1].For this reason,this paper defined some order relations on the fuzzy number space by using the method of fuzzy structured element,and some properties of the order relations is discussed.It is special easy to operate what order relation of by fuzzy structured element expression.