Research On Fuzzy Linear Regression Model Based On The Structure Element Theory

For the parameter estimation is complex and the poor operability of fuzzy regression analysis,we use to the principles of Structure Element,who's fuzzy numbers expressed on the structure element in the model. the fuzzy number arithmetic converted into a monotonic function, first we introduced two fuzzy numbers inner product,use inner product distance of the fuzzy numbers,fuzzy number weighted distance. Then we discuss two fuzzy regression model use the fuzzy numbers weighted distance discuss.a discuss the fuzzy input model.b discuss the fuzzy output model. Examples show the effectiveness and convenience of the method.