Variable fuzzy sets model and demonstration of inaccuracy of extensible methods applied in water science

The relative membership functions in the theory of variable fuzzy sets and model of variable fuzzy sets are the basic models of fuzzy hydrology and water resources,and can be applied in different fields such as assessment,recognition,forecast and so on.And a corresponding case was given.The inaccuracy of the basic equations of dependent function in books and papers of extenics was proved in concise form,and the mathematic logic inaccuracy in extenics was analyzed,which showed that the extensible methods could not be applied in water science field,and so on.