Based on principles of fuzzy clustering analysis,the paper classifies the economy of 31 provinces of China using relation of fuzzy equivalence and F-statistical analysis.

The concept of fuzzy equality [1], which is also called the equality relation[2,3], the fuzzy equivalence relation [4], the similarity relation [5,6] and the indistinguishable operator [7,8], and the fuzzy functions based on fuzzy equalities, has a significant concern in various fields, such as category theory and fuzzy control.

By means of formulation for fuzzy addition and fuzzy equation,the production-inventory balance equations in single stage and dynamic balance equations were formulated as a soft equation in terms of a degree of truth and interpreted as the possibility level of which production and inventory plan met the fuzzy demand.