A New Fuzzy Set Theory Satisfying All Classical Set Formulas

A new fuzzy set theory,C-fuzzy set theory,is introduced in this paper.It is a particular case of the classical set theory and satisfies all formulas of the classical set theory.To add a limitation to C-fuzzy set system,in which all fuzzy sets must be"non-uniform inclusive"to each other,then it forms a family of sub-systems,the Z-fuzzy set family.It can be proved that the Zo-fuzzy set system,one of Z-fuzzy set systems,is equivalent to Zadeh's fuzzy set system.Analysis shows that 1) Zadeh's fuzzy set system d...