Sufficient Conditions of Cut Sets on Intuitionistic Fuzzy Sets

In this paper, a monomorphism is established from the three-valued fuzzy sets to intuitionistic fuzzy sets, and with this monomorphism, the three-valued fuzzy sets can be embedded in intuitionistic fuzzy sets. Then the general definition of the cut sets on the intuitionistic fuzzy sets is proposed. Finally, the axiomatic descriptions for different cut sets are presented and three most intrinsic properties for each cut sets are listed.