Intuitionistic fuzzy rough sets models based on dual triangular norms
Wei Guo Zhao · Journal of Lanzhou University · 2011
Since intuitionistic fuzzy sets could provide the information on the membership degree and the nonmembership degree, it should have better expression and flexibility than traditional fuzzy sets in processing uncertain information data. Note that the operations of the membership degree and the non-membership degree could be expressed as a couple of dual triangular norms in the arithmetic operations of intuitionistic fuzzy sets. The intuitionistic fuzzy rough sets models were investigated based on the dual triangular norms in this paper. The dual triangular norms and its residual implications were discussed and represented. The TS membership degree and TS non-membership degree of intuitionistic fuzzy sets based on dual triangular norms were defined and characterized. Intuitionistic fuzzy rough sets models based in dual triangular norms were defined and studied.