Variable Precision Intuitionistic Fuzzy Rough Set Based on θ Operator
XUE Zhan′ao, YUAN Yilin, XIN Xianwei, HAN Danjie
College of Computer and Information Engineering, Henan Normal University, Xinxiang 453007 Engineering Laboratory of Intelligence Business and Internet Things Technologies, Henan Normal University, Xinxiang 453007
Abstract In the fuzzy approximation space, combing the membership degree and non membership degree of the intuitionistic fuzzy sets with fuzzy implication operator, the concept of intuitionistic fuzzy and its membership degree and non membership degree based on θ operator and θ* operator are presented and their properties are proved. Then, integrating the intuitionistic fuzzy set and the variable precision rough set, a variable precision intuitionistic fuzzy rough set is defined based on θ operator.A method to solve the threshold parameter β of variable precision rough set is put forward. Finally, an example for analyzing the method is provided.
About author:: (XUE Zhan′ao(Corresponding author), born in 1963, Ph.D., professor. His research interests include basic theory of artificial intelligence and rough sets.) (YUAN Yilin, born in 1991, master student. Her research interests include rough sets theory and intuitionistic fuzzy sets.) (XIN Xianwei, born in 1991, master student. His research interests include intuitionistic fuzzy sets, rough sets and decision theory.) (HAN Danjie, born in 1992, master student. Her research interests include basic theory of artificial intelligence and rough sets.)
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2017, Vol. 30 
