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.
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2017, Vol. 30 
