Intuitionistic Fuzzy Rough Sets Based on Two Intuitionistic Fuzzy Implicators  

作　　者：WU Wei-Zhi 

机构地区：[1]School of Mathematics, Physics and Information Science, Zhejiang Ocean University, Zhoushan, Zhejiang 316004, P. R. China

出　　处：《浙江海洋学院学报（自然科学版）》2010年第5期515-525,共11页Journal of Zhejiang Ocean University(Natural Science Edition)

基　　金：supported by grants from the National Natural Science Foundation of China(Nos.61075120, 60673096 and 60773174);the Natural Science Foundation of Zhejiang Province in China(No.Y107262).

摘　　要：This paper presents a general framework for the study of relation-based intuitionistic fuzzy rough sets determined by two intuitionistic fuzzy implicators.By employing two intuitionistic fuzzy implicators I and J,I -lower and J-upper approximations of intuitionistic fuzzy sets with respect to an intuitionistic fuzzy approximation space are first defined.Properties of(I,J) -intuitionistic fuzzy rough approximation operators are then examined.The connections between special types of intuitionistic fuzzy relations and properties of (I,J)-intuitionistic fuzzy approximation operators are also established.This paper presents a general framework for the study of relation-based intuitionistic fuzzy rough sets determined by two intuitionistic fuzzy implicators.By employing two intuitionistic fuzzy implicators I and J,I -lower and J-upper approximations of intuitionistic fuzzy sets with respect to an intuitionistic fuzzy approximation space are first defined.Properties of（I,J） -intuitionistic fuzzy rough approximation operators are then examined.The connections between special types of intuitionistic fuzzy relations and properties of （I,J）-intuitionistic fuzzy approximation operators are also established.

关 键 词：Approximation operators Intuitionistic fuzzy logical connectives Intuitionistic fuzzy rough sets Intuitionistic fuzzy sets Rough sets 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]