Basic properties of fuzzy approximation operators under consistent functions

With the development of science and technology, fuzzy approximation operators are more and more widely applied in the field of artificial intelligence such as machine learning, information exchange and relational database. This paper investigates some basic properties of the fuzzy approximation operators based on the concept of consistent function. First, we propose the concept of consistent function and study some of its simple properties. Then, some basic properties of fuzzy approximation operators under the consistent function are studied.