Rough Vague Sets Based on General Binary Relation and Its Method of Similarity Measures

Abstract

This paper introduces the approximate problem of the common relation Vague sets. Based on our previously study and analysis the connection among the classical rough sets theory, fuzzy sets theory and vague sets theory, we canonically discuss the conception and correlative properties of rough vague sets under the common relationship and also present the measurement method in measuring the similarity of two rough vague sets. This possesses certain significance in further research of the rough vague set.