| Rough set theory and fuzzy set theory are two important tools to analyze all kinds of data.The basic idea of rough set theory is “approximation”,and the“basic class” in the domain is the basic concept of constructing upper and lower approximation operators.Therefore,the traditional rough set constructs a clear grain structure.Intuitionistic fuzzy set is an intuitionistic extension of fuzzy set,considering both the membership degree and non-membership degree of the object belonging to the target set.Compared with the traditional fuzzy set,the model has stronger and more comprehensive ability to express information,and the intuitionistic fuzzy rough set is obtained after its fusion with the rough set.This paper mainly discusses the granular structure and application of intuitionistic fuzzy sets and their approximate operators.The main work is as follows:(1)Defines di?erent types of fuzzy particles under the fuzzy equivalence relation and similarity relation respectively,constructs the lower and upper approximation operators of intuitionistic fuzzy sets by using these particles,and gives the expressions of corresponding membership functions,and its properties are studied.(2)Based on triangle mode and implication operator,di?erent intuitionistic fuzzy particles are constructed,and then the granular structure of intuitionistic fuzzy rough approximation operator is defined,and it is proved that the intuitionistic fuzzy rough approximation operator based on fuzzy grain construction is equivalent to the intuitionistic fuzzy logic operator definition under certain conditions.(3)By using intuitionistic fuzzy distance,intuitionistic fuzzy grain is constructed,intuitionistic fuzzy rough approximate operator and information entropy under the new intuitionistic fuzzy relation are defined,and entropy reduction of intuitionistic fuzzy decision information system is explored. |
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