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Generalized two-direction variable \(s\)-rough sets model of variable precision. (Chinese. English summary) Zbl 1199.68401
Summary: Based on two-direction \(s\)-rough sets and generalized relations of \(s\)-rough sets, this paper presents a research report on the concept of generalized two-direction variable \(s\)-rough sets of variable precision. A majority inclusion relation on generalized two-direction \(s\)-rough sets is defined and a generalized two-direction \(s\)-rough sets model is given by means of the error parameter \(\alpha\), \(\alpha \in [0, 0.5)\) proposed in this paper. With the use of a specific example, this paper analyzes and validates the variable relationship and the trend among upper approximation, lower approximation, approximation boundary and classification approximation precision, which are caused by the variation of the two-direction dynamic migratory nature of attribute sets and variable precision parameter. It is held that the model provides a new way and method for the research of dynamical approximations of general system.
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