| The theory of fuzzy sets, rough set and soft set are effective tools for dealing withuncertainty problems. At the same time, granular computing has became a powerfulmethod for dealing with complex problem. In this paper, all these theories are concerned.The main contents are arranged as follows:Firstly, a new model of granulated computing based on reflective binary relation and anew covering-based model of granular computing are investigated by redefining the newZoom-in operator. Different rough approximations of the universe of discourse andgranulated universe of discourse are obtained by different combinations of Zoom-in andZoom-out operators. And their properties are discussed.Secondly, the upper and lower approximations of soft sets are redefined in reflectiveapproximation space. At the same time, we study their many algebraic properties of themin detail.Thirdly, the convergence theory of lattice-valued topology is studied, in particular, therelationships between (diagonal) filters and (diagonal) L-filters are discussed in detail. |
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