• ON SOME NANO APPROXIMATION OPERATORS

M. BHUVANESWARI*, N. NAGAVENI

Abstract


The object of this study is to introduce Nano approximation operators called Nano Lower and Nano Upper approximations in Nano topologized approximation space which is a generalization of Pawlak approximation space. Nano open sets and Nano-closed sets are used to construct Nano approximation operators. Some of the properties of Nano approximation operators are discussed. Further Nwg- Lower and Nwg-upper approximations are defined using Nwg-open sets and Nwg-closed sets. Also Nano and Nwg-accuracy measures are defined and observed that the degree of exactness of a set using Nwg lower and upper approximation is better than the other accuracy measures.


Keywords


Nano topological space, Nwg-closed set, rough set, Approximation space, topologized approximation space, Nwg approximation operator.

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