New Approach in Defining Rough Approximations

Authors:
E. K. Nagarajan;D. Umadevi
Affiliations:
Centre for Research and Post Graduate Studies in Mathematics, Ayya Nadar Janaki Ammal College (Autonomous), Sivakasi, India 626124;Centre for Research and Post Graduate Studies in Mathematics, Ayya Nadar Janaki Ammal College (Autonomous), Sivakasi, India 626124
Venue:
RSFDGrC '09 Proceedings of the 12th International Conference on Rough Sets, Fuzzy Sets, Data Mining and Granular Computing
Year:
2009

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Abstract

In this paper, we discuss some structures on the ordered set of rough approximations in a more general setting of complete atomic Boolean lattices. Further, we define an induced map from the map defined from the atoms of complete atomic Boolean lattice ($\mathcal A$(B)) to that lattice B. We also study the connections between the rough approximations x 驴 , x 驴 . defined with respect to the induced map and the rough approximations $x^\blacktriangledown, x^\blacktriangle$..defined with respect to the considered map under certain conditions on the map.