Generalized rough sets and implication lattices

Authors:
Pulak Samanta;Mihir Kumar Chakraborty
Affiliations:
Department of Mathematics, Katwa College, Katwa, Burdwan, West Bengal, India;Honorary Visiting Professor, Center for Soft Computing Research, Indian Statistical Institute, Kolkata, India & UGC Visiting Professor, Centre for Cognitive Science Jadavpur University, Kolkat ...
Venue:
Transactions on rough sets XIV
Year:
2011

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Abstract

This paper consists of an extensive survey of various generalized approaches to the lower and upper approximations of a set, the two approximations being first defined by Pawlak while introducing rough set theory. Particularly, relational, covering based and operator based approaches are considered. Categorization of various approaches in terms of implication lattices is shown. Significance of this categorization in rough logics is briefly mentioned.