IC-topological spaces and applications in soft computing

Authors:
Subrata Bhowmik
Affiliations:
Department of Mathematics, Tripura University, Suryamaninagar, Tripura, India
Venue:
PReMI'11 Proceedings of the 4th international conference on Pattern recognition and machine intelligence
Year:
2011

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Abstract

The objective of this paper is to generalize the concept of topological space so that concepts of approximation spaces like Rough set, Pre-topological space, Approximation spaces generated by arbitrary relation etc. including topological space can be study by a single space. Here we considered a non-empty set X with two unary operators i and c on the power set (X) called respectively the interior and closure operators with some conditions on the operators. We will call the order triplet (X, i, c) an Interior-Closure Topological space or Simply IC-Topological space. In this paper we will discuss some applications of such spaces in real life problems.