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IC-Topological Spaces and Applications in Soft Computing

  • Subrata Bhowmik
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6744)

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 \(\wp\)(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.

Keywords

Topological Spaces Incomplete information system 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Subrata Bhowmik
    • 1
  1. 1.Department of MathematicsTripura UniversitySuryamaninagarIndia

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