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Antichain Based Semantics for Rough Sets

Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9436)

Abstract

The idea of using antichains of rough objects was suggested by the present author in her earlier papers. In this research basic aspects of such semantics are considered over general rough sets and general approximation spaces over quasi-equivalence relations. Most of the considerations are restricted to semantics associated with maximal antichains and their meaning. It is shown that even when the approximation operators are poorly behaved, some semantics with good structure and computational potential can be salvaged.

Keywords

Rough objects Granular operator spaces Maximal antichains Antichains Quasi equivalences Axiomatic approach to granules Granular rough semantics 

Notes

Acknowledgement

The present author would like to thank the anonymous referees for useful remarks that led to improvement of the presentation of the paper.

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Authors and Affiliations

  1. 1.Department of Pure MathematicsUniversity of CalcuttaKolkataIndia

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