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Antichain Based Semantics for Rough Sets

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Rough Sets and Knowledge Technology (RSKT 2015)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 9436))

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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.

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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. Department of Pure Mathematics, University of Calcutta, 9/1B, Jatin Bagchi Road, Kolkata, 700029, India

    A. Mani

Authors
  1. A. Mani
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Correspondence to A. Mani .

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Editors and Affiliations

  1. University of Milano-Bicocca, Milano, Italy

    Davide Ciucci

  2. Chongqing University of Posts and Telecommunications, Chongqing, China

    Guoyin Wang

  3. Indian Statistical Institute, Kolkata, India

    Sushmita Mitra

  4. Zhejiang Ocean University, Zhejiang, China

    Wei-Zhi Wu

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Mani, A. (2015). Antichain Based Semantics for Rough Sets. In: Ciucci, D., Wang, G., Mitra, S., Wu, WZ. (eds) Rough Sets and Knowledge Technology. RSKT 2015. Lecture Notes in Computer Science(), vol 9436. Springer, Cham. https://doi.org/10.1007/978-3-319-25754-9_30

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  • DOI: https://doi.org/10.1007/978-3-319-25754-9_30

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-25753-2

  • Online ISBN: 978-3-319-25754-9

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