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International Joint Conference on Rough Sets

IJCRS 2017: Rough Sets pp 81–93Cite as

Distinguishing Vagueness from Ambiguity in Dominance-Based Rough Set Approach by Means of a Bipolar Pawlak-Brouwer-Zadeh Lattice

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 10314))

Abstract

In this paper, we present a new algebraic model for Dominance-based Rough Set Approach. Extending the Pawlak-Brouwer-Zadeh lattice introduced for indiscernibility-based rough set approach, the new model permits to distinguish between two kinds of imperfect information in case of ordered data: vagueness due to imprecision, and ambiguity due to coarseness typical to rough sets. To build the model we use the bipolar Brouwer-Zadeh lattice to represent a basic vagueness, and to introduce dominance-based rough approximations we define a new operator, called bipolar Pawlak operator. The new model we obtain in this way is called bipolar Pawlak-Brouwer-Zadeh lattice.

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Author information

Authors and Affiliations

  1. Department of Economics and Business, University of Catania, 95129, Catania, Italy

    Salvatore Greco & Benedetto Matarazzo

  2. Portsmouth Business School, Centre of Operations Research and Logistics (CORL), University of Portsmouth, Portsmouth, PO1 3DE, UK

    Salvatore Greco

  3. Institute of Computing Science, Poznań University of Technology, 60-965, Poznań, Poland

    Roman Słowiński

  4. Institute for Systems Research, Polish Academy of Sciences, 01-447, Warsaw, Poland

    Roman Słowiński

Authors
  1. Salvatore Greco
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  2. Benedetto Matarazzo
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  3. Roman Słowiński
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Corresponding author

Correspondence to Roman Słowiński .

Editor information

Editors and Affiliations

  1. Polish-Japanese Academy of Information Technology, Warsaw, Poland

    Lech Polkowski

  2. University of Regina, Regina, Saskatchewan, Canada

    Yiyu Yao

  3. University of Warmia and Mazury, Olsztyn, Poland

    Piotr Artiemjew

  4. University of Milano-Bicocca, Milano, Italy

    Davide Ciucci

  5. Southwest Jiaotong University, Chengdu, China

    Dun Liu

  6. Warsaw University, Warszawa, Poland

    Dominik Ślęzak

  7. Silesian University, Sosnowiec, Poland

    Beata Zielosko

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Greco, S., Matarazzo, B., Słowiński, R. (2017). Distinguishing Vagueness from Ambiguity in Dominance-Based Rough Set Approach by Means of a Bipolar Pawlak-Brouwer-Zadeh Lattice. In: Polkowski, L., et al. Rough Sets. IJCRS 2017. Lecture Notes in Computer Science(), vol 10314. Springer, Cham. https://doi.org/10.1007/978-3-319-60840-2_6

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  • DOI: https://doi.org/10.1007/978-3-319-60840-2_6

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-60839-6

  • Online ISBN: 978-3-319-60840-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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