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On Fuzzy Sets and Rough Sets from the Perspective of Indiscernibility

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Logic and Its Applications (ICLA 2011)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6521))

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Abstract

The category theoretic approach of Obtułowicz to Pawlak’s rough sets has been reintroduced in a somewhat modified form. A generalization is rendered to this approach that has been motivated by the notion of rough membership function. Thus, a link is established between rough sets and L-fuzzy sets for some special lattices. It is shown that a notion of indistinguishability lies at the root of vagueness. This observation in turn gives a common ground to the theories of rough sets and fuzzy sets.

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Author information

Authors and Affiliations

  1. Center for Cognitive Science, Jadavpur University, Kolkata, 700032, India

    Mihir K. Chakraborty

  2. Indian Statistical Institute, Kolkata, India

    Mihir K. Chakraborty

Authors
  1. Mihir K. Chakraborty
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Editors and Affiliations

  1. Department of Mathematics and Statistics, Indian Institute of Technology, 208016, Kanpur, India

    Mohua Banerjee

  2. Department of Computer Science and Engineering, Indian Institute of Technology Kanpur, 208016, Kanpur, India

    Anil Seth

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Chakraborty, M.K. (2011). On Fuzzy Sets and Rough Sets from the Perspective of Indiscernibility. In: Banerjee, M., Seth, A. (eds) Logic and Its Applications. ICLA 2011. Lecture Notes in Computer Science(), vol 6521. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18026-2_4

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  • DOI: https://doi.org/10.1007/978-3-642-18026-2_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-18025-5

  • Online ISBN: 978-3-642-18026-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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