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Quasi-Boolean Based Models in Rough Set Theory: A Case of Covering

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Logic and Its Applications (ICLA 2023)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 13963))

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Abstract

Rough set theory has already been algebraically investigated for decades and quasi-Boolean algebra has formed a basis for several structures related to rough sets. An initiative has been taken in the paper [17] to obtain rough set models for some of these structures. These models have been constructed by defining a g-approximation space \(\langle U, R^{g}\rangle \) out of a generalised approximation space \(\langle U, R\rangle \) and an involution g. In this paper, as a continuation of [17], we have thrown light on covering cases and constructed a set model for the algebra IqBa2 [17].

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Acknowledgement

The author would like to thank Professor Mihir Kumar Chakraborty for checking the article and providing valuable suggestions that helped to improve the article substantially.

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Authors and Affiliations

  1. Department of Mathematics, City College, Kolkata, 700009, West Bengal, India

    Masiur Rahaman Sardar

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  1. Masiur Rahaman Sardar
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Correspondence to Masiur Rahaman Sardar .

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  1. Indian Institute of Technology Kanpur, Kanpur, India

    Mohua Banerjee

  2. Indian Institute of Technology Goa, Ponda, India

    A. V. Sreejith

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Sardar, M.R. (2023). Quasi-Boolean Based Models in Rough Set Theory: A Case of Covering. In: Banerjee, M., Sreejith, A.V. (eds) Logic and Its Applications. ICLA 2023. Lecture Notes in Computer Science, vol 13963. Springer, Cham. https://doi.org/10.1007/978-3-031-26689-8_12

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  • DOI: https://doi.org/10.1007/978-3-031-26689-8_12

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  • Online ISBN: 978-3-031-26689-8

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