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Characterization of rough semiring

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Abstract

In this paper, we give a characterization of the rough semiring \((T,\Delta ,\nabla )\). The order of a rough semiring is also derived. We present the idea of rough homomorphism on the set of all rough sets for the given information system together with the operations Praba \(\Delta \) and Praba \(\nabla \). We illustrate these concepts through examples.

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Authors and Affiliations

  1. School of Advanced Sciences, VIT University, Vellore, 632014, India

    A. Manimaran & V. M. Chandrasekaran

  2. SSN College of Engineering, Kalavakkam, Chennai, 603110, India

    B. Praba

Authors
  1. A. Manimaran
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  2. B. Praba
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  3. V. M. Chandrasekaran
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Correspondence to A. Manimaran.

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Manimaran, A., Praba, B. & Chandrasekaran, V.M. Characterization of rough semiring. Afr. Mat. 28, 945–956 (2017). https://doi.org/10.1007/s13370-017-0495-7

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  • DOI: https://doi.org/10.1007/s13370-017-0495-7

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