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Roughness in hemirings

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Abstract

Theory of rough sets is an important tool in data mining. In this paper, we are initiating the study of roughness in hemirings with respect to the Pawlak approximation space and also with respect to the generalized approximation space. Lower and upper rough subhemirings and ideals are studied. Lower and upper approximations of k-ideals and h-ideals of a hemiring are discussed.

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Authors and Affiliations

  1. COMSATS Institute of Information Technology, Attock, Pakistan

    Muhammad Irfan Ali

  2. Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan

    Muhammad Shabir

  3. Department of Mathematics, F. G. College for Women F-7/2, Islamabad, Pakistan

    Samina Tanveer

Authors
  1. Muhammad Irfan Ali
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  2. Muhammad Shabir
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  3. Samina Tanveer
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Correspondence to Muhammad Irfan Ali.

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Ali, M.I., Shabir, M. & Tanveer, S. Roughness in hemirings. Neural Comput & Applic 21 (Suppl 1), 171–180 (2012). https://doi.org/10.1007/s00521-011-0757-5

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  • DOI: https://doi.org/10.1007/s00521-011-0757-5

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