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Rough semi-uniform spaces and its image proximities

  • Received: 01 February 2020 Revised: 01 May 2020
  • Primary: 54A05, 54D35, 54D80, 54E15; Secondary: 54C60, 54E05, 54E17

  • In this paper, we introduce the concept of rough semi-uniform spaces as a supercategory of rough pseudometric spaces and approximation spaces. A completion of approximation spaces has been constructed using rough semi-uniform spaces. Applications of rough semi-uniform spaces in the construction of proximities of digital images is also discussed.

    Citation: Surabhi Tiwari, Pankaj Kumar Singh. Rough semi-uniform spaces and its image proximities[J]. Electronic Research Archive, 2020, 28(2): 1095-1106. doi: 10.3934/era.2020060

    Related Papers:

  • In this paper, we introduce the concept of rough semi-uniform spaces as a supercategory of rough pseudometric spaces and approximation spaces. A completion of approximation spaces has been constructed using rough semi-uniform spaces. Applications of rough semi-uniform spaces in the construction of proximities of digital images is also discussed.



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