Rough semi-uniform spaces and its image proximities

Surabhi Tiwari; Pankaj Kumar Singh; Surabhi Tiwari; Pankaj Kumar Singh

doi:10.3934/era.2020060

Electronic Research Archive

2020, Volume 28, Issue 2: 1095-1106. doi: 10.3934/era.2020060

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Rough semi-uniform spaces and its image proximities

Surabhi Tiwari ^,,
Pankaj Kumar Singh

Department of Mathematics, Motilal Nehru National Institute of Technology Allahabad, Prayagraj-211004, India

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.
- Rough sets,
- uniform spaces,
- proximity spaces,
- filters
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

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Abstract

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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