# American Institute of Mathematical Sciences

June  2020, 28(2): 1095-1106. doi: 10.3934/era.2020060

## Rough semi-uniform spaces and its image proximities

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

* Corresponding author: Surabhi Tiwari

Received  February 2020 Revised  May 2020 Published  June 2020

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. Electronic Research Archive, 2020, 28 (2) : 1095-1106. doi: 10.3934/era.2020060
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