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Rough quotient in topological rough sets

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Abstract In this paper, we introduce a rough quotient. Also, we present conditions ensuring that G/H are partitions of G. The rough projection map is also presented. We discuss first,… Click to show full abstract

Abstract In this paper, we introduce a rough quotient. Also, we present conditions ensuring that G/H are partitions of G. The rough projection map is also presented. We discuss first, second and third rough isomorphism theorems and other related results. At the end, an orbit and a stabilizer in topological rough groups are considered.

Keywords: rough sets; rough quotient; topological rough; quotient topological

Journal Title: Open Mathematics
Year Published: 2019

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