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New types of soft rough sets in groups based on normal soft groups

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Hybridization of soft sets and rough sets is an important way to deal with uncertainties. This paper aims to study the concept of roughness in soft sets over groups. In this regard, a pair of two soft sets, viz. soft lower and soft upper approximation spaces, are introduced by applying the normal soft groups corresponding to each parameter. Some important results related to these soft approximation spaces over groups are studied with examples. Furthermore, this paper presents a relationship between the soft approximation spaces based on the soft image and soft pre-image of a normal soft group via group homomorphisms. This work can be applicable in the field of information technology to connect two information systems.

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Correspondence to Saba Ayub.

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Communicated by Marcos Eduardo Valle.

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Ayub, S., Shabir, M. & Mahmood, W. New types of soft rough sets in groups based on normal soft groups. Comp. Appl. Math. 39, 67 (2020).

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  • Rough sets
  • Soft sets
  • Soft groups
  • Normal soft groups

Mathematics Subject Classification

  • Primary 05C38
  • 15A15
  • Secondary 05A15
  • 15A18