Journal
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
Volume 39, Issue 3, Pages 4515-4531Publisher
IOS PRESS
DOI: 10.3233/JIFS-200482
Keywords
Rough sets; lower and upper approximations; j-neighborhood; j-adhesion neighborhood; accuracy measure
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Funding
- Deanship of Scientific Research at Prince Sattam Bin Abdulaziz University, Alkharj, Saudi Arabia
- National Natural Science Foundations of China [11771263, 61967001]
- Key Research and Development Project of Shaanxi Province of China [2018KW-050]
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In this paper, we generalize three types of rough set models based on j-neighborhood space (i.e, type 1 j-neighborhood rough set, type 2 j-neighborhood rough set, and type 3 j-neighborhood rough set), and investigate some of their basic properties. Also, we present another three types of rough set models based on j-adhesion neighborhood space (i.e, type 4 j-adhesion neighborhood rough set, type 5 j-adhesion neighborhood rough set, and type 6 j-adhesion neighborhood rough set). The fundamental properties of approximation operators based on j-adhesion neighborhood space are established. The relationship between the properties of these types is explained. Finally, according to j-adhesion neighborhood space, we give a comparison between the Yao's approach and our approach.
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