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Multi-Granularity Neighborhood Fuzzy Rough Set Model on Two Universes
School of Mathematics and Statistics, Qinghai Nationalities University, Xining, China
Xining Big Date Center, Xining, China
School of Mathematics and Statistics, Qinghai Nationalities University, Xining, China
- 1 School of Mathematics and Statistics, Qinghai Nationalities University, Xining, China
- 2 Xining Big Date Center, Xining, China
- 3 School of Mathematics and Statistics, Qinghai Nationalities University, Xining, China
Journal of Intelligent Learning Systems and Applications·Volume 16 (2024)·Pages 91–106·Published 22 March 2024·DOI10.4236/jilsa.2024.162007
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Abstract
The two universes multi-granularity fuzzy rough set model is an effective tool for handling uncertainty problems between two domains with the help of binary fuzzy relations. This article applies the idea of neighborhood rough sets to two universes multi-granularity fuzzy rough sets, and discusses the two-universes multi-granularity neighborhood fuzzy rough set model. Firstly, the upper and lower approximation operators are defined in the two universes multi-granularity neighborhood fuzzy rough set model. Secondly, the properties of the upper and lower approximation operators are discussed. Finally, the properties of the two universes multi-granularity neighborhood fuzzy rough set model are verified through case studies.
KeywordsFuzzy SetTwo UniversesMulti-Granularity Rough SetMulti-Granularity Neighborhood Fuzzy Rough Set
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