Author(s)

Ju Wang^1*, Xinghu Ai², Li Fu^1*

¹School of Mathematics and Statistics, Qinghai Nationalities University, Xining, China.
²Xining Big Date Center, Xining, China.

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.

Fuzzy Set, Two Universes, Multi-Granularity Rough Set, Multi-Granularity Neighborhood Fuzzy Rough Set

Wang, J. , Ai, X. and Fu, L. (2024) Multi-Granularity Neighborhood Fuzzy Rough Set Model on Two Universes. Journal of Intelligent Learning Systems and Applications, 16, 91-106. doi: 10.4236/jilsa.2024.162007.