Multi-Granularity Neighborhood Fuzzy Rough Set Model on Two Universes  

作　　者：Ju Wang Xinghu Ai Li Fu Ju Wang;Xinghu Ai;Li Fu(School of Mathematics and Statistics, Qinghai Nationalities University, Xining, China;Xining Big Date Center, Xining, China)

机构地区：[1]School of Mathematics and Statistics, Qinghai Nationalities University, Xining, China [2]Xining Big Date Center, Xining, China

出　　处：《Journal of Intelligent Learning Systems and Applications》2024年第2期91-106,共16页智能学习系统与应用（英文）

摘　　要：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.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.

关 键 词：Fuzzy Set Two Universes Multi-Granularity Rough Set Multi-Granularity Neighborhood Fuzzy Rough Set 

分 类 号：O15[理学—数学]