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一种广义模糊粗糙集模型的新定义
引用本文:黄卫华,杨国增,李沫沫.一种广义模糊粗糙集模型的新定义[J].河南纺织高等专科学校学报,2009(1):45-47.
作者姓名:黄卫华  杨国增  李沫沫
作者单位:文山师范高等专科学校数理系;郑州师范高等专科学校数学系;云南民族大学数学与计算机科学学院;
基金项目:文山师范高等专科学校校级科研基金项目(08WSTQ03)
摘    要:在Pawlak粗糙集模型的基础上,把一个论域推广到两个论域,等价关系推广为模糊关系,被近似对象换成模糊集,得到广义模糊粗糙集模型.讨论了该模型与经典粗糙集模型的关系,并与其他模糊粗糙集算子进行了比较.该模型在保留原有一些性质的基础上,近似精度提高了,更具有实际应用价值.

关 键 词:粗糙集  模糊集  模糊粗糙集  广义模糊粗糙集模型  广义近似空间  近似算子

A New Definition of the Generalized Fuzzy Rough Set Model
HUANG Weihua,YANG Guozeng,LI Momo.A New Definition of the Generalized Fuzzy Rough Set Model[J].Journal of Henan Textile College,2009(1):45-47.
Authors:HUANG Weihua  YANG Guozeng  LI Momo
Affiliation:1.Department of Mathematics-Physics;Wenshan Teachers College;Wenshan 663000;China;2.Department of Mathematics;Zhengzhou Teachers College;Zhengzhou 450044;3.School of Mathematics and Computer Science;Yunnan Nationalities University;Kunming 650093;China
Abstract:Based on the rough set on the basis of the model,a domain extended to the two domains.Equivalence relations promotion of fuzzy relationship was replaced by the approximate fuzzy sets.It was generalized fuzzy rough set model.Discussion of the model with the classical model of rough sets,as well as with other fuzzy rough set operator comparison.In the preservation of some properties on the basis of the approximate accuracy improved.Therefore the model is more practical.
Keywords:rough sets  fuzzy rough sets  the model of generalized fuzzy rough sets  generalized approximate space  approximate operator  
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