|
| 摘要: |
| 为了在一种更为广泛的背景之下研究粒计算的基本问题(诸如粒化、粒的计算及粒空间之间信息粒转化等)，在放弃等价关系的3个条件的基础上提出了一种基于覆盖的粒计算模型，进一步推广了已有的工作。在该模型下，重新定义了Zoom-in算子与Zoom-out算子。对于论域及粒化了的论域而言，Zoom-in算子与Zoom-out算子的不同复合会产生不同的近似算子。研究了这些近似算子的性质并建立起它们与拓扑空间及Galois联络之间的联系。 |
| 关键词: 粒计算 覆盖 Zoom-in Zoom-out Galois联络 拓扑空间 |
| DOI： |
| 分类号: |
| 基金项目:Supported by the National Natural Science Foundation of China under Grant No.10771129 (国家自然科学基金) |
|
| Covering Model of Granular Computing |
|
SHE Yan-Hong, WANG Guo-Jun
|
| Abstract: |
| To investigate the basic problems of granular computing, such as granulation, computing with granulars and so on, in a more general setting, a covering model of granular computing is introduced in this paper by relaxing the three conditions of equivalence relations, which generalizes the existing models. Under this model, Zoom-in and Zoom-out operators are defined, respectively. Different combinations of Zoom-in and Zoom-out operators form different rough approximations of the universe of discourse and granulated universe of discourse. This paper studies their propertis and establishes their relationship with topological space and Galois connection. |
| Key words: granular computing covering Zoom-in Zoom-out Galois connection topological space |
