粒计算的一种覆盖模型

Covering Model of Granular Computing

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.

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.