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OALib Journal期刊
ISSN: 2333-9721
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？全覆盖粒计算模型的粒化、知识逼近及其算子性质研究
DOI: 10.13232/j.cnki.jnju.2015.01.015, PP. 105-110
Keywords: 粒计算,全覆盖,邻域系统,内点算子,闭包算子
Abstract:
？粒计算(grc)作为处理不精确、不确定、不完备信息的重要工具，其基本思想是粒化、粒的运算和粒运算结果的融合.部分覆盖是粒计算理论框架中的一种重要模型，在电脑安全、搜索引擎和客户评估等领域具有潜在应用价值.全覆盖是部分覆盖的一种特例，已有的研究是从粗糙集理论的角度开展的，这是一种点集拓扑观念下的全覆盖.本文在pre-topology理论的框架下，从粒化、知识逼近和算子性质三个方面，首先介绍了邻域系统的相关定义，并在邻域系统基础之上提出了粒、全覆盖粒计算、全覆盖近似空间的概念；然后借助pre-topology空间中内点和闭包算子的概念，在全覆盖近似空间中利用已定义的粒重新诠释了内点和闭包算子，对全覆盖粒计算模型中的任意对象进行知识逼近，并用算例来说明；最后探究了全覆盖粒计算模型中这对逼近算子满足的基本性质，并证明了所提性质，为以后设计基于全覆盖粒计算模型的特征选择算法提供了理论基础.
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