计算机工程与应用 ›› 2011, Vol. 47 ›› Issue (11): 3-6.

• 博士论坛 • 上一篇    下一篇

粒的特征及形式化表示研究

李 鸿1,2,马小平1   

  1. 1.中国矿业大学 信息与电气工程学院,江苏 徐州 221008
    2.宿州学院 信息工程学院 智能信息处理实验室,安徽 宿州 234000
  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2011-04-11 发布日期:2011-04-11

Research on feature and formal representation of granule

LI Hong1,2,MA Xiaoping1   

  1. 1.School of Information and Electrical Engineering,China University of Mining and Technology,Xuzhou,Jiangsu 221008,China
    2.Lab of Intelligent Information Processing,School of Information Engineering,Suzhou University,Suzhou,Anhui 234000,China
  • Received:1900-01-01 Revised:1900-01-01 Online:2011-04-11 Published:2011-04-11

摘要: 为了能为粒计算的粒提供一种统一的表示形式,研究了粒的特征的基本含义、描述及其关系,分析了粒的对象、特征、关系及状态等四个基本要素,提出了基于数据层面的粒的四元组的形式化表示形式,即由对象集、特征集、关系集和约束集四元组组成。接着给出了几个特殊粒的表示形式,然后说明了该表示形式的统一性及其优点,并结合具体的例子进行了研究。该形式化表示形式具有重要的方法论意义,很好地解决了基于数据层面的粒的表示问题,有利于问题求解和粒计算理论的研究。

关键词: 粒, 特征, 形式化, 表示, 粒计算

Abstract: In order to provide the granule unification representation of granular computing,the paper discusses the basic meaning,descriptions and the relations between the features of the granule,analyzes the four basic elements of the granule:The objects,the features,the relationships,and the states,presents four-tuples formal representation based on data levels,that is the object set,feature set,relationship sets and constraints set.Then the representation of several special granules are presented,and it shows the unity and advantage of the representation,gives a specific examples to study.The formal representation has important significance in methodology to solve well the granule representation based on data levels,and to be conductive to problem solving and granular computing theory studying.

Key words: granule, feature, formalization, representation, granular computing