Computer Engineering and Applications ›› 2010, Vol. 46 ›› Issue (32): 40-43.DOI: 10.3778/j.issn.1002-8331.2010.32.011

• 研究、探讨 • Previous Articles     Next Articles

F-rough integrals and detection-recognition of S-rough system state

YU Xiu-qing1,2   

  1. 1.Dezhou University,Dezhou,Shandong 253000,China
    2.School of Mathematics and System Sciences,Shandong University,Jinan 250100,China
  • Received:2009-04-13 Revised:2009-06-01 Online:2010-11-11 Published:2010-11-11
  • Contact: YU Xiu-qing

F-粗积分与系统S-粗状态检测-识别

于秀清1,2   

  1. 1.德州学院,山东 德州 253000
    2.山东大学 数学与系统科学学院,济南 250100
  • 通讯作者: 于秀清

Abstract: F-rough integrals generated by the dual of function one direction S-rough sets have a series of dynamic characteristics,based on which the measurements of F-rough integrals—F-rough expansion degree and F-rough expansion ratio are defined,and the principle of the attribute effect recognition is obtained.So the changing extent of the dual of function one direction S-rough sets can be described with numbers,meanwhile,the system S-rough state on some discrete time sections can be detected and recognized.This is a new research direction.

Key words: F-rough integrals, measurements of F-rough integrals, detection-recognition of system S-rough state

摘要: 函数单向S-粗集对偶生成的F-粗积分具有一系列动态特性,在此基础上提出了F-粗积分的度量——F-粗扩张度与F-粗扩张率的概念及属性施效识别原则。函数单向S-粗集对偶的变化程度不仅可以得到量化,而且对系统在离散的时间区间上的S-粗状态也可进行检测-识别。这是一个新的研究方向。

关键词: F-粗积分, F-粗积分的度量, 系统S-粗状态检测-识别

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