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J4 ›› 2008, Vol. 43 ›› Issue (12): 61-65.

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β-粗积分

苏芬肖,陈保会   

  1. 山东大学数学学院, 山东 济南 250100
  • 收稿日期:2008-08-29 出版日期:2008-12-16 发布日期:2009-11-09
  • 通讯作者: 苏芬肖 fenxiaosu@mail.sdu.edu.cn

The β-Rough integral

 SU Fen-Xiao, CHEN Bao-Hui   

  1. School of Mathematics and System Science, Shandong University, Jinan 250100, Shandong, China
  • Received:2008-08-29 Online:2008-12-16 Published:2009-11-09

摘要:

基于文献[1]提出的F-粗积分概念,引入迁移信度β,提出在迁移信度β条件下的β-粗积分,讨论F-粗积分与β-粗积分的关系,证明β-粗积分是F-粗积分的推广,F-粗积分是β-粗积分的特例。

关键词: 函数单向S-粗集;F-粗积分;迁移信度β;β-粗积分

Abstract:

Based on the concept of the F-rough integral proposed by Yu[1], the concept of the β-rough integral was given by employing the transfer credibility degree β, the relation between the F-rough integral and the β-rough integral was discussed. It was proved that the β-rough integral is a generalization of the F-rough integral, while the F-rough integral is a special case of the β-rough integral.

Key words: function one direction S-rough sets; F-rough integral; transfer credibility degree β; β-rough integral

中图分类号: 

  • O159
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