计算机工程与应用 ›› 2010, Vol. 46 ›› Issue (31): 39-42.DOI: 10.3778/j.issn.1002-8331.2010.31.011

• 研究、探讨 • 上一篇    下一篇

Fuzzy蕴涵代数的区间值fuzzy滤子

秦学成，刘春辉   

  1. 赤峰学院 初等教育学院，内蒙古 赤峰 024001
  • 收稿日期:2009-12-10 修回日期:2010-05-10 出版日期:2010-11-01 发布日期:2010-11-01
  • 通讯作者: 秦学成

Interval valued fuzzy filters in fuzzy implication algebras

QIN Xue-cheng，LIU Chun-hui   

  1. Department of Elementary Education，Chifeng University，Chifeng，Inner Mongolia 024001，China
  • Received:2009-12-10 Revised:2010-05-10 Online:2010-11-01 Published:2010-11-01
  • Contact: QIN Xue-cheng

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摘要： 将Zadeh提出的区间值fuzzy集的概念应用于Fuzzy蕴涵代数（简称FI代数），提出了FI代数的区间值fuzzy滤子概念并研究其性质。给出了区间值fuzzy集成为区间值fuzzy滤子的两个充要条件；讨论了区间值fuzzy滤子与MP滤子以及fuzzy滤子间的关系；定义了区间值fuzzy滤子的象与原象，获得了它们成为区间值fuzzy滤子的条件。

关键词: FI代数, 区间值fuzzy集, MP滤子, fuzzy滤子, 区间值fuzzy滤子

Abstract: Apply the concept of interval valued fuzzy set which is introduced by Zadeh to fuzzy implication algebras（in short，FI-algebras），introduce the notion of interval valued fuzzy filters in FI-algebras and discuss their properties.Two sufficient and necessary conditions for interval valued fuzzy set to an interval valued fuzzy filter are given；The relations between interval valued fuzzy filters and MP filters，fuzzy filters of FI-algebras are discussed；The images and inverse images of interval valued fuzzy filters are defined，and the conditions for them to interval valued fuzzy filters are obtained.

Key words: FI-algebras, interval valued fuzzy sets, MP filters, fuzzy filters, interval valued fuzzy filters

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