计算机工程与应用 ›› 2008, Vol. 44 ›› Issue (36): 73-76.DOI: 10.3778/j.issn.1002-8331.2008.36.020

• 理论研究 • 上一篇    下一篇

逻辑等价度量下的模糊推理系统的鲁棒性

王庆平,张兴芳,庄光明   

  1. 聊城大学 数学科学学院，山东 聊城 252059
  • 收稿日期:2007-12-24 修回日期:2008-03-03 出版日期:2008-12-21 发布日期:2008-12-21
  • 通讯作者: 王庆平

Robustness of fuzzy reasoning under metric of logic equivalence

WANG Qing-ping,ZHANG Xing-fang,ZHUANG Guang-ming   

  1. School of Mathematics Science，Liaocheng University，Liaocheng，Shandong 252059，China
  • Received:2007-12-24 Revised:2008-03-03 Online:2008-12-21 Published:2008-12-21
  • Contact: WANG Qing-ping

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摘要： 给出了基于模糊逻辑等价度量的模糊集的扰动的定义，讨论了模糊集扰动与模糊连接词及蕴涵算子扰动之间的关系，针对若干特殊的模糊连接词及蕴涵算子的扰动情形，给出了模糊推理系统的扰动的估计，并讨论了模糊推理系统的鲁棒性。

Abstract: This paper gives the definition of maximum perturbation of fuzzy sets under metric of logic equivalence，discusses the relations between the robustness of fuzzy reasoning and that of fuzzy conjunction and implication operators，presents robustness results for various conjunction and implication operators，gives the estimation of maximum perturbation of fuzzy reasoning，discussses robustness of fuzzy reasoning.

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