Computer Engineering and Applications ›› 2008, Vol. 44 ›› Issue (36): 73-76.DOI: 10.3778/j.issn.1002-8331.2008.36.020

• 理论研究 • Previous Articles     Next Articles

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

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
  • 通讯作者: 王庆平

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.

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。