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适宜于展开模糊推理的两类模糊度量空间 被引量：7

Two types of fuzzy metric spaces suitable for fuzzy reasoning
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摘要 给出了衡量模糊推理鲁棒性的度量应有的结构,建立了基于左连续三角模的4类模糊度量空间,证明了基于Lukasiewicz蕴涵和Goguen乘积蕴涵的模糊度量空间是最适宜于展开模糊推理的两类模糊度量空间. The metric structures for measure the robustness of fuzzy reasoning are given. Based on the left continuous triangular norms, four types of fuzzy metric spaces are constructed. Finally, it proved that the fuzzy metric spaces related to Lukasiewicz implication and Goguen implication are more suitable for fuzzy reasoning.
作者 王国俊 段景瑶
机构地区 陕西师范大学数学研究所 宝鸡文理学院数学系
出处 《中国科学：信息科学》 CSCD 2014年第5期623-632,共10页 Scientia Sinica(Informationis)
基金 国家自然科学基金(批准号:11171200) 中央高校特别支持项目(批准号:GK201403001) 宝鸡文理学院重点项目(批准号:ZK14059) 中央高校教师自由探索项目(批准号:GK201402006)资助
关键词 模糊推理 鲁棒性 正则度量 Goguen型蕴涵 Lukasiewicz型蕴涵 fuzzy reasoning robustness, regular metric, Goguen implication, Lukasiewicz implication
分类号 O159 [理学—基础数学] TP273.4 [自动化与计算机技术—检测技术与自动化装置]
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参考文献15

  • 1王国俊.模糊推理的全蕴涵三I算法[J].中国科学（E辑）,1999,29(1):43-53. 被引量：350
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二级参考文献41

共引文献357

同被引文献32

  • 1刘刚,刘强.双枝模糊推理框架[J].计算机工程与应用,2004,40(32):102-105. 被引量：5
  • 2刘纪芹,史开泉.双枝模糊集模糊性度量[J].系统工程与电子技术,2007,29(5):732-736. 被引量：2
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  • 8JIN J H,LI Y M,LI C Q.Robustness of fuzzy reasoning via logically Equivalence measure[J].Information Sciences,2007,177:5103-5117.
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引证文献7

二级引证文献8

中国科学：信息科学
2014年 第5期

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