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山东大学学报（理学版） ›› 2014, Vol. 49 ›› Issue (08): 22-27.doi: 10.6040/j.issn.1671-9352.1.2014.200

• 论文 • 上一篇    下一篇

面向R-蕴涵算子的FMT-泛三Ⅰ*算法

唐益明, 李小梅, 吴玺   

  1. 合肥工业大学计算机与信息学院, 安徽 合肥 230009
  • 收稿日期:2014-06-02 修回日期:2014-07-08 发布日期:2014-09-24
  • 作者简介:唐益明（1982-），男，博士，讲师，研究方向为模糊理论与应用、情感计算、图像处理.E-mail：tym608@163.com
  • 基金资助:
    国家自然科学基金资助项目（61203077，2014T70585）；中国博士后科学基金资助项目（2012M521218，2014770585）；国家863高技术研究发展计划项目基金（2012AA011103）

FMT-universal triple Ⅰ* method for R-implication operators

TANG Yi-ming, LI Xiao-mei, WU Xi   

  1. School of Computer & Information, Hefei University of Technology, Hefei 230009, Anhui, China
  • Received:2014-06-02 Revised:2014-07-08 Published:2014-09-24

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摘要： 针对模糊推理的FMT（fuzzy modus tollens）问题，作为三Ⅰ*算法的推广与改进形式，研究了FMT-泛三Ⅰ*算法。首先，分析了FMT-泛三Ⅰ*算法的属性，提出了该算法的基本原则，改进了之前三Ⅰ*算法的原则。其次，面向R-蕴涵算子，建立了FMT-泛三Ⅰ*算法的统一形式的解，同时针对几类经典的R-蕴涵算子，分别获得了具体情形下的优化解。最后，证明了FMT-泛三Ⅰ*算法的置换还原性，获得了良好效果。

关键词: 还原性, 模糊推理, 三I算法, 泛三Ⅰ算法

Abstract: Focusing on the FMT(fuzzy modus tollens)problem of fuzzy reasoning, as a generalization and improvement of triple Ⅰ* method, the FMT-universal triple Ⅰ* method is put forward and thoroughly investigated. First of all, the attributes of the FMT-universal triple Ⅰ* method are analyzed, and its basic principle is proposed, which improves the one of triple Ⅰ* method. Furthermore, the unified form of FMT-universal triple Ⅰ* method is established, meanwhile some optimal solutions are obtained for several classical R-implication operators. Finally, the contrapositive reversibility property of FMT-universal triple Ⅰ* method is proved with excellent results.

Key words: fuzzy reasoning, universal triple Ⅰ method, reversibility property, triple Ⅰ method

中图分类号: 

  • O159
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