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模糊推理全蕴涵算法及其还原性
引用本文:裴道武.模糊推理全蕴涵算法及其还原性[J].数学研究与评论,2004,24(2):359-368.
作者姓名:裴道武
作者单位:同济大学计算机科学与工程系,上海,200092;盐城师范学院数学系,江苏,盐城,224002
摘    要:模糊推理是模糊控制的逻辑基础,然而通用的模糊推理CRI算法却缺乏严格的逻辑依据,近期问世的模糊推理全蕴涵三I算法有效地改进了CRI算法。本文研究了全蕴涵三I算法的一般计算公式及其还原性问题,并且得到了一些新的算法,也提出了一些新的观点,文献中已有的结果大多数是本文结果的特例。从而为模糊推理提供了一种新方法。

关 键 词:模糊逻辑    模糊推理    模糊控制    CRI算法    全蕴涵三Ⅰ算法    还原性
文章编号:1000-341X(2004)02-0359-10
收稿时间:2001/1/22 0:00:00
修稿时间:2001年1月22日

Full Implication Triple Ⅰ Algorithms and Their Consistency in Fuzzy Reasoning
PEI Dao-wu.Full Implication Triple Ⅰ Algorithms and Their Consistency in Fuzzy Reasoning[J].Journal of Mathematical Research and Exposition,2004,24(2):359-368.
Authors:PEI Dao-wu
Institution:Dept. of Comp. Sci. & Engineering. Tongji University; Shanghai; China; Dept. of Math.; Yancheng Teachers' College; Jiangsu 224002; China
Abstract:Fuzzy reasoning is the mathematical and logical foundation of fuzzy control. How- ever, the conventional CRI algorithms of fuzzy reasoning are short of solid logic foundation. The full implication trip1e I algorithms proposed recently efficiently improve CRI algo- rithms. In this paper, computing formulas and consistency of the triple I algorithms are studied generally, so that the most existing results are included as the special cases of the re- sults given out here. Some new results are obtained with new ideas.
Keywords:fuzzy logic  fuzzy reasoning  fuzzy control  CRI algorithm  full implication triple I algorithm  consistency
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