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模糊推理反向三I的$R_L$型约束度分析
引用本文:张霄力,范玉顺,宋士吉. 模糊推理反向三I的$R_L$型约束度分析[J]. 系统科学与数学, 2004, 24(3): 318-323
作者姓名:张霄力  范玉顺  宋士吉
作者单位:清华大学自动化系,北京,100084
基金项目:国家973计划(2002CB312205),国家自然科学基金(60274046)资助课题.
摘    要:
研究了基于蕴涵算子RL的模糊推理反向三Ⅰ方法的约束度理论,分析了约束度的性质,得到了一般化的α-反向三Ⅰ模糊取式下确界计算公式与α-反向三Ⅰ模糊拒取式上确界计算公式.

关 键 词:模糊推理  约束度  反向三I方法  蕴涵算子R_L
修稿时间:2002-06-03

ANALYTICAL RESTRICTION DEGREE OF REVERSE TRIPLE I METHOD FOR FUZZY REASONING WITH LUKASIEWICZ''''S IMPLICATION OPERATOR
Xiao Li ZHANG,Yu Shun FAN,Shi Ji SONG. ANALYTICAL RESTRICTION DEGREE OF REVERSE TRIPLE I METHOD FOR FUZZY REASONING WITH LUKASIEWICZ''''S IMPLICATION OPERATOR[J]. Journal of Systems Science and Mathematical Sciences, 2004, 24(3): 318-323
Authors:Xiao Li ZHANG  Yu Shun FAN  Shi Ji SONG
Affiliation:Department of Automation,Tsinghua University, Beijing 100084
Abstract:
The theory of restriction on the degree of inverse triple I methodwith Lukasiewics's implication operator is studied and its properties are analyzed. The general formulae of infimum for $alpha$-solution of inverse triple I FMP (Fuzzy Modus Ponens) and supremum for $alpha$-solution of inverse triple I FMP (Fuzzy modus Tollens) are obtained, respectively.
Keywords:Fuzzy reasoning   restriction degree   inverse triple I method   Lukasiewicz's implication operator.
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