一些模糊推理方法的还原性

给出15个常用模糊蕴涵算子的三Ⅰ算法,在此基础上讨论由这15个蕴涵算子与CRI算法和三Ⅰ算法相结合生成的30种模糊推理方法的还原性。     

Fe(Ⅲ)/Y型沸石的表征和催化性能

用ＸＰＳ，Ｍｏｓｓｂａｕｅｒ谱，ＴＰＲ，ＮＨ３－ＴＰＤ，Ｐｙ－ＩＲ和脉冲微反等技术研究了Ｆｅ／Ｙ型沸石中Ｆｅ的表面和体相状态，还原性，酸性及其甲苯转化反应性能。结果表明，Ｆｅ／Ｙ型沸石中Ｆｅ／Ｙ上六配位，八面体的形式存在，且可能形成超细粒子。     

FMT问题的两种三Ⅰ算法及其还原性

进一步研究FMT问题,得到该问题的三Ⅰ算法的一般计算公式,提出该问题的一种新算法三Ⅰ^*算法,给出新算法的一般计算公式,讨论两种算法的还原性问题,明确两种还原性的含义,证明FMT问题的三Ⅰ算法是W－还原的,而三Ⅰ^*算法是Z－还原的。     

关于GMP和GMT问题的最优解

进一步研究模糊推理的非模糊形式，在几个重要的逻辑系统中形式地讨论GMP(广义取式)和GMT(广义拒取式)问题的最优解。结果表明，GMP和GMT问题的三I解和一种新的三I解都是某种意义下的最优解。还讨论所给算法的还原性问题。     

Triple I method of approximate reasoning on Atanassov's intuitionistic fuzzy sets

Two basic inference models of fuzzy reasoning are fuzzy modus ponens (FMP) and fuzzy modus tollens (FMT). The Triple I method is a very important method to solve the problems of FMP and FMT. The aim of this paper is to extend the Triple I method of approximate reasoning on Atanassov's intuitionistic fuzzy sets. In the paper, we first investigate the algebra operators' properties on the lattice structure of intuitionistic fuzzy information and provide the unified form of residual implications which indicates the relationship between intuitionistic fuzzy implications and fuzzy implications. Then we present the intuitionistic fuzzy reasoning version of the Triple I principles based on the models of intuitionistic fuzzy modus ponens (IFMP) and intuitionistic fuzzy modus tollens (IFMT) and give the Triple I method of intuitionistic fuzzy reasoning for residual implications. Moreover, we discuss the reductivity of the Triple I methods for IFMP and IFMT. Finally, we propose α-Triple I method of intuitionistic fuzzy reasoning.     

关于三 I FMT问题的若干注记

指出了在经典逻辑学中,M T是M P的等价形式;明确了三I FM T是与三I FM P不同的算法,且三I FM P与三I FM T这两种算法是对偶算法,表明三I算法的两个组成部分在理论上是和谐的。指出了如果在Fuzzy推理中模仿M T而计算FM T的解,则会回到FM P问题。