RL型蕴涵与Fuzzy推理的三I算法  

RL-type implication and Triple-I algorithm in Fuzzy reasoning

作　　者：苏忍锁[1] 王国俊[1] 

机构地区：[1]陕西师范大学数学与信息科学学院,陕西西安710062

出　　处：《陕西师范大学学报（自然科学版）》2004年第3期7-11,共5页Journal of Shaanxi Normal University：Natural Science Edition

基　　金：国家自然科学基金资助项目(19831040)

摘　　要：引入了RL型蕴涵与正则RL型蕴涵的概念,系统地讨论了基于RL型蕴涵的三I算法、三IMT算法及其还原性,得到了这些算法的一般表达式,指出基于正则RL型蕴涵的三I算法与三IMT算法的表达式具有对偶形式;证明了当P表示条件{B(y)｜y∈Y} {A(x)｜x∈X}时,基于RL型蕴涵的三I算法为P 还原算法,当P表示条件{A(x)｜x∈X} {B(y)｜y∈Y}时,基于RL型蕴涵的三IMT算法为P 还原算法.The concepts of RL-type implication and regular RL-type implication are introduced. Triple(-I) algorithm and Triple-I MT algorithm based on RL-type implication and their reductor are investigated. The general representing expression of the above these algorithm are given, and it is pointed out that the representing expression of Triple-I algorithm and the one of Triple-I MT algorithm based on regular RL-type implication are dual. It is proved that Triple-I algorithm and Triple-I MT algorithm based on RL-type implication be P-reductive algorithm respectively ,there P representatives {B(y)|y∈Y}{A(x)|x∈X} or {A(x)|x∈X}{B(y)|y∈Y} respectively.

关 键 词：三I算法 正则 蕴涵 Fuzzy推理 表示 对偶形式 一般表达式 RL IMT 条件 

分 类 号：N941[自然科学总论—系统科学] O141[理学—数学]