RL型蕴涵与Fuzzy推理的三I算法

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

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.