FMT问题的两种三I算法及其还原性

Two Triple I Methods for FMT Problem and Their Reductivity

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。

This paper focuses on FMT(Fuzzy Modus Tollens) problems of fuzzy reasoning, proposes a new triple I method(called triple I * method) for solving FMT problems, obtains general computing formulas of triple I method and triple I * method. Furthermore, the reductivity of these methods is also discussed. The meaning of two kinds of reductivity for FMT is defined, it is proved that for FMT problems, triple I method is W-reductive, and triple I * method is Z-reductive.