模糊逻辑函数的主析取范式的研究

RESEARCH ON THE PRIMARY DISJUNCTIVE NORMAL FORM OF FUZZY LOGIC FUNCTION

本文首先证明有关模糊逻辑函数的一些定理和并不可约元的充要条件。之后定义了模糊逻辑函数的“互素并不可约元”的概念,以及建立了在主析取范式“互素并不可约元”的条件。最后给出简化模糊逻辑函数的方法,应用它化简模糊逻辑函数,比采用[1]和[2]介绍的方法,化得更简。从而使模糊逻辑函数的化简问题,得到较理想的解决。

In this paper, firstly some theorems of fuzzy logic functions and the necessasy and sufficient condition of join-irreducible elements are proved secondly, the concept of relatively prime and join-irreducible elements and their conditions are established in principal disjunctive normal forms. lastly, the method to reduce the fuzzy logic functions is given and to apply it to reduce the fuzzy logic ifunctions is even more simple than the method in [1] and [2]. Thus such minimization of fuzzy logic functions is better solued.