以模糊逻辑系统中公式的真度概念为基础,提出了基于真度理论的模糊逻辑方程的概念。并在Go¨del逻辑系统中就形如τ(X→p)=α的模糊逻辑方程展开了讨论。我们得到了如下结论:模糊逻辑方程τ(X→p)=α有m-同型解当且仅当α∈{i/(m+2)!+1/2i=0,1,2…,(m+2)!/2}。
Based on the theory of the truth degree of proposition logic in Gdel logic system,the conception of fuzzy logic equations are given.The properties of the fuzzy logic equations which it forms is τ(X→p) were discussed.We get the following results: the fuzzy logic equations τ(X→p) have m-homotype solutions iff α∈{i/(m+2)!+1/2|i=0,1,2…,(m+2)!/2}.