有限区间值模糊逻辑代数及其广义重言式

The Algebra and Generalized Tautology in Limited Interval-Valued Fuzzy Logic

讨论了有限区间值模糊逻辑代数 ,给出了判别其子代数的充要条件 ;并将王国俊教授在多值模糊逻辑系统中的广义重言式理论推广到有限区间值模糊逻辑系统In[0 ,1]中 ,证明了在In[0 ,1]中不存在 [1,1] - 重言式 ,广义重言式不随系统的扩大而增多 。

The algebra in Limited Interval Valued Fuzzy Logic is discussed,and the sufficient and necessary condition to judge its subalgebra is given;The theory of generalized tautology in many valued logic system,which is introduced by professor Wang Guo jun to Limited Interval Valued Fuzzy Logic system I nis generalized,and that there is no tautology in I n,generalized tautology can't increase with the extension of the system and the insensitivity of prefix b in generalized tautology are proved.