扰动模糊逻辑算子组

On the Operator Group of Disturbing Fuzzy Logic

在扰动模糊逻辑命题及其算子的基础上,定义了扰动模糊逻辑算子组的概念,讨论了扰动模糊逻辑算子组的性质.从而使经典模糊逻辑的概念及性质得到进一步的推广,同时也揭示了在这种由一维到二维的推广中存在的问题.最后,从代数观点研究了扰动模糊逻辑算子组与经典模糊逻辑算子组之间的同态关系.

Based on disturbing fuzzy logic proposition and its operators, the operator group of dis- turbing fuzzy logic is defined. The properties of disturbing fuzzy logic operator group are discussed. These results not only extended the notions of classic fuzzy logic and its properties, but also represent the existing problems in extension. In the same time, from the view point of abstract algebra, the homomorphism between disturbing fuzzy logic operator group and class fuzzy logic operator group is studied.