基于多值蕴含的二型模糊推理模型  

Type-2 fuzzy reasoning models based on multi-valued implications

作　　者：阎鹏[1] 王宏[2] 张运杰[1] 

机构地区：[1]大连海事大学数学系,辽宁大连116026 [2]河北理工大学理学院,河北唐山063009

出　　处：《辽宁工程技术大学学报（自然科学版）》2010年第5期759-762,共4页Journal of Liaoning Technical University (Natural Science)

摘　　要：针对Mamdani蕴含算子不支持经典逻辑的问题,采用与一型模糊逻辑系统类似的研究方法,讨论了基于Kleene-Dienes、Lukasiewicz、Zadeh和Reichenbach蕴含算子的二型模糊推理模型,分别给出了这四个二型模糊推理模型最终模糊集的隶属函数表达式。研究结果表明,这四个二型模糊推理模型及其算法具有一般经典逻辑的共同属性,比Mamdani二型模糊推理模型更自然。研究结论突破了已有的框架,有助于二型模糊逻辑系统的进一步研究。Mamdani implication operator does not uphold classical logic. Using the method applied to a Type-1 fuzzy logic system,this paper discusses Type-2 fuzzy inference models based on Kleene-Dienes implication operator,Lukasiewicz implication operator,Zadeh implication operator and Reichenbach implication operator. Furthermore,the paper provides the membership function formulae of the final fuzzy set of these four Type-2 fuzzy inference models. The result shows that these four Type-2 fuzzy inference models and algorithms have in common the feature of general classic logic,and for this reason they seem to be more natural than that of Mamdani model. This study demonstrates a breakthrough in previous framework,and will enhence a further investigation on Type-2 fuzzy logic systems.

关 键 词：二型模糊逻辑系统 蕴含算子 模糊推理模型 

分 类 号：O159[理学—数学]