模糊蕴涵算子族L-λ-G及其应用  

Family of Fuzzy Implication Operator L-γ-G and Its Application

作　　者：彭家寅[1] 

机构地区：[1]四川省高等学校数值仿真重点实验室//数学系,内江师范学院四川内江641112

出　　处：《内江师范学院学报》2007年第6期9-11,共3页Journal of Neijiang Normal University

基　　金：四川省科技厅重点科技项目(2006J13-035)资助.

摘　　要：讨论了L-λ-G族模糊蕴涵算子的伴随算子及其正则性,指出了在模糊蕴涵算子族L-λ-G中,只有R_(Lu)算子与R_G算子有伴随算子且具有正则性,从而说明了这两种算子是较理想的蕴涵算子.最后通过一个实例,说明了模糊蕴涵算子族L-λ-G在近似推理中的具体应用.The regularity and the adjoint operators of family of fuzzy implication operator L-λ-G were discussed The result suggests that only l.ukasiewicz operator RLu, and Godel operator RG have adjoint operator and satisfy regularity. Consequently, these two operators are ideal. Finally, the application of family of fuzzy implication operator L-λ-G in fuzzy reasoning was investigated with acase.

关 键 词：模糊蕴涵算子族 伴随算子 正则性 

分 类 号：O159[理学—数学]