一种新的构造蕴涵算子族的方法  

A New Method for Constructing the Family of Implication Operators

作　　者：李骏[1] 丁博[1] 

机构地区：[1]兰州理工大学理学院,甘肃兰州730050

出　　处：《模糊系统与数学》2015年第3期56-60,共5页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(11261032)

摘　　要：提出了以加权平均构造蕴涵算子族的方法,证明了由正规蕴涵算子通过这种方法构造的蕴涵算子族仍是正规蕴涵,给出了以四种基本的正则蕴涵算子为基础构造的蕴涵算子族,为模糊推理乃至模糊控制中蕴涵算子的选择提供了更多的可能。the paper weighted operators choices of The weighted average method for constructing the family of implication operators is proposed in , it is proved that implication operators constructing from normal implication operators by average method are still normal implication operators. Moreover, the family of implication building from four basic regular implication operators is given, which provides more possible implication operators for fuzzy reasoning and fuzzy control.

关 键 词：正规蕴涵 正则蕴涵 蕴涵算子族 加权平均法 

分 类 号：O141[理学—数学]