基于蕴涵算子族H_((p,λ))的三Ⅰ算法模糊系统  

Fuzzy systems of triple Ⅰ method based on fuzzy implication operator family H_((p,λ))

作　　者：彭家寅[1] 

机构地区：[1]内江师范学院 数学与信息科学学院 四川省高等学校数值仿真重点实验室,四川内江641112

出　　处：《计算机工程与应用》2013年第1期53-58,共6页Computer Engineering and Applications

基　　金：四川省科技厅重点科技项目(No.2006J13-035);四川省教育厅重点实验室专项(No.2006ZD050)

摘　　要：针对蕴涵算子族H(p,λ),给出了FMP问题三Ⅰ支持算法和α-三Ⅰ支持算法的计算公式;讨论了基于三Ⅰ算法的模糊系统及其响应性能,结果表明,蕴涵算子族H(p,λ)的模糊系统只具有阶跃输出能力,不具有函数逼近泛性;揭示了蕴涵算子族H(p,λ)的模糊系统的概率意义,给出了其概率分布,它充当模糊系统的"系统内核"作用。How to implement FMP algorithm with the fuzzy implication operator family H（p,λ） is given on the basis of triple I method and α-triple I method. The fuzzy systems of triple I method and their response ability are studied which based on impli-cation operator family H（p,λ）. It is pointed that this fuzzy systems based on implication operator family H（p,λ） are not universal approximators, it＇ s with only step output ability. The probability theory significance of fuzzy systems based on the implication operator family H（p,λ） is revealed, the probability distribution is given, and it plays ＂system core＂ roles at fuzzy system.

关 键 词：模糊系统 蕴涵算子族H(p λ) 三Ⅰ算法 α-三Ⅰ支持算法 条件数学期望 概率分布 

分 类 号：O159[理学—数学]