基于H_α系统蕴涵算子的三I算法模糊系统  

Fuzzy systems of triple I method based on fuzzy implication operator in H_α systems

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,内江师范学院数学与信息科学学院,四川内江641112

出　　处：《福州大学学报（自然科学版）》2010年第5期657-662,共6页Journal of Fuzhou University(Natural Science Edition)

基　　金：四川省科技厅重点科技项目(2006J13-035);四川省教育厅重点实验室专项资助项目(2006ZD050)

摘　　要：针对Hα系统中的蕴涵算子Rp,首先给出FMP问题三I支持算法的计算公式;其次讨论了基于三I算法的模糊系统及其响应性能,结果表明,蕴涵算子Rp的模糊系统只具有阶跃输出能力,不具有函数逼近泛性;最后,揭示了蕴涵算子Rp的模糊系统概率意义,给出其概率分布,它在模糊系统中起着"系统内核"的作用.The first, how to implement FMP algorithm with the fuzzy implication operator in Ha system is given on the basis of triple I method. The second, fuzzy systems of triple I method and their response ability are studied which are based on implication operator Rp. It is pointed that this fuzzy systems based on implication operator Rp are not universal approximators ; it＇ s with only step output ability. The last, the probability theory significance of fuzzy systems based on the implication operator Rp 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 三I算法 条件数学期望 概率分布 

分 类 号：O159[理学—数学]