摘要
用双蕴涵定义模糊集的相似测度,在此基础上研究一种新的模糊推理模型-基于双蕴涵的相似推理模型.考虑推理的FMP问题,给出4种推理算法,获得由常见的蕴涵算子构造的相似推理模型的计算公式.把已有的模糊系统作了改进,提出高斯模糊系统的概念,并证明基于双蕴涵相似推理模型的高斯模糊系统具有良好的函数逼近特性.
Similarity-based fuzzy reasoning models defined by biimplication are stuama. Firstly consider FMP problem, we put forward four kinds of models of similarity-based fuzzy reasoning and show that they have the properties of reducibility and continuity. The formulas of similarity-based fuzzy reasoning defined by commonly used implications are discussed. At last we propose the definition of Gaussian fuzzy systems and show that the Gaussian fuzzy systems constructed by the upper similarity-based fuzzy reasoning models are universal approximators.
出处
《应用数学学报》
CSCD
北大核心
2015年第3期477-495,共19页
Acta Mathematicae Applicatae Sinica
基金
国家自然科学基金资助项目(No.11471202)
关键词
相似测度
相似推理模型
高斯模糊系统
函数逼近
measure of similarity
similarity-based fuzzy reasoning
Gaussian fuzzy systems
approximation of function
