一类正则蕴涵算子诱导的DISO模糊系统的构造  

Structures of DISO fuzzy system induced by a class of regular implication operators

作　　者：李玉[1] 王贵君[1] 

机构地区：[1]天津师范大学数学科学学院,天津300387

出　　处：《山东大学学报（理学版）》2014年第6期57-63,共7页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(61374009)

摘　　要：模糊系统通过测量数据或数字传感器来获取反应输入和输出之间的映射关系,虽然它不依赖于精确的数学模型,但却具有逻辑推理、数值计算和对非线性函数的逼近能力。双输入单输出(Double input and single output,DISO)模糊系统的构造与逼近是进一步研究多输入单(多)输出模糊系统的关键所在,本文将常规模糊推理机推广为一类正则蕴涵算子,并基于该蕴涵算子、参数单点模糊化和重心解模糊器等步骤构造三种DISO模糊系统,进而导出该模糊系统输入输出的解析表达式。A fuzzy system is the mapping relationship obtaining the input and output of the response by measuring the data or digital sensors, although it does not depend on the precise mathematical model, with the ability of logical rea-soning, numerical calculation and approximation to the nonlinear function.However, the structure and approximation of the double-input and single-output （DISO） fuzzy system is the key to the further study on multiple input single （multi-ple） output fuzzy system.In this paper, we will popularize the conventional fuzzy inference machine to a class of regular implication operators, and constructed three kinds of DISO fuzzy systems based on the implication operators, param-eter singleton fuzzifier and center of gravity defuzzifier, and then the analytical expressions of the input and output of the fuzzy system are derived.

关 键 词：正则蕴涵算子 参数单点模糊化 重心解模糊器 双输入单输出模糊系统 

分 类 号：TP183[自动化与计算机技术—控制理论与控制工程] O159[自动化与计算机技术—控制科学与工程]