模糊系统与数学
模糊繫統與數學
모호계통여수학
FUZZY SYSTEMS AND MATHEMATICS
2009年
6期
94-99
,共6页
模糊系统%综合函数%插值机理
模糊繫統%綜閤函數%插值機理
모호계통%종합함수%삽치궤리
Fuzzy System%Multifactorial Function%Interpolation Mechanism
分析现有模糊系统的数学表示形式,注意到模糊系统输出函数的构造常采用对规则后件模糊集峰点(中心)值加权平均的方法. 综合函数是因素空间理论中利用简单因素状态合成复杂因素状态的有效工具, 本文将综合函数用于构造规则后件模糊集峰点(中心)值的权重, 给出一种新的模糊系统设计方法, 并且证明了这种基于综合函数的模糊系统可归结为一种插值函数.
分析現有模糊繫統的數學錶示形式,註意到模糊繫統輸齣函數的構造常採用對規則後件模糊集峰點(中心)值加權平均的方法. 綜閤函數是因素空間理論中利用簡單因素狀態閤成複雜因素狀態的有效工具, 本文將綜閤函數用于構造規則後件模糊集峰點(中心)值的權重, 給齣一種新的模糊繫統設計方法, 併且證明瞭這種基于綜閤函數的模糊繫統可歸結為一種插值函數.
분석현유모호계통적수학표시형식,주의도모호계통수출함수적구조상채용대규칙후건모호집봉점(중심)치가권평균적방법. 종합함수시인소공간이론중이용간단인소상태합성복잡인소상태적유효공구, 본문장종합함수용우구조규칙후건모호집봉점(중심)치적권중, 급출일충신적모호계통설계방법, 병차증명료저충기우종합함수적모호계통가귀결위일충삽치함수.
By analyzing mathematical expressions of output functions of existing fuzzy systems, we note that the method of weighted averaging the peak points of rule consequent fuzzy sets is used commonly for the output quantities of fuzzy systems. Multifactorial functions are valid tools for decreasing dimensions in factor spaces. In this paper, the weights of the peak points of rule consequent fuzzy sets are constructed by multifactorial functions, and a new design method of fuzzy systems is proposed. Moreover, it is proved that these fuzzy systems based on multifactorial functions are interpolation functions.
