基于Sendograph度量的连续逼近  

On Continuous Approximation of Fuzzy Numbers via Sendograph Metric

作　　者：范丽红[1] 

机构地区：[1]台州学院数学与信息工程学院,浙江台州317000

出　　处：《模糊系统与数学》2010年第2期69-72,共4页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(10926104)

摘　　要：证明En中的模糊数关于Sendograph度量可以用具有连续截集函数的模糊数任意逼近,并给出连续映射下由扩张原理导出的函数关于Sendograph度量也是连续的。特别地,具有连续的截集函数的模糊数在严格单调的连续函数之下的象也具有连续的截集函数。It is proved that fuzzy numbers can be approximated via sendograph metric by fuzzy numbers with continuous λ-cut functions to any accuracy. Also it is shown that a continuous function induces via Zadeh＇s extension principle a continuous mapping with respect to sendograph metric. Specially the image of a fuzzy number with continuous λ-cut function under the extension of it has continuous λ-cut function

关 键 词：连续逼近 Sendograph度量 线性分段函数 

分 类 号：O159[理学—数学]