结构元线性生成的模糊多项式插值  

Fuzzy Polynomial Interpolation of Linear Generation Fuzzy Numbers Based on Structured Element

作　　者：任燕[1,2] 杨洋[1] 郭嗣琮[1] 

机构地区：[1]辽宁工程技术大学理学院,辽宁阜新123000 [2]河南理工大学数学与信息科学学院,河南焦作454000

出　　处：《模糊系统与数学》2015年第6期154-159,共6页Fuzzy Systems and Mathematics

基　　金：教育部高校博士学科点专项科研基金资助项目(20102121110002)

摘　　要：基于结构元理论,研究了插值节点为精确值对应点为模糊数的模糊多项式插值问题。定义了模糊插值多项式结构元表示的一般形式和证明了模糊插值多项式的存在唯一性。给出了模糊多项式插值的应用实例。A new method which is based on the structured element is offered to the fuzzy polynomial interpolation. In this ease, the node points are crisp data and the values are fuzzy numbers. A general form of the fuzzy polynomial interpolation represented by structured element is discussed. Then, the existence and uniqueness of fuzzy polynomial interpolation is proved. Finally, the examples show the applicability and efficiency of the proposed method.

关 键 词：模糊多项式插值 模糊结构元 模糊数 

分 类 号：O159[理学—数学]