模糊数无穷乘积  

Fuzzy Infinite Product

作　　者：杨立兴[1] 冯媛[1] 张强[2] 

机构地区：[1]河北大学数学与计算机学院,河北保定071002 [2]北京理工大学管理与经济学院,北京100081

出　　处：《模糊系统与数学》2002年第1期51-56,共6页Fuzzy Systems and Mathematics

摘　　要：在定义了区间无穷乘积、模糊数无穷乘积及其收敛的基础上 ,利用 [3]中得到的关于模糊级数收敛的某些结论 ,得出模糊数无穷乘积与实数无穷乘积理论类似的结果 ,从而说明本文定义的模糊数无穷乘积确为实数无穷乘积的推广。In this paper,we firstly give the definition of interval infinite product,fuzzy numbers infinite product and its convergence. Then, on the basis of some theories in , we discuss the properties of fuzzy numbers infinite product, which are similar to those of real numbers infinite product. Thus, fuzzy numbers infinite product is the generalization of real numbers infinite product indeed.

关 键 词：模糊数 模糊级数 无穷乘积 收敛 

分 类 号：O159[理学—数学]