定义在复数上的复模糊值函数  

The Fuzzy Value Function Defined in Complex Numbe

作　　者：毕淑娟[1] 曹辉[1] 马玉秋[1] 

机构地区：[1]哈尔滨学院数学与计算机学院,黑龙江哈尔滨150080

出　　处：《数学的实践与认识》2009年第12期167-172,共6页Mathematics in Practice and Theory

基　　金：哈尔滨学院科学研究基金项目(HXK200713);黑龙江省教育厅科学技术研究项目(11544033)

摘　　要：把所有的关于y轴对称的模糊数都定义为零模糊数,则两个相同的模糊数的差为零,利用~ar-＋~ar^＋这样一个数值来描述模糊数的序关系,就可以得到关于纵向对称的模糊数都是等同的.在此基础之上对实模糊数的模糊距离及极限进行了研究.并研究了复模糊数的距离与复模糊数列的极限以及复模糊值函数的极限.将研究的复模糊值函数是定义在复数集C上取值于F（C）（所有的复模糊数的集合）中的复模糊数的函数.在新的序关系意义下讨论复模糊值函数的极限,并讨论复模糊值函数的收敛性质及Cauchy收敛判别法等.The author defines all fuzzy number which are symmetric respect to y axis as zero fuzzy number, then the difference of two same fuzzy number is zero fuzzy number. The fuzzy number order relation is described by value ~ar-＋~ar^＋. Then we obtain that the fuzzy numbers which are symmetric with y axis are same. Based on the research the fuzzy distance and limits of real fuzzy numbers is studied. Studied the fuzzy distances and limits of complex fuzzy numbers, complex fuzzy value function. In this paper,it is shown that complex fuzzy number valued function is function with variables in complex number C and values in complex fuzzy number F （C）（set of all complex fuzzy number）. The limits of complex fuzzy number valued function is discussed under the new order relation. The properties of convergence and Cauchy criterion Of complex fuzzy number valued function are also studied.

关 键 词：模糊数 复模糊数 复模糊值函数 

分 类 号：O159[理学—数学] O174.5[理学—基础数学]