摘要
本文讨论了Ｆ数的扩张加法和扩张数乘运算的性质；并举反例说明这样的扩张运．算不能使Ｆ数全体Ｆ＊构成线性空间；最后对可列个Ｆ数的运算进行了讨论．
In this paper,the properties of the extension operations of addition and multiplication (with real scalars)of fuzzy numbers are investigated. By means of inverse examples,it is shown that these extension operations don't make the set of the whole fuzzy numbers a linear space. Finally,Some properties of the Operations of sequences of fuzzy number are given.
出处
《大学数学》
1995年第3期89-92,共4页
College Mathematics
关键词
F数
扩张运数
线性空间
Fuzzy number,Extension operations,Linear spaces
