A LAW OF LARGE NUMBERS FOR FUZZY NUMBERS

被引:32
|
作者
FULLER, R
机构
[1] Department of Operations Research, Computer Center, L. Eötvös University, H-1502 Budapest 112
关键词
POSSIBILITY; PROBABILITY; NECESSITY; FUZZY NUMBER; TRIANGULAR NORM; LAW OF LARGE NUMBERS; SEQUENCE OF FUZZY NUMBERS; CONVERGENCE THEOREM;
D O I
10.1016/0165-0114(92)90147-V
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
We study the problem: xi-1, xi-2,... are fuzzy numbers with modal values M1, M2,..., then what is the strongest t-norm for which for any epsilon > 0 where m(n) = (M1 +...+ M(n))/n, the arithmetic mean (xi-1 + ... + xi(n))/n is defined via sup-t-norm convolution and Nes denotes necessity.
引用
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页码:299 / 303
页数:5
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