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

来源：

FUZZY SETS AND SYSTEMS | 1992年 / 45卷 / 03期

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

页码：299 / 303

页数：5

共 14 条

[1]

CHEBYSHEV PL, 1948, COMPLETE WORKS, V2

[2]

Dubois, 1980, FUZZY SETS FUZZY SYS

[3] ADDITIONS OF INTERACTIVE FUZZY NUMBERS [J].