ON USING ALPHA-CUTS TO EVALUATE FUZZY EQUATIONS

被引：125

作者：

BUCKLEY, JJ ^{[1
]}

QU, YX ^{[1
]}

机构：

[1] TAIYUAN UNIV TECHNOL,DEPT MATH & MECH,TAIYUAN,PEOPLES R CHINA

来源：

FUZZY SETS AND SYSTEMS | 1990年 / 38卷 / 03期

关键词：

FUZZY NUMBERS; ALGEBRA; ANALYSIS;

D O I：

10.1016/0165-0114(90)90204-J

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Consider an equation y = f(x1,...,x(n)) where the extension principle is used to find YBAR = f(XBAR1,...,XBAR(n)) when we substitute fuzzy numbers XBAR(i) for the x(i), 1-less-than-or-equal-to-i-less-than-or-equal-to-n. If XBAR(i)(alpha) denotes an alpha-cut of XBAR(i), then we argue that, for only certain simple equations, will one obtain YBAR(alpha) equal to f(XBAR1(alpha),..., XBAR(n)(alpha)) where f is evaluated using interval arithmetic.

引用

页码：309 / 312

页数：4