一种求解方法.PDF
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2001 11 () Nov., 2001
24 6 Journal of ichuan Normal University(Natural cience) Vol.24, No.6
格[0, 1]上max-product 型Fuzzy 关系方程的
一种求解方法
1 2
李裕梅, 徐志军
(1., 610066; 2. , 629000)
:[0, 1] max-product Fuzzy .
max-product Fuzzy .
:Fuzzy ;Fuzzy ;;
:O159 :A :1001-8395(2001)06-0553-04
1 B =X ⊙A . (2)
x ={X |B =X ⊙A }.
[1]
Fuzzy . T T T
, B =X ⊙A ,B =A ⊙X , (2)
(1), (1).
X ={x1, x2, …, xn}, 3 (1), Xd ∈ x, X ∈ x, X
Y ={y , y , …, y }, n ={1, 2, …, n},
1 2 m ≤X , X (1).
d d
A :X ※ [0, 1] X Fuzzy , F (X ) 4[2] (1), X * ∈ x, X
={A |A :X ※[0, 1] };R :X ×Y ※[0, 1] ∈ x, X X *, X *(1).
X ×Y Fuzzy , F (X ×Y)={R |R :X × [0, 1] max-product Fuzzy
Y ※[0, 1] }. .[1] , A ⊙X = B,
, Fuzzy Fuzzy β;
[0, 1] , , , Fuzzy .
. [3] , β ;,
1[1] A =(aij )n×m,B =(bjk )m×k, .
m
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