ИНТЕЛЛЕКТУАЛЬНЫЕ ИНФОРМАЦИОННЫЕ СИСТЕМЫ
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y1 y2 y3 |
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R = x2 1.0 0.5 0 ! |
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x1 0.1 0.7 0.4 |
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M % * " µB(y) " B = A ◦ R 0' " " " %<; |
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µB(y1) = max{min(1, 0.1), min(0.6, |
1)} |
= 0.6; |
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µB(y2) = max{min(1, 0.7), min(0.6, |
0.5)} |
= 0.7; |
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µB(y3) = max{min(1, 0.4), min(0.6, |
0)} |
= 0.4. |
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G ; +0 @ * * ' & P R1 X × Y R2 Y × Z / ' P X × Z 1%" / R1 " / ' P
X × Y ) R2 R ' P Y × Z =hX• ]nb> * R1 ◦ R2 " 0
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max min µ |
R1 |
(x, y), µ |
R2 |
(y, z) , |
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= 9> |
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µR1◦R2 (x, z) = y Y |
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x X, y Y, z Z. |
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1 1%" / X = {x1, x2}, |
Y = {y1, y2, y3}, Z = {z1, z2, z3, z4} @ P R1 X × Y |
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Y × Z 0 " %<; * |
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z4 |
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1 = x1 0.1 0.7 0.4 |
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R |
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@ P ; & ) 0 O ) %' ' & " "
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U x A, y B,
A X B Y R ' " ) 0 " % * "
µA : X → [0, 1] µB : Y → [0, 1] " " 1 0 ' &
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? " ) 0 ) # ;
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µA→B |
(x, y) = max min |
µA(x), µB(y) |
, 1 − µA(x) ; |
= > |
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µA→B(x, y) = min 1, 1 − µA(x) + µB(y) ; |
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µ |
(x, y) = min µ |
A |
(x), µ |
(y) . |
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= > |
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A→B |
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B |
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F P = > = > 0 0 O ) % % = > " /
j -
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I "" % % = > M ' " " B " " %<;
max min µ |
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(x), µ |
(x, y) |
= |
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µB (y) = µA (x) ◦ µA→B(x, y) = x X |
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A→B |
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= > |
= max |
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max min µ |
A |
(x), µ (x), µ (y) . |
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x X min µA (x), min µA(x), µB(y) = x X |
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B |
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yj µj |
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j j µj |
, µj = µB (yj ). |
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I "" ' " 0 " %' "& 0 0 1%" / "0 x = x0)
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/ " / ' " " % * "
µ0(x) = 1, x = x0,0, x = x0.
1 " µ0(x) " µA (x) = > @' ) ' ? " %' " % x X = >
" /" / x = x0 @ "< %' ' /
µB (y) = min {µA(x0), µB(y)} . = >
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µB (y) = max µB1 (y), . . . , µBk(y) = max min [µA1 (x0), µB1 (y)] , . . . min [µAk (x0), µBk(y)] .
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1.0 |
1.0 |
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m (y)=max{mB |
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µA (x) = 1 − µA (x)
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B = y1/b1, y2/b2, . . . , yn/bn , |
βj = µB (yj ), |
" = ' > ' |
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A = x1/a1, x2/a2, . . . , xm/am , |
αi = µA (xi), |
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j = 1, . . . , n |
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µB (yj ) = i=1,..., m |
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max |
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j = 1, . . . , n. |
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