Suppose U is set of objects, E is a set of {0,1}-valued parameters & { h' ^5 \4 D$ U) U
e& b$ t6 ]4 z8 t, y3 _for describing objects in U. For any u in U, define an additive utility 7 g' L# _ d' C7 K: s
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function f as follows: 9 r5 r8 o* _3 O6 n8 F- i
& ^, Y* `! w/ {! }& q. K f (u ) e (u ), (对e属于E,e(u)求和) 7 t# A" f7 {- K) J) Z& e) B7 a , N6 v. G8 f& |, h
e E ) V& c8 H6 K5 ]' Q: ~. |2 { 0 y( L' C- o2 a7 I9 q1 swhere e(u ) 0,1. u is called an optimal solution if it is one of the 6 u0 T7 [; a$ r* E" ]/ _9 \5 n
3 y/ T: G5 |& smaximum points of function f with respect to normal order. For 9 h C' |* ]; A ; [5 H, o3 I* U+ {2 X- N2 ccertain reasons, some values are missing. It costs if we want to find ; ?3 G q- @0 ~. K& V
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out what these values are. We assume that we know nothing about 8 y* [. E [1 v: `9 W5 Y- `+ B/ C 2 `- V# B. `, t% b' n6 gthe probability of these values being 0 or 1. So my questions are: - U) b T7 l3 Y2 Y! S: b! e
; K/ L2 M2 C2 s' \7 t(1.) Which unknown value should we figure out firstly if we want to . v/ d7 B: W/ p4 a5 ^6 T, E/ o " ]* F, M7 i ]& P* h find at least one optimal solution?