Suppose U is set of objects, E is a set of {0,1}-valued parameters ( U" k# l# N P" A$ z! q+ N# T1 o5 ], {/ h; \
for describing objects in U. For any u in U, define an additive utility 5 u! \1 G0 w" q& _
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function f as follows: 6 C) e' C+ E/ a7 E6 e0 p
' h" k3 w% r0 [, `% B f (u ) e (u ), (对e属于E,e(u)求和)6 V' N) V' ~" A% L
) J k* x# D! [+ d
e E ' t! j4 M* z l# N* A 5 \* r5 _4 p" F5 T) u7 bwhere e(u ) 0,1. u is called an optimal solution if it is one of the 9 f4 ^% e3 B% n2 e 5 C0 Z2 V0 P3 _* U4 R1 rmaximum points of function f with respect to normal order. For . \" u9 v$ \9 V& Z, I; C5 ^# ?% h" s5 A* y) q
certain reasons, some values are missing. It costs if we want to find & d/ q, X4 |, D! n% M7 Q, ?$ X0 B
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out what these values are. We assume that we know nothing about $ } K/ } W, V1 C: e2 I 3 n; [6 [) _7 V# F) B9 P+ Zthe probability of these values being 0 or 1. So my questions are: 5 W( O/ Q5 L3 A" O9 w ) f* S6 l& Q2 I" a9 F6 L0 h(1.) Which unknown value should we figure out firstly if we want to 2 u6 l# \3 g7 K, e) ~9 j1 {
, X' E6 |6 Q) m0 e3 O& D find at least one optimal solution?