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1) DM has a well-defined strict ranking over the finite set of alternatives X = {a, b,c, d, e, f, g}. Without loss of generality,
1) DM has a well-defined strict ranking over the finite set of alternatives X = {a, b,c, d, e, f, g}. Without loss of generality, assume a > b> c> dre> f > g. At any B C X, C(B) is the median ranked alternative. Median is defined as the middle ranked element if B has an odd number of elements and the "middle two" elements if B has an even number of elements. (So, for example, C(a, b, c}) = {b} since a > b> c and C({c, d, f, g}) = {d, f } since c>d> f> g.) a) Condition a is satisfied. b) Condition S is satisfied. c) Not enough information to conclude if Condition S holds. d) None of the above
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