Repeat the analysis in parts (a) and (b) by replacing the min function with a max function.

What will be an ideal response?

Let
?
({A1, A2, ··· , Ak}) = max( c(A1 ?? A2, A3, ··· , Ak), ···
c(Ak ?? A1, A3 ··· , Ak?1))

Since s(A, B, C) ? s(A, B) and min(s(A, B), s(A, C), s(B,C)) ? min(s(A), s(B), s(C))
? min(s(A), s(B)), ?

({A, B, C}) can be greater than or less than ?
({A, B}).

Hence, the measure is non-monotone.

Computer Science & Information Technology

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