Abstract

For original paper see Jiang, ibid., vol.53, p.922-923 (2004). Jiang shows a result that a Cohorts coterie is nondominated (ND) under a Cohorts structure Coh(k,n) = (C <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</sub> ,C <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sub> ,..., C <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">n</sub> ) if |C <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</sub> | = k. However, the result is incorrect. In this comment, we correct the result by deriving the necessary and sufficient conditions for the Cohorts coterie to be ND. As we will see, a Cohorts coterie under Coh(k,n) is ND if and only if k = 1 or n = 1.

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