Group Opinion Structure: The Ideal Structures, their Relevance, and Effective Use
One is often interested in the “behind-the-scenes” of a group decision. This interest may refer to knowing whether the “vote” distribution’s mode coincides with the outcome, determining the structure of the set of opinions (any “blocks of votes”?), or finding the biggest subgroup of (relatively) consistent opinions. The potential uncovered structures may take the form of “ideal” or “perfect” structures, and their derivatives, which may be of a far broader significance than just for the group decision making. They may also shed light on the definitions of such basic notions as “consensus”. The paper presents several conditions to be fulfilled by such structures, in decreasing order of strength, and their properties, with a perspective on potential determination and applications. In addition, the conditions presented are “positive cluster definitions” of non-probabilistic character.
KeywordsGroup Decision Ideal Structure Complete Linkage Consistent Opinion Ruling Coalition
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