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On the Use of Paired Comparisons to Construct Group Preference Scales for Decision Making
Authors:Kung-E Cheng  James A McHugh  Fadi P Deek
Institution:1. National Center for Transportation and Industrial Productivity, New Jersey Institute of Technology, University Heights, Newark, NJ, 07102, USA
2. Computer Science Department, College of Computing Sciences, New Jersey Institute of Technology, University Heights, Newark, NJ, 07102, USA
3. College of Science and Liberal Arts, New Jersey Institute of Technology, University Heights, Newark, NJ, 07102, USA
Abstract:Polling opinion is a common group activity. Scaling tools can be used to provide a more precise presentation of opinions than traditional polling/voting. The interval scale of items constructed by scaling tools can aid participants in finding the current disposition of a group. We consider Thurstone’s law of comparative judgment as well as a weighted digraph ranking system for building group scales from pairwise comparisons. Assumptions for computing scales are reviewed together with issues and limitations of applying these scaling methods in groups. Results from a classic experiment and simulations by both methods are compared. We also made recommendations on choosing scaling method based on theoretic and practical consideration.
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