Upper and Lower Bound Evaluation of Multiattribute Objects: Comparison Models Using Linear Programming |
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| Institution: | 1. Institute of Computing Science, Poznań University of Technology, Piotrowo 2, Poznań 60-965, Poland;2. WMG, International Manufacturing Centre, University of Warwick, Coventry, CV4 7AL, UK;3. Institute of Advanced Study, Millburn House, University of Warwick Science Park, Coventry, CV4 7HS, UK;4. ORD, NRMRL, WSWRD, WQMB, U.S. Environmental Protection Agency, Cincinnati, OH, 45268, USA;5. Sustainable Technology Division, National Risk Management Research Laboratory, U.S. Environmental Protection Agency, Cincinnati, OH, 45268, USA |
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| Abstract: | We argue that three points of comparison which people use in everyday thinking are: comparison of an object relative to the next best object; relative to the average object; or relative to the worst object. We present formal models of comparison, based on linear programming, for multiattribute objects. We present upper and lower bound evaluations for each type of comparison: that is, relative to each of the three natural points of comparison we may determine an object′s most favorable standing, and its least favorable. The six models are illustrated with an example. Potential applications in marketing, decision analysis, social cognition, and negotiation are briefly sketched. |
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