Characterization of certain orders using their associated choice functions |
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| Affiliation: | 1. Department of Management Control and Information Systems, School of Economics and Business, University of Chile, Av. Diagonal Paraguay 257, 8330015 Santiago, Chile;2. Institute of Computing Science, Poznań University of Technology, Street Piotrowo 2, 60-965 Poznań, Poland;3. Department of Statistics and Operations Research, University of Vienna, 1010 Wien, Austria;4. Department of Decision Sciences, Università Bocconi, Via Roentgen 1, 20139 Milano, Italy;5. Warwick Business School, University of Warwick, CV4 7AL, Coventry, UK;6. INESC TEC, Faculty of Engineering, University of Porto, Rua Dr. Roberto Frias, 4200-465 Porto, Portugal;7. Faculty of Economics and Business, University of Groningen, PO Box 800, 9700 AV Groningen, Netherlandsn;1. Students, School of Mechanical Engineering, Dr. Vishwanath Karad, MIT-WPU, Pune 38, India;2. Faculty of Mechanical Engineering, Dr. Vishwanath Karad, MIT-WPU, Pune 38, India |
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| Abstract: | Binary relation and choice functions define two different languages for describing the decision maker's (DM's) preferences over a finite set of alternatives. The study of normal choice functions establishes a link between these two languages. The existence of this kind of function demonstrates the compatibility between the DM's local choices (paired comparisons or binary choices) and the DM's global choices. In this paper, we explore this kind of linkage in depth by studying characterizations of special binary relations (total order, weak order, partial order and quasi order) using certain properties of their associated choice functions. |
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