González-Pachón, J. and Gomez, D. and Montero, Javier and Yáñez, Javier (2003) Searching for the dimension of valued preference relations. International Journal of Approximate Reasoning, 33 (2). pp. 133-137. ISSN 0888-613X
The more information a preference structure gives, the more sophisticated representation techniques are necessary, so decision makers can have a global view of data and therefore a comprehensive understanding of the problem they are faced with. In this paper we propose to explore valued preference relations by means of a search for the number of underlying criteria allowing its representation in real space. A general representation theorem for arbitrary crisp binary relations is obtained, showing the difference in representation between incomparability-related to the intersection operator-and other inconsistencies-related to the union operator. A new concept of dimension is therefore proposed, taking into account inconsistencies in source of information. Such a result is then applied to each alpha-cut of valued preference relations. (C) 2002 Elsevier Science Inc. All rights reserved.
|Uncontrolled Keywords:||Multicriteria decision analysis; Valued relations; Dimension theory|
|Subjects:||Sciences > Computer science > Artificial intelligence|
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|Deposited On:||18 Oct 2012 10:43|
|Last Modified:||03 Jun 2016 14:56|
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