Fono, Louis Aimé and Salles, Maurice (2011) Continuity of utility functions representing fuzzy preferences. Social Choice and Welfare, 37 (4). pp. 669-682. ISSN 0176-1714
Full text not available from this repository.Abstract
In a previous paper, we established necessary and sufficient conditions for a given binary fuzzy relation to be representable by a utility function. In this article, we construct a crisp order topology associated to a given weakly complete fuzzy pre-order and introduce the notion of “continuous fuzzy pre-order.” We show that this new condition and the conditions introduced in the previous paper are together necessary and sufficient for a numerical representation of a given weakly complete fuzzy pre-order by a continuous utility function.
| Item Type: | Article |
|---|---|
| Official URL: | http://www.springer.com/economics/economic+theory/... |
| Additional Information: | © 2011 Springer |
| Divisions: | CPNSS |
| Subjects: | H Social Sciences > HB Economic Theory |
| JEL classification: | E - Macroeconomics and Monetary Economics > E0 - General |
| Date Deposited: | 19 Sep 2011 14:26 |
| Last Modified: | 05 Jan 2024 21:33 |
| URI: | http://eprints.lse.ac.uk/id/eprint/38289 |
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