Szpilrajn-type extensions of fuzzy quasiorderings
AbstractThe problem of embedding incomplete into complete relations has been an important topic of research in the context of crisp relations. After Szpilrajn’s result, several variations have been published. Alcantud studied in 2009 the case where the extension is asked to satisfy some order conditions between elements. He first studied and solved a particular formulation where conditions are imposed in terms of strict preference only, which helps to precisely identify which quasiorderings can be extended when we allow for additional conditions in terms of indifference too. In this contribution we generalize both results to the fuzzy case.
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Bibliographic InfoPaper provided by University Library of Munich, Germany in its series MPRA Paper with number 50547.
Date of creation: 12 Jul 2013
Date of revision:
Quasiordering; order; extension of a quasiordering.;
Find related papers by JEL classification:
- C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
- D01 - Microeconomics - - General - - - Microeconomic Behavior: Underlying Principles
This paper has been announced in the following NEP Reports:
- NEP-ALL-2013-10-18 (All new papers)
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- BOSSERT, Walter & SPRUMONT, Yves & SUZUMURA, Kotaro, 2002.
"Upper Semicontinuous Extensions of Binary Relations,"
Cahiers de recherche
2002-01, Universite de Montreal, Departement de sciences economiques.
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