Szpilrajn-type extensions of fuzzy quasiorderings

José Alcantud () and Susana Díaz

MPRA Paper from University Library of Munich, Germany

Abstract: The 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.

Keywords: Quasiordering; order; extension of a quasiordering. (search for similar items in EconPapers)
JEL-codes: C02 D01 (search for similar items in EconPapers)
Date: 2013-07-12
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