Ordering orders
DC Element | Wert | Sprache |
---|---|---|
dc.contributor.author | Suck, R | |
dc.date.accessioned | 2021-12-23T16:01:09Z | - |
dc.date.available | 2021-12-23T16:01:09Z | - |
dc.date.issued | 1998 | |
dc.identifier.issn | 01654896 | |
dc.identifier.uri | https://osnascholar.ub.uni-osnabrueck.de/handle/unios/4794 | - |
dc.description.abstract | This paper is concerned with structures of the form (A, 0) where A is a nonempty set and O a set of order relations on A. In particular we investigate their representability as a product structure with a weak order defined on a Cartesian product satisfying independence in the Conjoint Measurement sense. It is shown by a number of examples that systems of this kind, i.e. (A, B)-structures are often encountered. Conditions are formulated under which the set O can be partially ordered, which is a necessary requirement for its representability as a conjoint structure. The investigation of the relation between the automorphism group of (A, 0) and the automorphism group of the representing product structure gives rise to the introduction of a new class of automorphisms, generalizing the concept of a factorizable automorphism invented by Luce & Cohen. The generalized factorizable automorphisms are proven to form a group which contains the ordinary factorizable automorphisms as a normal subgroup. (C) 1998 Elsevier Science B.V. All rights reserved. | |
dc.language.iso | en | |
dc.publisher | ELSEVIER SCIENCE BV | |
dc.relation.ispartof | MATHEMATICAL SOCIAL SCIENCES | |
dc.subject | (A,O)-structures | |
dc.subject | automorphism group | |
dc.subject | Business & Economics | |
dc.subject | Economics | |
dc.subject | Mathematical Methods In Social Sciences | |
dc.subject | Mathematics | |
dc.subject | Mathematics, Interdisciplinary Applications | |
dc.subject | order theory | |
dc.subject | Social Sciences, Mathematical Methods | |
dc.subject | WEAK ORDERS | |
dc.title | Ordering orders | |
dc.type | journal article | |
dc.identifier.doi | 10.1016/S0165-4896(97)00026-7 | |
dc.identifier.isi | ISI:000076167300002 | |
dc.description.volume | 36 | |
dc.description.issue | 2 | |
dc.description.startpage | 91 | |
dc.description.endpage | 104 | |
dc.publisher.place | PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS | |
dcterms.isPartOf.abbreviation | Math. Soc. Sci. |
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geprüft am 22.05.2024