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‘Additive difference’ models without additivity and subtractivity
- Source :
-
Journal of Mathematical Psychology . Aug2004, Vol. 48 Issue 4, p263-291. 29p. - Publication Year :
- 2004
-
Abstract
- This paper studies conjoint measurement models tolerating intransitivities that closely resemble Tversky''s additive difference model while replacing additivity and subtractivity by mere decomposability requirements. We offer a complete axiomatic characterisation of these models without having recourse to unnecessary structural assumptions on the set of objects. This shows the pure consequences of several cancellation conditions that have often been used in the analysis of more traditional conjoint measurement models. Our models contain as particular cases many aggregation rules that have been proposed in the literature. [Copyright &y& Elsevier]
- Subjects :
- *AXIOMS
*MATHEMATICS
*FOUNDATIONS of geometry
*NUMERICAL analysis
Subjects
Details
- Language :
- English
- ISSN :
- 00222496
- Volume :
- 48
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Psychology
- Publication Type :
- Periodical
- Accession number :
- 13705347
- Full Text :
- https://doi.org/10.1016/j.jmp.2004.04.002