Relational Systems of Preference with One or More Pseudo-Criteria: Some New Concepts and Results

This paper proposes new concepts and new results which could lead to a more realistic preference modeling than in classical decision theory. Sections 1–3 present four fundamental situations of preferences, their combinations and the concept of relational system of preferences. In 4, a particular cas...

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Bibliographic Details
Published in:Management science 1984-11, Vol.30 (11), p.1323-1335
Main Authors: Roy, B, Vincke, Ph
Format: Article
Language:English
Subjects:
Ambivalence
Binary relations
Criteria
decision
Decision making
Decision theory
Economic models
Economic utility
Hypotheses
Infinite sets
Mathematical functions
Mathematical theorems
preference
Preferences
pseudo-criteria
Quantitative psychology
Relations
semiorder
Sufficient conditions
Systems
Working papers
Citations: Items that cite this one
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Summary:This paper proposes new concepts and new results which could lead to a more realistic preference modeling than in classical decision theory. Sections 1–3 present four fundamental situations of preferences, their combinations and the concept of relational system of preferences. In 4, a particular case of relational system of preference is studied. It is associated with the concept of pseudo-criterion derived from the classical concept of criterion by adjunction of two thresholds. Some results are given, generalizing the properties of such well-known structures as complete preorders and semiorders. Sections 5 and 6 emphasize the possibilities given by the preceding concepts to take the imprecisions, irresolutions and incomparabilities appearing in every concrete problem where several criteria must be considered into account.
ISSN:0025-1909
1526-5501
DOI:10.1287/mnsc.30.11.1323