Axiomatic Characterization and Comparative Analysis of Preference on Desirability and Possibility.
Abstract
A complete axiomatic system which characterizes the preference relations (the relation of comparative desirability or comparative possibility in different cases) under Maximin (Minimax), Maximax), Bayesian, Probabilistic, Plausibilistic and Fuzzy theoretic evaluations is introduced. A set of these on preference relations is presented, and their validity is tested under the different systems. Based on these results, the commonalities and peculiarities of the preference relations are elucidated and a systematic way of identifying the underlying evaluation method of arbitrarily given preference data is constructed. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1983
- Accession Number
- ADP002329
Entities
People
- O. Katai
- S. Iwai
Organizations
- Kyoto University