COMPARATIVE BELIEFS AND THEIR MEASUREMENTS

Qualitative judgments play an important role in decision making under uncertainty by providing plausible interpretations and justifications for various belief measures. This paper presents some new results and a critical review on qualitative judgments, which extends the initial investigation of de Finetti and Savage on qualitative probability, the work of Dubois on qualitative necessity/possibility, and the study of Wong et. al. on qualitative belief/plausibility. The results of this study not only complement the analysis on quantitative belief measures , but also lay the ground work for developing a utility theory with no n-additive belief measures.