Artificial Intelligence
Possibilistic Merging and Distance-Based Fusion of Propositional Information
Annals of Mathematics and Artificial Intelligence
Analyzing the degree of conflict among belief functions
Artificial Intelligence
Possibility theory and statistical reasoning
Computational Statistics & Data Analysis
Decision making in the TBM: the necessity of the pignistic transformation
International Journal of Approximate Reasoning
Measuring conflict between possibilistic uncertain information through belief function theory
KSEM'06 Proceedings of the First international conference on Knowledge Science, Engineering and Management
Measuring the quality of uncertain information using possibilistic logic
ECSQARU'05 Proceedings of the 8th European conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
Conflicts within and between belief functions
IPMU'10 Proceedings of the Computational intelligence for knowledge-based systems design, and 13th international conference on Information processing and management of uncertainty
A model for the integration of prioritized knowledge bases through subjective belief games
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
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In possibility theory, the degree of inconsistencyis commonly used to measure the level of conflict in information from multiple sources after merging, especially conjunctive merging. However, as shown in [HL05,Liu06b], this measure alone is not enough when pairs of uncertain information have the same degree of inconsistency, since it is not possible to tell which pair contains information that is actually better, in the sense that the two pieces of information in one pair agree with each other more than the information does in other pairs. In this paper, we investigate what additional measures can be used to judge the closenessbetween two pieces of uncertain information. We deploy the concept of distance between betting commitmentsdeveloped in DS theory in [Liu06a], since possibility theory can be viewed as a special case of DS theory. We present properties that reveal the interconnections and differences between the degree of inconsistency and the distance between betting commitments. We also discuss how to use these two measures together to guide the possible selection of various merging operators in possibility theory.