Aggregation operators defined by korder additive/maxitive fuzzy measures
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
A general framework for upper and lower possibilities and necessities
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
IEEE Transactions on Knowledge and Data Engineering
Modeling positive and negative information in possibility theory
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ECSQARU '09 Proceedings of the 10th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
A Simple Modal Logic for Reasoning about Revealed Beliefs
ECSQARU '09 Proceedings of the 10th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
Synthesized Fault Diagnosis Method Based on Fuzzy Logic and D-S Evidence Theory
ICIC '07 Proceedings of the 3rd International Conference on Intelligent Computing: Advanced Intelligent Computing Theories and Applications. With Aspects of Artificial Intelligence
Information Sciences: an International Journal
Inferential processes leading to possibility and necessity
Information Sciences: an International Journal
Qualitative capacities as imprecise possibilities
ECSQARU'13 Proceedings of the 12th European conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
Do inferential processes affect uncertainty frameworks?
Fuzzy Sets and Systems
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The paper investigates a qualitative counterpart of Shafer's evidence theory, where the basic probability assignment is turned into a basic possibility assignment whose weights have 1 as a maximum. The associated set functions, playing the role of belief, plausibility, commonality, and the dual of the latter, are now defined on a "maxitive", rather than on an additive basis. Although this possibilistic evidence setting has been suggested for a long time, and has a clear relation with the study of qualitative Möbius transforms, it has not been really systematically studied and considered for itself as a general qualitative representation framework. It can be viewed as defining imprecise possibilities, and encompasses standard possibilitistic representations as a particular case. The paper particularly focuses on a generalized set-theoretic view of this setting and discusses the entailment relation between basic possibility assignments as well as combination rules.