Artificial Intelligence
Artificial intelligence in perspective
Information Sciences: an International Journal
From Conditional Events to Conditional Measures: A New Axiomatic Approach
Annals of Mathematics and Artificial Intelligence
Conditioning in a coherent setting: Theory and applications
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Perception Based Representation of Female Avatar
ICCSA '08 Proceedings of the international conference on Computational Science and Its Applications, Part II
Measuring the Quality of Health-Care Services: A Likelihood-Based Fuzzy Modeling Approach
ECSQARU '07 Proceedings of the 9th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
Fuzzy inclusion and similarity through coherent conditional probability
Fuzzy Sets and Systems
Integrated Likelihood in a Finitely Additive Setting
ECSQARU '09 Proceedings of the 10th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
The fuzzy approach to statistical analysis
Computational Statistics & Data Analysis
Conditioning in a coherent setting: Theory and applications
Fuzzy Sets and Systems
Generalized Bayesian inference in a fuzzy context: From theory to a virtual reality application
Computational Statistics & Data Analysis
Credit scoring analysis using a fuzzy probabilistic rough set model
Computational Statistics & Data Analysis
On some basic concepts in probability of IF-events
Information Sciences: an International Journal
On an implicit assessment of fuzzy volatility in the Black and Scholes environment
Fuzzy Sets and Systems
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The main subject of this paper is the embedding of fuzzy set theory-and related concepts-in a coherent conditional probability scenario. This allows to deal with perception-based information-in the sense of Zadeh-and with a rigorous treatment of the concept of likelihood, dealing also with its role in statistical inference. A coherent conditional probability is looked on as a general non-additive ''uncertainty'' measure m(.)=P(E|.) of the conditioning events. This gives rise to a clear, precise and rigorous mathematical frame, which allows to define fuzzy subsets and to introduce in a very natural way the counterparts of the basic continuous T-norms and the corresponding dual T-conorms, bound to the former by coherence. Also the ensuing connections of this approach to possibility theory and to information measures are recalled.