Abstract
Fuzzy measures which are upper envelopes of probability measures may play an important role to develop a general theory of Bayesian statistics. Especially from a technical point of view, a widely accepted generalized Bayes rule would be applicable for those kind of fuzzy measures. We give sufficient general conditions to ensure that fuzzy measures are upper envelopes of probability measures. They are applied to some special classes of important types of fuzzy measures, namely Sugeno fuzzy, plausibility and possibility measures. The proof of the main result is based on recently systemized inner extension procedures within abstract measure theory.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
