Abstract
Dempster's upper and lower probabilities occur when dealing with multivalued mappings and qualify as Shafer's belief and plausibility measures. In this paper we generalize the notion of upper and lower probabilities while maintaining their properties as belief and plausibility measures, and subsequently apply this concept on Kwakernaak's fuzzy random variables. It is shown how fuzzy random variables induce belief and plausibility functions and it is pointed out what relations exist between fuzzy probabilities and degrees of belief and plausibility. Finally we focus on empirical fuzzy random variables and investigate their asymptotic behavior in terms of belief and plausibility constraints and gain a framework for nonparametric statistical reasoning on the basis of uncertain evidences.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
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 callMore From: IEEE Transactions on Systems, Man, and Cybernetics
Disclaimer: 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.
