Modeling Uncertainty, Context, and Information Fusion via Lattice-Based Probability

Jun Zhang () and Roman Ilin ()
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Jun Zhang: University of Michigan
Roman Ilin: Wright-Patterson Air Force Base

A chapter in The Economics of the Global Environment, 2016, pp 89-116 from Springer

Abstract: Abstract This chapter reviews and explores mathematical foundations for probabilistic inference, uncertainty representation, and fusion of disparate information sources. We will revisit probability measures defined on an event space that is modeled as a bounded distributive lattice—this includes as a special case Boolean lattice where each element has unique complementation and upon which standard probability theory has been axiomatized.

Keywords: Distributive Lattice; Event Space; Intuitionistic Logic; Belief Function; Orthomodular Lattice (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:steccp:978-3-319-31943-8_5

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DOI: 10.1007/978-3-319-31943-8_5

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