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

In: The Economics of the Global Environment

Author

Listed:
  • Jun Zhang

    (University of Michigan)

  • Roman Ilin

    (Wright-Patterson Air Force Base)

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.

Suggested Citation

  • Jun Zhang & Roman Ilin, 2016. "Modeling Uncertainty, Context, and Information Fusion via Lattice-Based Probability," Studies in Economic Theory, in: Graciela Chichilnisky & Armon Rezai (ed.), The Economics of the Global Environment, pages 89-116, Springer.
    • Handle: RePEc:spr:steccp:978-3-319-31943-8_5
    DOI: 10.1007/978-3-319-31943-8_5
    as

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