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Radon-Nikodym Theorem for Fuzzy Set-Valued Measures*

  • D. A. Ralescu
Chapter
Part of the NATO ASI Series book series (ASIC, volume 177)

Abstract

We study fuzzy set-valued measures in a Banach space and their relationships with fuzzy random variables. This theory is motivated by the need for a rigorous framework for the problem of inexact measurement. Our main result is a theorem of the Radon-Nikodym type for a fuzzy measure which is absolutely continuous with respect to a probability measure. Our result extends corresponding results for vector measures and for set-valued measures.

Keywords

Banach Space Vector Measure Fuzzy Measure Fuzzy Random Variable Borel Measurable Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© D. Reidel Publishing Company 1986

Authors and Affiliations

  • D. A. Ralescu
    • 1
  1. 1.Department of MathematicsUniversity of CincinnatiOhioUSA

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