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Combining Experimentation and Theory pp 301–327Cite as

Using Dempster-Shafer Structures to Provide Probabilistic Outputs in Fuzzy Systems Modeling

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Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 271))

Abstract

Our interest is in providing a capability to include probabilistic outputs in fuzzy systems modeling. To accomplish this we use Dempster-Shafer belief structures. We first discuss some basic ideas from the Dempster-Shafer theory of evidence. We then describe Mamdani’s paradigm for fuzzy systems modeling which provided the pioneering framework for the many applications of fuzzy logic control. We then show how to use the Dempster-Shafer belief structure to provide machinery for including randomness in the fuzzy systems modeling process. We show how to this can be used to include various types of uncertainties including additive noise in the fuzzy systems modeling process. We next describe the Takagi-Sugeno approach to fuzzy systems modeling. Finally we use the Dempster-Shafer belief structure to enable the inclusion of probabilistic aspects in the output of the Takagi-Sugeno model.

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Author information

Authors and Affiliations

  1. Machine Intelligence Institute, Iona College, New Rochelle, NY, 10801, USA

    Ronald R. Yager

  2. Ford Motor Company, Dearborn, MI, 48121, USA

    Dimitar P. Filev

Authors
  1. Ronald R. Yager
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  2. Dimitar P. Filev
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Corresponding author

Correspondence to Ronald R. Yager .

Editor information

Editors and Affiliations

  1. European Center for Soft Computing, Mieres, Asturias, 33600, Spain

    Enric Trillas

  2. , Computing and Decision Sciences, Coolidge Fellow GE Global Research, NY, 12309, USA

    Piero P. Bonissone

  3. , Edificio Científico-Tecnológico, European Centre of Soft Computing, Calle Gonzalo Gutiérrez Quirós S/N Mieres, Asturias, 33600, Spain

    Luis Magdalena

  4. Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, Warsaw, 01--447, Poland

    Janusz Kacprzyk

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Yager, R.R., Filev, D.P. (2012). Using Dempster-Shafer Structures to Provide Probabilistic Outputs in Fuzzy Systems Modeling. In: Trillas, E., Bonissone, P., Magdalena, L., Kacprzyk, J. (eds) Combining Experimentation and Theory. Studies in Fuzziness and Soft Computing, vol 271. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24666-1_22

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  • DOI: https://doi.org/10.1007/978-3-642-24666-1_22

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-24665-4

  • Online ISBN: 978-3-642-24666-1

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