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The Relationship between Interval, Fuzzy and Possibilistic Optimization

  • Conference paper
Modeling Decisions for Artificial Intelligence (MDAI 2009)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5861))

Abstract

The relationship between fuzzy set theory (in particular fuzzy arithmetic) and interval analysis is well-know. This study explores the interconnections between interval analysis, fuzzy interval analysis, and interval and fuzzy/possibilistic optimization. Two key ideas are considered herein: (1) constraint set computation and (2) the clear distinctions and relationships between interval, fuzzy, and possibilistic entities as they are used in optimization within an historical and taxonomic context. Constraint fuzzy interval arithmetic is used to compute constraint sets.

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Author information

Authors and Affiliations

  1. Department of Mathematical and Statistical Sciences, University of Colorado Denver, Campus Box 170, P.O. Box 173364, Denver, CO, 80217-3364, U.S.A.

    Weldon A. Lodwick

Authors
  1. Weldon A. Lodwick
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Editor information

Editors and Affiliations

  1. IIIA-CSIC, Campus UAB s/n, 08193, Bellaterra, Catalonia, Spain

    Vicenç Torra

  2. Toho Gakuen, 3-1-10 Naka, Kunitachi, 186-0004, Tokyo, Japan

    Yasuo Narukawa

  3. Graduate School of Engineering Science, Osaka University, 1-3, Machikaneyama, Toyonaka, 560-8531, Osaka, Japan

    Masahiro Inuiguchi

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© 2009 Springer-Verlag Berlin Heidelberg

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Lodwick, W.A. (2009). The Relationship between Interval, Fuzzy and Possibilistic Optimization. In: Torra, V., Narukawa, Y., Inuiguchi, M. (eds) Modeling Decisions for Artificial Intelligence. MDAI 2009. Lecture Notes in Computer Science(), vol 5861. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04820-3_5

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  • DOI: https://doi.org/10.1007/978-3-642-04820-3_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-04819-7

  • Online ISBN: 978-3-642-04820-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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