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Shadowed Fuzzy Sets: A Framework with More Freedom Degrees for Handling Uncertainties Than Interval Type-2 Fuzzy Sets and Lower Computational Complexity Than General Type-2 Fuzzy Sets

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New Concepts and Applications in Soft Computing

Part of the book series: Studies in Computational Intelligence ((SCI,volume 417))

Abstract

In this chapter, the concept of Shadowed Fuzzy Set is introduced and some of its related operations are studied. Shadowed Fuzzy Set enables localization of the underlying uncertainty of fuzzy grades in type-2 fuzzy sets through exploitation of shadowed sets. It provides a capable framework that despite preserving the uncertainties of fuzzy grades in type-2 fuzzy sets, adheres the simplicity of the concept and operations of interval type-2 fuzzy sets.

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Authors and Affiliations

  1. Department of Computer Science, Ryerson University, Toronto, ON, M5B 2K3, Canada

    Hooman Tahayori & Alireza Sadeghian

Authors
  1. Hooman Tahayori
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  2. Alireza Sadeghian
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Corresponding author

Correspondence to Hooman Tahayori .

Editor information

Editors and Affiliations

  1. , Department of Automation & Applied Infor, Aurel Vlaicu University of Arad, Blvd. Revolutiei 77, Arad, 310130, Romania

    Valentina Emilia Balas

  2. , Institute of Intelligent Engineering, Óbuda University, Népszínház u. 8, Budapest, 1081, Hungary

    János Fodor

  3. , Department of Mechatronics and, Óbuda University, Népszínház u. 8, Budapest, 1081, Hungary

    Annamária R. Várkonyi-Kóczy

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Tahayori, H., Sadeghian, A. (2013). Shadowed Fuzzy Sets: A Framework with More Freedom Degrees for Handling Uncertainties Than Interval Type-2 Fuzzy Sets and Lower Computational Complexity Than General Type-2 Fuzzy Sets. In: Balas, V., Fodor, J., Várkonyi-Kóczy, A. (eds) New Concepts and Applications in Soft Computing. Studies in Computational Intelligence, vol 417. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28959-0_6

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  • DOI: https://doi.org/10.1007/978-3-642-28959-0_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-28958-3

  • Online ISBN: 978-3-642-28959-0

  • eBook Packages: EngineeringEngineering (R0)

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