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Toward General Type-2 Fuzzy Logic Systems Based on Shadowed Sets

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Advances in Fuzzy Logic and Technology 2017 (EUSFLAT 2017, IWIFSGN 2017)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 642))

Abstract

This paper presents a novel methodology to obtain the shadowed set for all the secondary membership functions embedded in a general type-2 membership function. In this paper we present an approach to obtain the shadowed set for a Triangular and a Gaussian membership function. The idea is to model and perform a general type-2 fuzzy system based on shadowed type-2 fuzzy sets. The results are compared against the performance when a general type fuzzy inference system is approximate using on α-planes.

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Authors and Affiliations

  1. Division of Graduate Studies, Tijuana Institute of Technology, Tijuana, Mexico

    Claudia I. Gonzalez, Patricia Melin & Oscar Castillo

  2. Autonomous University of Baja California, Tijuana, Mexico

    Daniela Juarez & Juan R. Castro

Authors
  1. Claudia I. Gonzalez
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  2. Patricia Melin
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  3. Oscar Castillo
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  4. Daniela Juarez
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  5. Juan R. Castro
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Corresponding author

Correspondence to Oscar Castillo .

Editor information

Editors and Affiliations

  1. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Janusz Kacprzyk

  2. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Eulalia Szmidt

  3. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Slawomir Zadrożny

  4. Department of Telecommunications and Information Processing, Bulgarian Academy of Sciences, Sofia, Bulgaria

    K. T. Atanassov

  5. WIT - Warsaw School of Information Technology, Warsaw, Poland

    Maciej Krawczak

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Gonzalez, C.I., Melin, P., Castillo, O., Juarez, D., Castro, J.R. (2018). Toward General Type-2 Fuzzy Logic Systems Based on Shadowed Sets. In: Kacprzyk, J., Szmidt, E., Zadrożny, S., Atanassov, K., Krawczak, M. (eds) Advances in Fuzzy Logic and Technology 2017. EUSFLAT IWIFSGN 2017 2017. Advances in Intelligent Systems and Computing, vol 642. Springer, Cham. https://doi.org/10.1007/978-3-319-66824-6_12

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  • DOI: https://doi.org/10.1007/978-3-319-66824-6_12

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-66823-9

  • Online ISBN: 978-3-319-66824-6

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