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On the Relationship Between the Centroid and the Footprint of Uncertainty of Interval Type-2 Fuzzy Numbers

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    0532657 - ÚI 2021 RIV US eng C - Conference Paper (international conference)
    Figueroa-Garcia, J.C. - Neruda, Roman - Chalco-Cano, Y. - Roman-Flores, H.
    On the Relationship Between the Centroid and the Footprint of Uncertainty of Interval Type-2 Fuzzy Numbers.
    2020 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE). Piscataway: IEEE, 2020, č. článku 9177600. ISBN 978-1-7281-6932-3.
    [FUZZ 2020: IEEE International Conference on Fuzzy Systems. Glasgow (GB), 19.07.2020-24.07.2020]
    R&D Projects: GA ČR(CZ) GA18-23827S
    Institutional support: RVO:67985807
    Keywords : Type-2 fuzzy numbers * K-M algorithm * centroid
    OECD category: Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

    This paper presents experimental results about the relationship between the Footprint Of Uncertainty (FOU) and the centroid of Interval Type-2 Fuzzy Numbers (IT2FN) which are a subclass of Type-2 fuzzy numbers. Four types of IT2FNs are analyzed: singleton-core triangular, interval-core triangular, singleton-core Gaussian and interval-core Gaussian IT2FNs. A quadratic relationship was detected, characterized, and their results are presented and discussed using numerical experiments.
    Permanent Link: http://hdl.handle.net/11104/0311087

     
     
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