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Aggregation Functions in Flexible Classification by Ordinal Sums

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27510%2F22%3A10250618" target="_blank" >RIV/61989100:27510/22:10250618 - isvavai.cz</a>

  • Result on the web

    <a href="https://ipmu2022.disco.unimib.it/proceedings/" target="_blank" >https://ipmu2022.disco.unimib.it/proceedings/</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/978-3-031-08971-8_31" target="_blank" >10.1007/978-3-031-08971-8_31</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Aggregation Functions in Flexible Classification by Ordinal Sums

  • Original language description

    The structure of ordinal sums of conjunctive and disjunctive functions is convenient for classification into the classes Yes, No and Maybe containing a tendency to the classes Yes and No. It especially holds when task is expressed by short vague requirements. The averaging part is covered by any averaging function. Concerning this part (class Maybe), functions having annihilator 0 usually are not suitable due to A(1, 0 ) = A(0, 1 ) = 0. The dual observation holds for functions having annihilator equal to 1. The classification by uninorms has reached to the same conclusion. This work proposes a parametric class of quasi-arithmetic means with the convex combination of the geometric mean and its dual geometric mean. Regarding classification into classes Yes and No, the parametrized family of nilpotent t-norms and t-conorms is proposed. This consideration creates the frame for learning function&apos;s parameter from the user inputs and labelled data. This research activity also contributes to the field of explainable computational intelligence. The results are supported by illustrative example. Finally, the discussion and the future research activities conclude the paper. (C) 2022, Springer Nature Switzerland AG.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    10200 - Computer and information sciences

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2022

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    Communications in Computer and Information Science. Volume 1601

  • ISBN

    978-3-031-08970-1

  • ISSN

    1865-0929

  • e-ISSN

    1865-0937

  • Number of pages

    12

  • Pages from-to

    372-383

  • Publisher name

    Springer

  • Place of publication

    Cham

  • Event location

    Milán

  • Event date

    Jul 11, 2022

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article