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Set-based extended aggregation functions

Result description

Inspired by the Zadeh approach to fuzzy connectives in fuzzy set theory and by some applications, we introduce and study set-based extended functions, and in particular, set-based extended aggregation functions. These functions reflect neither reordering nor repetition of input values, and, linking different arities, they introduce serious constraints for extended functions. A complete characterization of set-based extended (aggregation) functions is given, and some constructions of such functions are also proposed, including several examples.

Keywords

set-based extended functionset-based extended aggregation functionextended functionextended aggregation functionaggregation function

The result's identifiers

Alternative languages

  • Result language

    angličtina

  • Original language name

    Set-based extended aggregation functions

  • Original language description

    Inspired by the Zadeh approach to fuzzy connectives in fuzzy set theory and by some applications, we introduce and study set-based extended functions, and in particular, set-based extended aggregation functions. These functions reflect neither reordering nor repetition of input values, and, linking different arities, they introduce serious constraints for extended functions. A complete characterization of set-based extended (aggregation) functions is given, and some constructions of such functions are also proposed, including several examples.

  • Czech name

  • Czech description

Classification

  • Type

    Jimp - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Result continuities

Others

  • Publication year

    2019

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS

  • ISSN

    0884-8173

  • e-ISSN

  • Volume of the periodical

    34

  • Issue of the periodical within the volume

    9

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    16

  • Pages from-to

    2039-2054

  • UT code for WoS article

    000477291700001

  • EID of the result in the Scopus database

    2-s2.0-85070187437

Basic information

Result type

Jimp - Article in a specialist periodical, which is included in the Web of Science database

Jimp

OECD FORD

Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Year of implementation

2019