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On generating of idempotent aggregation functions on finite lattices

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F18%3A73591715" target="_blank" >RIV/61989592:15310/18:73591715 - isvavai.cz</a>

  • Result on the web

    <a href="https://www.sciencedirect.com/science/article/pii/S0020025516316164" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0020025516316164</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.ins.2017.11.031" target="_blank" >10.1016/j.ins.2017.11.031</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    On generating of idempotent aggregation functions on finite lattices

  • Original language description

    In a recent paper [9] we proposed the study of aggregation functions on lattices via clone theory approach. Observing that aggregation functions on lattices just correspond to 0,1-monotone clones, as the main result of [9], we have shown that all aggregation functions on a finite lattice L can be obtained as usual composition of lattice operations boolean AND, boolean OR, and certain unary and binary aggregation functions. The aim of this paper is to present a generating set for the class of intermediate (or, equivalently, idempotent) aggregation functions. This set consists of lattice operations and certain ternary idempotent aggregation functions. (C) 2017 Elsevier Inc. All rights reserved.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - 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

  • Project

    <a href="/en/project/GF15-34697L" target="_blank" >GF15-34697L: New perspectives on residuated posets</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2018

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    INFORMATION SCIENCES

  • ISSN

    0020-0255

  • e-ISSN

  • Volume of the periodical

    430-431

  • Issue of the periodical within the volume

    MAR

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    7

  • Pages from-to

    39-45

  • UT code for WoS article

    000424174700003

  • EID of the result in the Scopus database

    2-s2.0-85035354100