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Scales behind computational intelligence: exploring properties of finite lattices

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F07%3A00003614" target="_blank" >RIV/61989592:15310/07:00003614 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Scales behind computational intelligence: exploring properties of finite lattices

  • Original language description

    Finite lattices are fundamental structures which can be found in many fields of information science and computational intelligence: data analysis, data mining, multiple-valued logics, fuzzy logics, hierarchical modelling, graph theory, combinatorics, etc. Surprisingly, not much attention has been paid to structural properties of finite lattices. In this paper we study properties of finite lattices up to eleven elements. We present algorithms for generating non-isomorphic finite lattices up to a given size. We propose heuristic tests of non-isomorphism of finite lattices and examine their performance. We present a summary of selected properties of finite lattices.

  • Czech name

    Škály ve výpočetní inteligenci: průzkum vlastností konečných svazů

  • Czech description

    Zkoumáme konečné svazy a jejich vlastnosti. Navrhujeme algoritmy na generování konečných svazů a heuristický test isomorfismu. Vygenerujeme všechny svazy (až za isomorfismus) do řádu 11 a pak prezentujeme souhrn jejich vlastností (například průměrných nebo extrémních vlastností).

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BD - Information theory

  • OECD FORD branch

Result continuities

  • Project

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2007

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Proceedings of the 2007 IEEE Symposium Series on Computational Intelligence

  • ISBN

    1-4244-0698-6

  • ISSN

  • e-ISSN

  • Number of pages

    8

  • Pages from-to

    556-563

  • Publisher name

    IEEE Computer Society Press

  • Place of publication

    New York

  • Event location

  • Event date

  • Type of event by nationality

  • UT code for WoS article