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  3. Formalized Mathematics
  4. Formalized Mathematics, 2004, Volume 12, Issue 1

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    • Proszę używać tego identyfikatora do cytowań lub wstaw link do tej pozycji: http://hdl.handle.net/11320/21450
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    Pole DCWartośćJęzyk
    dc.contributor.authorMitsuishi, Takashi-
    dc.contributor.authorBancerek, Grzegorz-
    dc.date.accessioned2026-11-06T09:29:59Z-
    dc.date.available2026-11-06T09:29:59Z-
    dc.date.issued2004-
    dc.identifier.citationFormalized Mathematics, Volume 12, Issue 1, Pages 15-20pl
    dc.identifier.issn1426-2630-
    dc.identifier.urihttp://hdl.handle.net/11320/21450-
    dc.description.sponsorshipThis work has been partially supported by the Polish Academy of Sciences and the Japan Society for the Promotion of Science (JSPS Grant 0324101 and JSPS Grant-in-aid 15700195) when the first author was visiting Białystok Technical University as postdoctoral fellow.pl
    dc.language.isoenpl
    dc.publisherUniversity of Białystokpl
    dc.rightsCC BY-SA 4.0-
    dc.rights.urihttps://creativecommons.org/licenses/by-sa/4.0/-
    dc.titleTransitive Closure of Fuzzy Relationspl
    dc.typeArticlepl
    dc.rights.holder© 2005 University of Białystokpl
    dc.rights.holderThis work is licensed under the Creative Commons License.pl
    dc.description.AffiliationTakashi Mitsuishi - Miyagi Universitypl
    dc.description.AffiliationGrzegorz Bancerek - Białystok Technical Universitypl
    dc.description.referencesGrzegorz Bancerek. K¨onig’s theorem. Formalized Mathematics, 1(3):589–593, 1990.pl
    dc.description.referencesGrzegorz Bancerek. The ordinal numbers. Formalized Mathematics, 1(1):91–96, 1990.pl
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    dc.description.referencesGrzegorz Bancerek. Bounds in posets and relational substructures. Formalized Mathematics, 6(1):81–91, 1997.pl
    dc.description.referencesGrzegorz Bancerek. Directed sets, nets, ideals, filters, and maps. Formalized Mathematics, 6(1):93–107, 1997.pl
    dc.description.referencesCzesław Byliński. Basic functions and operations on functions. Formalized Mathematics, 1(1):245–254, 1990.pl
    dc.description.referencesCzesław Byliński. Functions and their basic properties. Formalized Mathematics, 1(1):55–65, 1990.pl
    dc.description.referencesCzesław Byliński. Functions from a set to a set. Formalized Mathematics, 1(1):153–164, 1990.pl
    dc.description.referencesCzesław Byliński. Partial functions. Formalized Mathematics, 1(2):357–367, 1990.pl
    dc.description.referencesCzesław Byliński. Some basic properties of sets. Formalized Mathematics, 1(1):47–53, 1990.pl
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    dc.description.referencesNoboru Endou, Takashi Mitsuishi, and Keiji Ohkubo. Properties of fuzzy relation. Formalized Mathematics, 9(4):691–695, 2001.pl
    dc.description.referencesAdam Grabowski and Robert Milewski. Boolean posets, posets under inclusion and products of relational structures. Formalized Mathematics, 6(1):117–121, 1997.pl
    dc.description.referencesJarosław Kotowicz. Real sequences and basic operations on them. Formalized Mathematics, 1(2):269–272, 1990.pl
    dc.description.referencesTakashi Mitsuishi and Grzegorz Bancerek. Lattice of fuzzy sets. Formalized Mathematics, 11(4):393–398, 2003.pl
    dc.description.referencesTakashi Mitsuishi, Noboru Endou, and Yasunari Shidama. The concept of fuzzy set and membership function and basic properties of fuzzy set operation. Formalized Mathematics, 9(2):351–356, 2001.pl
    dc.description.referencesTakashi Mitsuishi, Katsumi Wasaki, and Yasunari Shidama. The concept of fuzzy relation and basic properties of its operation. Formalized Mathematics, 9(3):517–524, 2001.pl
    dc.description.referencesKonrad Raczkowski and Paweł Sadowski. Topological properties of subsets in real numbers. Formalized Mathematics, 1(4):777–780, 1990.pl
    dc.description.referencesAndrzej Trybulec. Subsets of complex numbers. To appear in Formalized Mathematics.pl
    dc.description.referencesAndrzej Trybulec. Domains and their Cartesian products. Formalized Mathematics, 1(1):115–122, 1990.pl
    dc.description.referencesAndrzej Trybulec. Tarski Grothendieck set theory. Formalized Mathematics, 1(1):9–11, 1990.pl
    dc.description.referencesAndrzej Trybulec and Czesław Byliński. Some properties of real numbers. Formalized Mathematics, 1(3):445–449, 1990.pl
    dc.description.referencesZinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67–71, 1990.pl
    dc.description.referencesEdmund Woronowicz. Relations and their basic properties. Formalized Mathematics, 1(1):73–83, 1990.pl
    dc.description.referencesEdmund Woronowicz. Relations defined on sets. Formalized Mathematics, 1(1):181–186, 1990.pl
    dc.description.referencesEdmund Woronowicz and Anna Zalewska. Properties of binary relations. Formalized Mathematics, 1(1):85–89, 1990.pl
    dc.description.volume12pl
    dc.description.issue1pl
    dc.description.firstpage15pl
    dc.description.lastpage20pl
    dc.identifier.citation2Formalized Mathematicspl
    Występuje w kolekcji(ach):Formalized Mathematics, 2004, Volume 12, Issue 1

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