• DocumentCode
    2039614
  • Title

    Categories of the 4-valued inverse order nested sets

  • Author

    Gao Ke-quan ; Xiao-shen, Li ; Yuan Xue-hai

  • Author_Institution
    Sch. of Math. Stat., Henan Univ. of Sci. & Technol., Luoyang, China
  • Volume
    1
  • fYear
    2010
  • fDate
    10-12 Aug. 2010
  • Firstpage
    129
  • Lastpage
    133
  • Abstract
    In this paper, the connection of the 4-valued inverse order nested sets and topos theory is considered. The category QNS of the 4-valued inverse order nested sets is constructed. It is shown that in the category QNS exist Equalizers, Finite Products, Terminal Objects, Exponentials and Subobject Classifiers. Consequently the category QNS forms a topos.
  • Keywords
    fuzzy set theory; set theory; 4-valued inverse order nested sets; finite products; subobject classifiers; terminal objects; topos theory;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Fuzzy Systems and Knowledge Discovery (FSKD), 2010 Seventh International Conference on
  • Conference_Location
    Yantai, Shandong
  • Print_ISBN
    978-1-4244-5931-5
  • Type

    conf

  • DOI
    10.1109/FSKD.2010.5569728
  • Filename
    5569728
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2039614