• DocumentCode
    3315397
  • Title

    On a class of Fuzzy Set Theories

  • Author

    Trillas, Enric ; Alsina, Claudi ; Pradera, Ana

  • Author_Institution
    Eur. Centre for Soft Comput., Mieres
  • fYear
    2007
  • fDate
    23-26 July 2007
  • Firstpage
    1
  • Lastpage
    5
  • Abstract
    This paper studies the main properties of a broad class of Fuzzy Set Theories that we call Minimal Fuzzy Set Theories. We investigate the fulfillment of well-known properties, such as idempotency or the existence of absorbent elements. The paper shows, in particular, that these theories do always verify the Kleene´s law, as well as the Non-Contradiction and Excluded-Middle principles when these are understood as in ancient logic.
  • Keywords
    fuzzy logic; fuzzy set theory; Kleene´s law verification; ancient logic; excluded-middle principles; minimal fuzzy set theory; noncontradiction principles; Concrete; Fuzzy set theory; Fuzzy sets; Lattices; Logic; Proposals;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Fuzzy Systems Conference, 2007. FUZZ-IEEE 2007. IEEE International
  • Conference_Location
    London
  • ISSN
    1098-7584
  • Print_ISBN
    1-4244-1209-9
  • Electronic_ISBN
    1098-7584
  • Type

    conf

  • DOI
    10.1109/FUZZY.2007.4295351
  • Filename
    4295351
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3315397