• DocumentCode
    635819
  • Title

    α-ideals of fuzzy lattices

  • Author

    Mezzomo, Ivan ; Bedregal, Benjamin ; Santiago, Regivan H. N.

  • Author_Institution
    Dept. of Math. Sci., Technol. & Human-DCETH, Rural Fed. Univ. of SemiArid-UFERSA, Angicos, Brazil
  • fYear
    2013
  • fDate
    24-28 June 2013
  • Firstpage
    157
  • Lastpage
    162
  • Abstract
    We consider the fuzzy lattice notion introduced by Chon (Korean J. Math 17 (2009), No. 4, 361-374), define an α-ideals and α-filters for fuzzy lattices and characterize α-ideals and α-filters of fuzzy lattices by using its support and its level set. Moreover, we prove some similar properties to the classical theory of α-ideals and α-filters, such as, the class of α-ideals and α-filters are closed under union and intersection.
  • Keywords
    fuzzy set theory; α-filters; α-ideals; fuzzy lattice notion; intersection; level set; union; Educational institutions; Electronic mail; Informatics; Lattices; Level set; Upper bound;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS), 2013 Joint
  • Conference_Location
    Edmonton, AB
  • Type

    conf

  • DOI
    10.1109/IFSA-NAFIPS.2013.6608392
  • Filename
    6608392