• DocumentCode
    2098780
  • Title

    Interval Valued Fuzzy Filters of Lattice Implication Algebras

  • Author

    Jiayin, Peng

  • Author_Institution
    Key Lab. of Numerical Simulatioin of Sichuan Provice, Neijiang Normal Univ., Neijiang, China
  • fYear
    2011
  • fDate
    17-18 Sept. 2011
  • Firstpage
    273
  • Lastpage
    276
  • Abstract
    The concept of quasi-coincidence of a fuzzy point with a fuzzy set is extended to the concept of quasi-coincidence of a fuzzy interval value with an interval valued fuzzy set. By using this new idea, the notions of interval valued (∈, ∈ ⋁q)-fuzzy filters in lattice implication algebras which is a generalization of ordinary fuzzy filters of lattice implication algebras, is defined, and their related properties and equivalent description are given. In particular, the concept of a fuzzy subgroup with thresholds is generalized to the concept of an interval valued fuzzy filter with thresholds in lattice implication algebras.
  • Keywords
    algebra; fuzzy set theory; Interval valued fuzzy filters; equivalent description; fuzzy point; fuzzy set theory; lattice implication algebras; Educational institutions; Filtering theory; Fuzzy sets; Information filters; Lattices; (?; ? V­q)-fuzzy filter; fuzzy interval value; interval valued fuzzy filter with thresholds; lattice implication algebra; quasi-coincidence;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Internet Computing & Information Services (ICICIS), 2011 International Conference on
  • Conference_Location
    Hong Kong
  • Print_ISBN
    978-1-4577-1561-7
  • Type

    conf

  • DOI
    10.1109/ICICIS.2011.73
  • Filename
    6063249
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2098780