• DocumentCode
    3392730
  • Title

    On filters of pseudo MTL-algebras

  • Author

    Wei Wang

  • Author_Institution
    Dept. of Appl. Math., Xi´an Shiyou Univ., Xi´an, China
  • fYear
    2011
  • fDate
    19-22 Aug. 2011
  • Firstpage
    929
  • Lastpage
    932
  • Abstract
    We investigate the properties of filters in pseudo MTL-algebras and discuss the relations among several kinds of filters in pseudo MTL-algebras. By further investigating the structure of Boolean and normal filter of pseudo MTL-algebras, we give a positive answer to an open problem that in pseudo BL-algebras whether every Boolean filter is a normal filter.
  • Keywords
    Boolean algebra; fuzzy logic; Boolean filter; normal filter; pseudo BL-algebras; pseudo MTL-algebra filters; Filtering theory; Fuzzy logic; Fuzzy sets; Genetics; Lattices; Booleanfilter; Nonclassicallogics; filter; normalfilter; pseudo MTL-algebras; pseudoBL-algebras;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Mechatronic Science, Electric Engineering and Computer (MEC), 2011 International Conference on
  • Conference_Location
    Jilin
  • Print_ISBN
    978-1-61284-719-1
  • Type

    conf

  • DOI
    10.1109/MEC.2011.6025617
  • Filename
    6025617