• DocumentCode
    2823789
  • Title

    Intuitionistic Fuzzy Lie Sub-superalgebras and Ideals of Lie Superalgebras

  • Author

    Chen, Wenjuan

  • Author_Institution
    Sch. of Math., Shandong Univ., Jinan, China
  • Volume
    2
  • fYear
    2009
  • fDate
    24-26 April 2009
  • Firstpage
    841
  • Lastpage
    845
  • Abstract
    In order to show the applications of intuitionistic fuzzy sets and generalize the concepts of fuzzy Lie sub-super algebras and fuzzy ideals of Lie superalgebras, the theory of intuitionistic fuzzy Lie superalgebras is introduced in this paper. By defining Z2-graded intuitionistic fuzzy vector subspaces, intuitionistic fuzzy Lie sub-superalgebras and intuitionistic fuzzy ideals of a Lie superalgebra are given. Some examples are utilized to show the definitions of intuitionistic fuzzy Lie sub-superalgebras and intuitionistic fuzzy ideals. The relations between intuitionistic fuzzy Lie sub-superalgebras (intuitionistic fuzzy ideals) and Lie sub-superalgebras (ideals) are also investigated.
  • Keywords
    Lie algebras; fuzzy set theory; Z2-graded intuitionistic fuzzy vector subspace; fuzzy set; intuitionistic fuzzy lie subsuperalgebra; Abstract algebra; Application software; Computer science; Fuzzy set theory; Fuzzy sets; Mathematics; Polynomials;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computational Sciences and Optimization, 2009. CSO 2009. International Joint Conference on
  • Conference_Location
    Sanya, Hainan
  • Print_ISBN
    978-0-7695-3605-7
  • Type

    conf

  • DOI
    10.1109/CSO.2009.399
  • Filename
    5194075
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2823789