Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
권호 표지
DOI QR코드

DOI QR Code

INTUITIONISTIC FUZZY LIE IDEALS OF LIE ALGERBAS

  • Jun, Young-Bae (Department of Mathematics Education and (RINS) Gyeongsang National University) ;
  • Park, Chul-Hwan (Department of Mathematics University of Ulsan)
  • Received : 2007.03.23
  • Accepted : 2007.04.24
  • Published : 2007.06.25
Download PDF
⟨ Previous Next ⟩

Abstract

The notion of intuitionistic fuzzy Lie ideal of a Lie algebra is introduced, and related properties are investigated. Characterizations of an intuitionistic fuzzy Lie ideal are provided. Using a collection of Lie ideals, an intuitionistic fuzzy Lie ideal is established.

Keywords

References

  1. K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1986), 87-96. https://doi.org/10.1016/S0165-0114(86)80034-3
  2. K. T. Atanassov, New operations defined over the intuitionistic fuzzy sets, Fuzzy Sets and Systems 61 (1994), 137-142. https://doi.org/10.1016/0165-0114(94)90229-1
  3. K. T. Atanassov, Intuitionistic fuzzy sets. Theory and applications, Studies in Fuzziness and Soft Computing, 35. Heidelberg; Physica-Verlag 1999.
  4. J. E. Humphreys, Introduction to Lie Algebras and Representation Theory, Springer-Verlag, New York, 1972.
  5. Y. B. Jun, K. H. Kim and E. H. Roh, On fuzzy ideals of Lie algebras, J. Appl. Math. Computing 10 (2002), no. 1-2, 251-259.
  6. S. E. Yehia, Fuzzy ideals and fuzzy subalgebras of Lie algebras, Fuzzy Sets and Systems 80 (1996), 237-244. https://doi.org/10.1016/0165-0114(95)00109-3
  7. S. E. Yehia, The adjoint representation of fuzzy Lie algebras, Fuzzy Sets and Systems 119 (2001), 409-417. https://doi.org/10.1016/S0165-0114(99)00069-X
  8. L. A. Zadeh, Fuzzy sets, Inform. Control 8 (1965), 338-353. https://doi.org/10.1016/S0019-9958(65)90241-X