Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지

ON FUZZY IDBALS OF LIE ALGEBRAS

  • Jun, Young-Bae (Department of Mathematics Education, Gyeongsang National University) ;
  • Kim, Kyung-Ho (Department of Mathematics, Chungiu National University) ;
  • Roh, Eun-Hwan (Department of Mathematics Education, Chinju National University of Education)
  • Published : 2002.09.01

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Abstract

The fuzzification of an ideal in a Lie algebra is considered. Using a level subset of a fuzzy subset of a Lie algebra, we give a characterization of a fuzzy ideal, and using a family of ideals of a Lie algebra, we establish a fuzzy ideal. With relation to the ascending chain of ideals, a characterization for the set of values of any fuzzy ideal to be a well-ordered subset of the closed unit interval [0,1] is stated.

Keywords

References

  1. Introduction to Lie Algebras and Representation Theory J. E. Humphreys
  2. Fuzzy Sets and Systems v.80 Fuzzy ideals and fuzzy subalgebras of Lie algebras S. E. Yehia
  3. Fuzzy Sets and Systems v.119 The adjoint representation of fuzzy Lie algebras S. E. Yehia
  4. Information and Control v.8 Fuzzy sets L. A. Zadeh