On Fuzzy Connectedness

  • 이재익 (동ㅅ대학교 정보시스템공학부) ;
  • 서갑선 (부산대학교 대학원 수학과 석사)
  • Published : 1998.06.01

Abstract

If there exists a fuzzy continuous function from a fuzzy topological space (X, T) onto the discrete fuzzy toplogical space with two elements, then the space (X, T) is fuzzy disconnected. However, the converse is not true at all. We introduce an example for this and suggest a sufficient condition for which the converse holds.

Keywords

References

  1. Jour.Math.Anal.and Appl. v.24 Fuzzy topological spaces C.L.Chang
  2. Information and Control v.8 Fuzzy sets L.A.Zadeh
  3. Fuzzy Sets and Systems v.14 Fuzzy path and fuzzy connectedness C.Zheng
  4. Jour.Math.Anal.and Appl. v.46 Fuzzy points and local properties of fuzzy topology C.K.Wong
  5. Jour.Math.Anal.and Appl. v.110 Fuzzy tological spaces C.Hy