Conference Paper
BibTex RIS Cite

On Fuzzy Sub-H-Group

Year 2018, Volume: 10, 126 - 133, 29.12.2018

Abstract

In this paper we introduce fuzzy sub-H-group and give some examples. We show that there exist a natural transformation between [Y,Z] and [X,Z] where Y is a fuzzy sub-H-group of X. Also we prove that if Y is a fuzzy subspace of X, then Y is a fuzzy sub-H-group of X.

References

  • Chang, C. L.,Fuzzy topological spaces, Journal of mathematical Analysis and Applications, 24(1968),182–190.
  • Chang, Y. Z. and Wang Jin, L.,Fuzzy homotopy type invariance of fundamental group of fuzzy topological space,Fuzzy Math, 4(1984),53–56.
  • Chong-you, Z.,Fuzzy path and fuzzy connectedness, Fuzzy sets and Systems, 14.3(1984),273–280.
  • Demiralp, S.and Güner, E.,Some characterizations of Hopf group on fuzzy topological spaces,Iranian Journal of Fuzzy Systems,11.(6)(2014),111–121.
  • Dugundgi, J.,Topology,Allyn ans Boston, Boston, 1996.
  • Foster, D.H.,Fuzzy Topological Groups,J.Math.Anal.Appl.,67(1979),549–564.
  • Freyd, P.,Abelian Categories,Harper & Row, New York,1964.
  • Gümüs S. and Yildiz C., The Fuzzy Sheaf of the Groups Formed by Fuzzy Topological Space,Int.Jorn. of Pure and Appl. Math.,37.(1),(2007),101–112.
  • Güner, E.,Fuzzy contractibility,Fac. Sci. Univ. Ank. Series A, 1,(2007)11-16.
  • Güner, E. and Balci, S.,On the fuzzy sheaf of the fundamental groups, Taiwanese Journal of Mathematics (2007)1057-1062.
  • Rosenfeld, A.,Fuzzy groups, J. Math. Anal. Appl., 35(1971),512–517.
  • Spainer, E.H.,Algebraic Topology,Springer,Verlag, 1994.
  • Zadeh, L. A.,Fuzzy Sets,Information and control,8,(1965),3.
Year 2018, Volume: 10, 126 - 133, 29.12.2018

Abstract

References

  • Chang, C. L.,Fuzzy topological spaces, Journal of mathematical Analysis and Applications, 24(1968),182–190.
  • Chang, Y. Z. and Wang Jin, L.,Fuzzy homotopy type invariance of fundamental group of fuzzy topological space,Fuzzy Math, 4(1984),53–56.
  • Chong-you, Z.,Fuzzy path and fuzzy connectedness, Fuzzy sets and Systems, 14.3(1984),273–280.
  • Demiralp, S.and Güner, E.,Some characterizations of Hopf group on fuzzy topological spaces,Iranian Journal of Fuzzy Systems,11.(6)(2014),111–121.
  • Dugundgi, J.,Topology,Allyn ans Boston, Boston, 1996.
  • Foster, D.H.,Fuzzy Topological Groups,J.Math.Anal.Appl.,67(1979),549–564.
  • Freyd, P.,Abelian Categories,Harper & Row, New York,1964.
  • Gümüs S. and Yildiz C., The Fuzzy Sheaf of the Groups Formed by Fuzzy Topological Space,Int.Jorn. of Pure and Appl. Math.,37.(1),(2007),101–112.
  • Güner, E.,Fuzzy contractibility,Fac. Sci. Univ. Ank. Series A, 1,(2007)11-16.
  • Güner, E. and Balci, S.,On the fuzzy sheaf of the fundamental groups, Taiwanese Journal of Mathematics (2007)1057-1062.
  • Rosenfeld, A.,Fuzzy groups, J. Math. Anal. Appl., 35(1971),512–517.
  • Spainer, E.H.,Algebraic Topology,Springer,Verlag, 1994.
  • Zadeh, L. A.,Fuzzy Sets,Information and control,8,(1965),3.
There are 13 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Articles
Authors

Sibel Demiralp 0000-0002-3977-587X

Gülnur Haçat 0000-0001-7343-8466

Publication Date December 29, 2018
Published in Issue Year 2018 Volume: 10

Cite

APA Demiralp, S., & Haçat, G. (2018). On Fuzzy Sub-H-Group. Turkish Journal of Mathematics and Computer Science, 10, 126-133.
AMA Demiralp S, Haçat G. On Fuzzy Sub-H-Group. TJMCS. December 2018;10:126-133.
Chicago Demiralp, Sibel, and Gülnur Haçat. “On Fuzzy Sub-H-Group”. Turkish Journal of Mathematics and Computer Science 10, December (December 2018): 126-33.
EndNote Demiralp S, Haçat G (December 1, 2018) On Fuzzy Sub-H-Group. Turkish Journal of Mathematics and Computer Science 10 126–133.
IEEE S. Demiralp and G. Haçat, “On Fuzzy Sub-H-Group”, TJMCS, vol. 10, pp. 126–133, 2018.
ISNAD Demiralp, Sibel - Haçat, Gülnur. “On Fuzzy Sub-H-Group”. Turkish Journal of Mathematics and Computer Science 10 (December 2018), 126-133.
JAMA Demiralp S, Haçat G. On Fuzzy Sub-H-Group. TJMCS. 2018;10:126–133.
MLA Demiralp, Sibel and Gülnur Haçat. “On Fuzzy Sub-H-Group”. Turkish Journal of Mathematics and Computer Science, vol. 10, 2018, pp. 126-33.
Vancouver Demiralp S, Haçat G. On Fuzzy Sub-H-Group. TJMCS. 2018;10:126-33.