TY - JOUR T1 - On Fuzzy Sub-H-Group AU - Demiralp, Sibel AU - Haçat, Gülnur PY - 2018 DA - December JF - Turkish Journal of Mathematics and Computer Science JO - TJMCS PB - Matematikçiler Derneği WT - DergiPark SN - 2148-1830 SP - 126 EP - 133 VL - 10 LA - en AB - 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. KW - Fuzzy H-Space KW - Fuzzy Sub-H-Group KW - Fuzzy H-homomorphism KW - Fuzzy H-isomorphism CR - Chang, C. L.,Fuzzy topological spaces, Journal of mathematical Analysis and Applications, 24(1968),182–190. CR - Chang, Y. Z. and Wang Jin, L.,Fuzzy homotopy type invariance of fundamental group of fuzzy topological space,Fuzzy Math, 4(1984),53–56. CR - Chong-you, Z.,Fuzzy path and fuzzy connectedness, Fuzzy sets and Systems, 14.3(1984),273–280. CR - Demiralp, S.and Güner, E.,Some characterizations of Hopf group on fuzzy topological spaces,Iranian Journal of Fuzzy Systems,11.(6)(2014),111–121. CR - Dugundgi, J.,Topology,Allyn ans Boston, Boston, 1996. CR - Foster, D.H.,Fuzzy Topological Groups,J.Math.Anal.Appl.,67(1979),549–564. CR - Freyd, P.,Abelian Categories,Harper & Row, New York,1964. CR - 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. CR - Güner, E.,Fuzzy contractibility,Fac. Sci. Univ. Ank. Series A, 1,(2007)11-16. CR - Güner, E. and Balci, S.,On the fuzzy sheaf of the fundamental groups, Taiwanese Journal of Mathematics (2007)1057-1062. CR - Rosenfeld, A.,Fuzzy groups, J. Math. Anal. Appl., 35(1971),512–517. CR - Spainer, E.H.,Algebraic Topology,Springer,Verlag, 1994. CR - Zadeh, L. A.,Fuzzy Sets,Information and control,8,(1965),3. UR - https://dergipark.org.tr/en/pub/tjmcs/issue//453115 L1 - https://dergipark.org.tr/en/download/article-file/615239 ER -