H-GROUP STRUCTURE ON INTUITIONISTIC FUZZY TOPOLOGICAL SPACE

Yıl 2019, Cilt: 2 Sayı: 1, 89 - 97, 30.01.2019

Sibel Demiralp , Gülnur Haçat

https://doi.org/10.33773/jum.506510

Öz

In this study we investigate some properties of the pointed
intuitionistic fuzzy topological spaces. Then some properties of intuitionistic fuzzy loop spaces are investigated Finally it is shown that an intuitionistic
fuzzy loop space is an H-group.

Anahtar Kelimeler

H-group, Intuitionistic fuzzy topological space, Pointed intuitionistic fuzzy topological spaces, Intuitionistic fuzzy loop space

Kaynakça

• Atanassov, Krassimir T., Intuitionistic fuzzy sets, Intuitionistic Fuzzy Sets. Physica, Heidelberg, 1-137, 1999.Az-Zo'bi, E. A., Marashdeh, M.F., Uzbashy, R.F., The Fundamental Group of Intuitionistic Fuzzy Topological Spaces, Applied Mathematical Sciences, 8.157, 7829-7843, 2014.Çitil, M., Çuvalcıoğlu, G., On intuitionistic fuzzy homotopy theory, NIFS, 2, 31-36, 2014.Çoker, D., An introduction to intuitionistic fuzzy topological spaces, Fuzzy sets and systems, 88(1), 81-89, 1997.Ganster, M., Georgiou, D. N., Jafari, S., On fuzzy topological groups and fuzzy continuous functions, Hacettepe Journal of Mathematics and Statistics, 34, 35-43, 2005.Hatcher, A., H-spaces and Hopf Algebras, Algebraic Topology, Cambridge University Press, Cambridge, New York, 2001.Hur, Kul, Jun-Hui Kim, Jang-Hyun Ryou, Intuitionistic fuzzy topological spaces, The Pure and Applied Mathematics, 11.3, 243-265, 2004.Padmapriya, S., Uma, M. K., Roja, E. , A study on intuitionistic fuzzy topological groups, Ann. Fuzzy Math. Inform, 76, 991-1004, 2014.Santhi, R., Jayanthi, D., Intuitionistic fuzzy generalized semi-pre closed mappings, NIFS, 16(3), 28-39, 2010.Zadeh, Lot_ A., Fuzzy sets, Fuzzy Sets, Fuzzy Logic, And Fuzzy Systems: Selected Papers by Lot_ A Zadeh, 394-432, 1965.