Research Article
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H-GROUP STRUCTURE ON INTUITIONISTIC FUZZY TOPOLOGICAL SPACE

Year 2019, Volume: 2 Issue: 1, 89 - 97, 30.01.2019
https://doi.org/10.33773/jum.506510

Abstract

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.

References

  • 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.
Year 2019, Volume: 2 Issue: 1, 89 - 97, 30.01.2019
https://doi.org/10.33773/jum.506510

Abstract

References

  • 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.
There are 1 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Sibel Demiralp

Gülnur Haçat

Publication Date January 30, 2019
Submission Date January 2, 2019
Acceptance Date January 22, 2019
Published in Issue Year 2019 Volume: 2 Issue: 1

Cite

APA Demiralp, S., & Haçat, G. (2019). H-GROUP STRUCTURE ON INTUITIONISTIC FUZZY TOPOLOGICAL SPACE. Journal of Universal Mathematics, 2(1), 89-97. https://doi.org/10.33773/jum.506510
AMA Demiralp S, Haçat G. H-GROUP STRUCTURE ON INTUITIONISTIC FUZZY TOPOLOGICAL SPACE. JUM. January 2019;2(1):89-97. doi:10.33773/jum.506510
Chicago Demiralp, Sibel, and Gülnur Haçat. “H-GROUP STRUCTURE ON INTUITIONISTIC FUZZY TOPOLOGICAL SPACE”. Journal of Universal Mathematics 2, no. 1 (January 2019): 89-97. https://doi.org/10.33773/jum.506510.
EndNote Demiralp S, Haçat G (January 1, 2019) H-GROUP STRUCTURE ON INTUITIONISTIC FUZZY TOPOLOGICAL SPACE. Journal of Universal Mathematics 2 1 89–97.
IEEE S. Demiralp and G. Haçat, “H-GROUP STRUCTURE ON INTUITIONISTIC FUZZY TOPOLOGICAL SPACE”, JUM, vol. 2, no. 1, pp. 89–97, 2019, doi: 10.33773/jum.506510.
ISNAD Demiralp, Sibel - Haçat, Gülnur. “H-GROUP STRUCTURE ON INTUITIONISTIC FUZZY TOPOLOGICAL SPACE”. Journal of Universal Mathematics 2/1 (January 2019), 89-97. https://doi.org/10.33773/jum.506510.
JAMA Demiralp S, Haçat G. H-GROUP STRUCTURE ON INTUITIONISTIC FUZZY TOPOLOGICAL SPACE. JUM. 2019;2:89–97.
MLA Demiralp, Sibel and Gülnur Haçat. “H-GROUP STRUCTURE ON INTUITIONISTIC FUZZY TOPOLOGICAL SPACE”. Journal of Universal Mathematics, vol. 2, no. 1, 2019, pp. 89-97, doi:10.33773/jum.506510.
Vancouver Demiralp S, Haçat G. H-GROUP STRUCTURE ON INTUITIONISTIC FUZZY TOPOLOGICAL SPACE. JUM. 2019;2(1):89-97.