Research Article
BibTex RIS Cite

Minimal intuitionistic open and maximal intuitionistic open sets

Year 2020, Volume: 38 Issue: 1, 480 - 490, 27.03.2020

Abstract

In intuitionistic topological space, we introduce the concepts of minimal intuitionistic open and maximal intuitionistic open sets. Also, we give some of their basic properties. Regarding these sets, we introduce and study some generalizations of intuitionistic continuous functions.

References

  • [1] Bayhan, S. and Çoker, D., (2001) On separation axioms in intuitionistic topological spaces, IJMMS, 27(10), 621- 630.
  • [2] Chetana, C. and Naganagouda, K., (2017) Soft minimal continuous and soft maximal continuous maps in soft topological spaces, Global Journal of Pure and Applied Mathematics, 13(7), 3033- 3047.
  • [3] Çoker, D., (1996) A note on intuitionistic sets and intuitionistic points, Tr. J. of Mathematics, 20, 343- 351.
  • [4] Çoker, D., (2000) An introduction to intuitionistic topological spaces, BUSEFAL, 81, 51- 56.
  • [5] Hazra, H., Majumdar, P. and Samanta, S.K., (2012) Soft Topology, Fuzzy Inf. Eng., 1 105- 115.
  • [6] Kim, J. H., Lim, P.K., Lee, J. G. and Hur, K., (2018) Intuitionistic topological spaces, Ann. Fuzzy Math. Inform., 15(1), 29- 46.
  • [7] Lee, J. G., Lim, P. K., Kim, J. H. and Hur, K., (2018) Intuitionistic continuous, closed and open mappings, Ann. Fuzzy Math. Inform., 15(2), 101- 122.
  • [8] Naganagouda, K. and Chetana, C., (2015) Soft minimal open sets and soft maximal open sets in soft topological spaces, Mathematical Sciences Research Journal, 4(2), 149- 155.
  • [9] Nakaoka, F. and Oda, N., (2001) Some applications of minimal open sets, IJMMS, 27(8), 471- 476.
  • [10] Nakaoka, F. and Oda, N., (2003) Some properties of maximal open sets, IJMMS, 2003(21), 1331- 1340.
  • [11] Roy, B. and Sen, R., (2012) On maximal μ-open and minimal μ-closed sets via generalized topology, Acta Math. Hungar., 136(4), 233- 239.
  • [12] Selvanayaki, S. and Ilango, G., (2016) Homeomorphism on intuitionistic topological spaces, Ann. Fuzzy Math. Inform., 11(6), 957-966
There are 12 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Research Articles
Authors

Esra Dalan Yıldırım This is me 0000-0002-6553-771X

Ayşegül Çaksu Güler This is me 0000-0002-6811-9919

Oya Bedre Özbakır This is me 0000-0002-6582-4460

Publication Date March 27, 2020
Submission Date September 30, 2019
Published in Issue Year 2020 Volume: 38 Issue: 1

Cite

Vancouver Dalan Yıldırım E, Çaksu Güler A, Bedre Özbakır O. Minimal intuitionistic open and maximal intuitionistic open sets. SIGMA. 2020;38(1):480-9.

IMPORTANT NOTE: JOURNAL SUBMISSION LINK https://eds.yildiz.edu.tr/sigma/