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Minimal intuitionistic open and maximal intuitionistic open sets

Yıl 2020, Cilt: 38 Sayı: 1, 480 - 490, 27.03.2020

Öz

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.

Kaynakça

  • [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
Yıl 2020, Cilt: 38 Sayı: 1, 480 - 490, 27.03.2020

Öz

Kaynakça

  • [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
Toplam 12 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Research Articles
Yazarlar

Esra Dalan Yıldırım Bu kişi benim 0000-0002-6553-771X

Ayşegül Çaksu Güler Bu kişi benim 0000-0002-6811-9919

Oya Bedre Özbakır Bu kişi benim 0000-0002-6582-4460

Yayımlanma Tarihi 27 Mart 2020
Gönderilme Tarihi 30 Eylül 2019
Yayımlandığı Sayı Yıl 2020 Cilt: 38 Sayı: 1

Kaynak Göster

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/