A New Form Of Continuity In Fuzzy Soft Topological Spaces

Authors

  • Sandhy G Venkatachala Rao Department of Mathematics Global Academy of Technology, Bengaluru, India
  • Anil P Narappanavar Department of Mathematics Global Academy of Technology, Bengaluru, India
  • P G Patil Department of Mathematics Karnatak University, Dharwad-580003

DOI:

https://doi.org/10.23755/rm.v43i0.647

Keywords:

fuzzy soft (fs) open set, fs semi-open set, fs pre-open set, fs b-open set, fs continuous functions.

Abstract

The current work introduces a new class of fuzzy soft B continuous functions such as slightly b continuous, semi b continuous, pre b continuous functions and their relation withthe existing fuzzy soft continuous functions in fuzzy soft topological spaces. Further optimal definitions of totally b continuous functions have also been brought out in the paper. A new space such as fuzzy soft b compact space is also initiated.

Author Biographies

  • Sandhy G Venkatachala Rao, Department of Mathematics Global Academy of Technology, Bengaluru, India

    Assistant Professor

    Department of Mathematics
    Global Academy of Technology, Bengaluru, India

  • Anil P Narappanavar, Department of Mathematics Global Academy of Technology, Bengaluru, India

    Professor

    Department of Mathematics
    Global Academy of Technology, Bengaluru, India


  • P G Patil, Department of Mathematics Karnatak University, Dharwad-580003
    Professo

    Department of Mathematics
    Karnatak University, Dharwad-580003

References

S.E Abbas, EI-sayed EI-sanowsy, A-Atef, "Connectedness in Fuzzy Soft Topological Spaces," Boletim da Sociedade Brasileira de Matem´atica, Vol.50(2), 587-601, (2018).

Anil P. N, "Fuzzy soft B-open sets in fuzzy soft topological space," International Journal of Science, Technology and Engineering, Vol. 3(2), 277-279, (2016).

Anil P. N., Sandhya G. V. and Patil P. G., "A new class of continuous functions in fuzzy soft topological spaces," Journal of Computer and Mathematical Sciences, Vol.9(10), 1341-1349, (2018).

Chang C. L., "Fuzzy topological spaces," Journal of Mathematical Analysis and Applications, Vol.24(1), 182-190, (1968).

I. Ibedou and S.E. Abbas, "Fuzzy soft filter convergence," Filomat, Vol.32(9), 3325-3336, (2018).

A. Kandil, O. A. E. Tantawy, S. A. El-Sheikh, and A. M. Abd El-Latif, "Fuzzy semi-open soft sets related properties in fuzzy soft topological spaces," Journal of Mathematics and Computer Science, Vol.13(2014), 94-114, (2014).

Kharal A and B. Ahmad, "Mappings on fuzzy soft classes," Advances in Fuzzy Systems, Vol.2009, 1-6, (2009).

Maji P. K, R. Biswas, and A. R. Roy, "Fuzzy soft sets," Journal of Fuzzy Mathematics, Vol.9(3), 589-602, (2001).

Molodtsov D, "Soft set theory-first results," Computers and Mathematics with Applications, Vol.37(4-5), 19-31, (1999).

M. Parimala, M. Karthika, "A Review of fuzzy soft topological spaces, intuitionistic fuzzy soft topological spaces and neutrosophic soft topological Spaces," International Journal of Neutrosophic Science, Vol.10(2), 96-104, (2020).

Patil P.G., Rayanagoudar T.D. and Benchalli S.S., "Generalization of new continuous functions in topological spaces," CUBO, A Mathematical Journal, Vol.15(03), 51-58, (2013).

Pious Missier S, Anbarasi Rodrigo P, "Totally continuous functions in topological spaces," International Journal of Mathematics and Statistics Invention, Vol.3(4), 20-24, (2015).

Ponselvakumari A and R. Selvi, "Fuzzy soft contra continuous and fuzzy soft almost contra continuous mapping," International journal of scientific and research publications, Vol.5(4), 1-16, (2015).

Pradip Kumar Gain, Prakash Mukherjee, Ramkrishna Prasad Chakraborty and Madhumangal Pal, "On some structural properties of fuzzy soft topological spaces," International Journal of Fuzzy Mathematical Archive, Vol.1, 1-15, (2013).

Rodyna Ahmed Hosny and Alaa Mohamed Ad El-Latif, "Fuzzy soft connectedness based on fuzzy b-opensoft sets," Journal of New Theory, Vol.(11), 1-15, (2016).

Roy S and Samanta T.K, "A note on fuzzy soft topological spaces," Annals of fuzzy mathematics and informatics, Vol.3(2), 305-311, (2012).

Rui Gao and Jianrong Wu, "The net in a fuzzy soft topological spaces and Its applications," Sohag Journal of Mathematics, Vol.5(3), 1-5, (2018).

J. Ruth and S. Selvam, "A new approach to fuzzy soft connectedness," International Journal of Applied Engineering, Volume 13(7), 13340-13343, (2018).

Sabir Hussain, "On weak and strong forms of fuzzy soft open sets," Fuzzy Information and Engineering, Vol.8(4), 451-463, (2016).

Sabir Hussain, "On fuzzy soft semi pre-open sets and fuzzy soft semi pre continuous mappings," Hacettepe Journal of Mathematics and Statistics, Vol.46(5), 851-863, (2017).

Sabir Hussain, "On properties of fuzzy soft locally connected spaces," Hacettepe Journal of Mathematics and Statistics, Vol.47(3), 589-599, (2018).

Sabir Hussain, "On fuzzy soft compact and fuzzy soft locally compact spaces," Italian Journal of pure and applied mathematics, Vol.(42), 526-538, (2019).

Sandhya G.V and Anil P.N, "Some properties of fuzzy soft b-open sets and fuzzy soft b-continuous functions in fuzzy soft topological spaces," Advances in Fuzzy Mathematics, Vol.13(1), 25-38, (2018).

Smitha M.G and Sindhu G, "Intuitionistic fuzzy soft gb-closed and gb-open sets in intuitionistic fuzzy soft topological spaces," Infokara Research, Vol.2019(10), 540-555, (2019).

Smitha M G and Sindhu G, "Intuitionistic fuzzy soft gb-continuous functions," The International journal of analytical and experimental modal analysis, Vol.18, 1869-1882, (2021).

Tanay B and Kandemir, "Topological structure of fuzzy soft sets," Computers and Mathematics with Applications, Vol.61(10), 2952-2957, (2011).

Tingshui Ping, "Mappings on fuzzy soft topological spaces," Technical and Scientific Research, Vol.2 (3), 1-4, (2019).

Abd Ulazeez Alkouri, "Complex generalised fuzzy soft set and its applications," Wseas transactions on mathematics, Vol.19, 323-333, (2020).

Varol B.P and Ayg¨un H, "Fuzzy soft topology," Hacettepe Journal of Mathematics and Statistics, Vol.41(3), 407-419, (2012).

Zadeh L.A, "Fuzzy sets," Information and Control, Vol.8(3), 338-353,(1965).

Zhi Kong and Lifu Wang, "Application of fuzzy soft set in decision-making problems based on grey theory," Vol 236 (2011), 1521-1530, (2021).

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Published

2023-06-30

Issue

Vol. 47 (2023)

Section

Volume 47-2023

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