Continuous Maps and Irresolute Maps Via Fuzzy Hypersoft θ Open set

P.; B.; K.; A.

doi:https://doi.org/10.54216/IJNS.260118

Full Length Article

Volume 26 • Issue 1 • PP: 206-222 • 2025

Continuous Maps and Irresolute Maps Via Fuzzy Hypersoft θ Open set

P. Revathi ^1*

mail

,

B. Premamalini ²

mail

,

K. Chitirakala ³

mail

,

A. Vadivel ⁴

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¹Government Polytechnic College, Kuduveli, Chidambaram - 608 305, India; Department of Mathematics, Annamalai University, Annamalai Nagar - 608 002, India

²Department of Mathematics, Annamalai University, Annamalai Nagar - 608 002, India

³Department of Mathematics, M.Kumarasamy College of Engineering, Karur - 639 113, India

⁴Department of Mathematics, Annamalai University, Annamalai Nagar - 608 002, India; PG and Research Department of Mathematics, Arignar Anna Government Arts College, Namakkal - 637 002, India

* Corresponding Author.

DOI https://doi.org/10.54216/IJNS.260118

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Received: October 21, 2024 Revised: January 01, 2025 Accepted: January 31, 2025

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Abstract

The purpose of this paper is to introduce and study fuzzy hypersoft θ continuous maps, fuzzy hypersoft θ semi continuous maps, fuzzy hypersoft θ pre continuous maps and fuzzy hypersoft θ irresolute maps in fuzzy hypersoft topological spaces with examples. Further, we derived some useful results and properties related to them.

Keywords

Fuzzy hypersoft &theta continuous maps Fuzzy hypersoft &theta semi continuous maps Fuzzy hypersoft &theta pre continuous maps fuzzy hypersoft &theta irresolute maps

References

[1] M. Abbas, G. Murtaza and F. Smarandache, Basic operations on hypersoft sets and hypersoft point, Neutrosophic Sets and Systems, 35, (2020), 407-421.

[2] M. Ahsan, M. Saeed and A.U. Rahman, A Theoretical and Analytical Approach for Fundamental Framework of Composite Mappings on Fuzzy Hypersoft Classes, Neutrosophic Sets and Systems, 45, (2021), 268-285.

[3] D. Ajay and J. Joseline Charisma, Neutrosophic hypersoft topological spaces, Neutrosophic Sets and Systems, 40, (2021), 178-194.

[4] D. Ajay, J. Joseline Charisma, N. Boonsatit, P. Hammachukiattikul and G. Rajchakit Neutrosophic semiopen hypersoft sets with an application to MAGDM under the COVID-19 scenario, Hindawi Journal of Mathematics, 2021, (2021), 1-16.

[5] M. Caldas, M. Ganster, D. N. Georgiou, S. Jafari and T. Noiri, θ-semiopen sets and separation axioms in topological spaces, Carpathian Journal of Mathematics, 24 (1) (2008), 13-22.

[6] M. Caldas, S. Jafari and M. M. Kovar, Some properties of θ-open sets, Divulg. Mat., 12(2) (2004), 161- 169.

[7] C. L. Chang, Fuzzy topological spaces, J. Math. Anal. Appl., 24 (1968), 182-190.

[8] J. Dontchev, Contra-continuous functions and strongly S-closed spaces, Internat. J. Math. Math. Sci., 19, (1996), 303–310.

[9] D. Molodtsov, Soft set theory-first results, Comput. Math. Appl., 37, (1999), 19-31.

[10] Saeed, M., Ahsan, M., Siddique, M.K., Ahmad M.R., A Study of The Fundamentals of Hypersoft Set Theory , International Journal of Scientific Engineering Research, 11 (1), (2020).

[11] M. Saeed, A. U. Rahman, M. Ahsan, F. Smarandache, An inclusive study on fundamentals of hypersoft set, Theory and Applications of Hypersoft Set, Pons Publishing House, Brussels, (2021), 1–23.

[12] S. Saha, Fuzzy δ-continuous mappings, Journal of Mathematical Analysis and Applications, 126 (1987), 130-142.

[13] M. Shabir and M. Naz, On soft topological spaces, Comput. Math. Appl., 61, (2011), 1786-1799.

[14] F. Smarandache, Extension of soft set to hypersoft set, and then to plithogenic hypersoft set, Neutrosophic Sets and Systems, 22, (2018), 168-170.

[15] N. V. Velicko, H-Closed Topological Spaces, Amer. Math. Soc. Transl., 78 (No 2), (1968),103-118.

[16] L. A. Zadeh, Fuzzy sets, Information and Control, 8 (3), (1965), 338–353.

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Revathi, P., Premamalini, B., Chitirakala, K., Vadivel, A.. "Continuous Maps and Irresolute Maps Via Fuzzy Hypersoft θ Open set." International Journal of Neutrosophic Science, vol. Volume 26, no. Issue 1, 2025, pp. 206-222. DOI: https://doi.org/10.54216/IJNS.260118

Revathi, P., Premamalini, B., Chitirakala, K., Vadivel, A. (2025). Continuous Maps and Irresolute Maps Via Fuzzy Hypersoft θ Open set. International Journal of Neutrosophic Science, Volume 26(Issue 1), 206-222. DOI: https://doi.org/10.54216/IJNS.260118

Revathi, P., Premamalini, B., Chitirakala, K., Vadivel, A.. "Continuous Maps and Irresolute Maps Via Fuzzy Hypersoft θ Open set." International Journal of Neutrosophic Science Volume 26, no. Issue 1 (2025): 206-222. DOI: https://doi.org/10.54216/IJNS.260118

Revathi, P., Premamalini, B., Chitirakala, K., Vadivel, A. (2025) 'Continuous Maps and Irresolute Maps Via Fuzzy Hypersoft θ Open set', International Journal of Neutrosophic Science, Volume 26(Issue 1), pp. 206-222. DOI: https://doi.org/10.54216/IJNS.260118

Revathi P, Premamalini B, Chitirakala K, Vadivel A. Continuous Maps and Irresolute Maps Via Fuzzy Hypersoft θ Open set. International Journal of Neutrosophic Science. 2025;Volume 26(Issue 1):206-222. DOI: https://doi.org/10.54216/IJNS.260118

P. Revathi, B. Premamalini, K. Chitirakala, A. Vadivel, "Continuous Maps and Irresolute Maps Via Fuzzy Hypersoft θ Open set," International Journal of Neutrosophic Science, vol. Volume 26, no. Issue 1, pp. 206-222, 2025. DOI: https://doi.org/10.54216/IJNS.260118

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