ASPG Menu
search

American Scientific Publishing Group

verified Journal

International Journal of Neutrosophic Science

ISSN
Online: 2690-6805 Print: 2692-6148
Frequency

Continuous publication

Publication Model

Open access · Articles freely available online · APC applies after acceptance

International Journal of Neutrosophic Science
Full Length Article

Volume 25Issue 3PP: 349-362 • 2025

Cubic Spherical Linguistic Neutrosophic Topological Space

S. Sathyapriya 1* ,
V. Jeyanthi 1 ,
Said Broumi 2
1Department of Mathematics, Sri Krishna Arts and Science College, Coimbatore, Tamil Nadu, India
2Laboratory of Information Processing ,Faculty of Science Ben M’Silk,University Hassan II,Casalanca Morocco
* Corresponding Author.
Received: March 17, 2024 Revised: June 14, 2024 Accepted: October 26, 2024

Abstract

In this article, we introduce and establish a novel concept called ’cubic spherical linguistic neutrosophic topological spaces’ by employing cubic spherical linguistic neutrosophic sets and topological frameworks. Various foundational definitions, theorems, and properties are provided along with illustrative examples.

Keywords

Cubic Spherical Linguistic Neutrosophic topological Space Cubic Spherical Linguistic Neutrosophic open set Cubic Spherical Linguistic Neutrosophic closed set Cubic Spherical Linguistic Neutrosophic continuous function Cubic Spherical Linguistic Neutrosophic derived sets

References

[1] Atanassov, K.T. Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 1986, 20, pp. 87–96.

[2] Chang, C.L. Fuzzy topological spaces. J. Math. Anal. Appl., 1968, 24, pp. 182–190.

[3] Chen, Z.C.; Liu, P.H.; Pei, Z. An approach to multiple attribute group decision making based on linguistic intuitionistic fuzzy numbers. Int. J. Comput. Intell. Syst., 2015, 8, 747–760.

[4] Coker, D. An introduction to intuitionistic fuzzy topological spaces. Fuzzy Sets and Systems, 1997, 88, pp. 81-89.

[5] Fan, Feng, and Hu. Linguistic Neutrosophic Numbers Einstein Operator and Its Application in Decision Making. Mathematics, 2019, 7(5), 389. doi:10.3390/math7050389.

[6] Fang, Zebo and Te, Jun. Multiple Attribute Group Decision-Making Method Based on Linguistic Neutrosophic Numbers. Symmetry, 2017, 9(7), 111; https://doi.org/10.3390/sym9070111.

[7] Gayathri, N., & Helen, M. (2021). Linguistic Neutrosophic Topology. Neutrosophic Sets and Systems, 46, 254–267.

[8] Garg H and Nancy. Linguistic single-valued neutrosophic power aggregation operators and their applications to group decision-making problems. IEEE/CAA J. Autom. Sinica, 2020, vol. 7, no. 2, pp. 546–558.

[9] S. Gomathi, S. Krishnaprakash, M. Karpagadevi, Said Broumi. ”Cubic Spherical Neutrosophic Sets.”International Journal of Neutrosophic Science, 21(4) 2023, 172-180. https://doi.org/10.54216/IJNS.210418.

[10] S. Gomathi, S. Krishnaprakash, M. Karpagadevi, S. Krishnaprakash, ”Cubic Spherical Neutrosophic Topological Spaces.”South East Asian Journal of Mathematics and Mathematical Sciences, 20(1) 2024, 223-232. https://doi.10.56827/SEAJMMS.2024.2001.17.

[11] Herrera, F.; Herrera-Viedma, E.; Verdegay, L. A model of consensus in group decision making under linguistic assessments. Fuzzy Sets Syst., 1996, 79, 73–87.

[12] Herrera, F.; Herrera-Viedma, E. Linguistic decision analysis: Steps for solving decision problems under linguistic information. Fuzzy Sets and Systems, 2000, 115(1), 67–82.

[13] Munkres, James R. Topology: a First Course. Englewood Cliffs, N.J.: Prentice-Hall, 1974.

[14] Smarandache, F. A unifying field in logics. Neutrosophy: Neutrosophic probability, set and logic. American Research Press, Rehoboth, 1999.

[15] Su, Z.S. Deviation measures of linguistic preference relations in group decision making. Omega, 2005, 33(3), 249–254.

[16] Wang, H.; Smarandache, F.; Zhang, T.Q.; Sunderraman, R. Interval neutrosophic sets and logic: Theory and applications in computing. Hexis, Phoenix, AZ, 2005.

[17] Wei, G.; Wu, J.; Guo, Y.; Wang, J.; Wei, C. An extended COPRAS model for multiple attribute group decision making based on single-valued neutrosophic 2-tuple linguistic environment. Technological and Economic Development of Economy, 2021, 27(2), 353-368. https://doi.org/10.3846/tede.2021.14057.

[18] Ye, J. (2015). An extended TOPSIS method for multiple attribute group decision making based on single valued neutrosophic linguistic numbers. Journal of Intelligent & Fuzzy Systems, 28, 247–255.

[19] Zadeh, L.A. (1965). Fuzzy Sets. Information and Control, 8, 338–353.

[20] Zadeh, L.A. (1975). The concept of a linguistic variable and its application to approximate reasoning Part I. Information Sciences, 8, 199–249.

 

Cite This Article

Choose your preferred format

format_quote
Sathyapriya, S., Jeyanthi, V., Broumi, Said. "Cubic Spherical Linguistic Neutrosophic Topological Space." International Journal of Neutrosophic Science, vol. Volume 25, no. Issue 3, 2025, pp. 349-362. DOI: https://doi.org/10.54216/IJNS.250331
Sathyapriya, S., Jeyanthi, V., Broumi, S. (2025). Cubic Spherical Linguistic Neutrosophic Topological Space. International Journal of Neutrosophic Science, Volume 25(Issue 3), 349-362. DOI: https://doi.org/10.54216/IJNS.250331
Sathyapriya, S., Jeyanthi, V., Broumi, Said. "Cubic Spherical Linguistic Neutrosophic Topological Space." International Journal of Neutrosophic Science Volume 25, no. Issue 3 (2025): 349-362. DOI: https://doi.org/10.54216/IJNS.250331
Sathyapriya, S., Jeyanthi, V., Broumi, S. (2025) 'Cubic Spherical Linguistic Neutrosophic Topological Space', International Journal of Neutrosophic Science, Volume 25(Issue 3), pp. 349-362. DOI: https://doi.org/10.54216/IJNS.250331
Sathyapriya S, Jeyanthi V, Broumi S. Cubic Spherical Linguistic Neutrosophic Topological Space. International Journal of Neutrosophic Science. 2025;Volume 25(Issue 3):349-362. DOI: https://doi.org/10.54216/IJNS.250331
S. Sathyapriya, V. Jeyanthi, S. Broumi, "Cubic Spherical Linguistic Neutrosophic Topological Space," International Journal of Neutrosophic Science, vol. Volume 25, no. Issue 3, pp. 349-362, 2025. DOI: https://doi.org/10.54216/IJNS.250331
Digital Archive Ready