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International Journal of Neutrosophic Science

ISSN
Online: 2690-6805 Print: 2692-6148
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Continuous publication

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International Journal of Neutrosophic Science
Full Length Article

Volume 22Issue 4PP: 63-81 • 2023

Selection of neutral networks using q-rung neutrosophic vague soft set TOPSIS aggregating operator setting multi-criteria group decision making

A. Priya 1* ,
P. Maragatha Meenakshi 2 ,
Aiyared Iampan 3 ,
N. Rajesh 4 ,
Suganthi Mariyappan 4
1Department of Mathematics, Government Arts College (affiliated to Bharathidasan University), Thanthonimalai, Karur 639005, Tamilnadu, India
2Department of Mathematics, Thanthai Periyar Government Arts and Science College (affiliated to Bharathidasan University), Tiruchirappalli 624024, Tamilnadu, India
3Fuzzy Algebras and Decision-Making Problems Research Unit, School of Science, University of Phayao, 19 Moo 2, Tambon Mae Ka, Amphur Mueang, Phayao 56000, Thailand
4Department of Mathematics, Rajah Serfoji Government College, Thanjavur 613005, Tamilnadu, India
* Corresponding Author.
Received: May 28, 2023 Revised: July 09, 2023 Accepted: November 01, 2023

Abstract

The q-rung neutrosophic vague soft set (q-rung NVSS) is a generalization of the neutrosophic vague soft set (NVSS) and the vague soft set (VSS). The TOPSIS aggregated operation (AO) was used to discuss the q-rung NVSS. As an extension of VSS, the TOPSIS method effectively makes multi-criteria group decision making (MCGDM). With a score function, the goal is to find a positive and negative ideal solution based on q-rung NVSS. Closeness values are determined by presenting optimal alternatives. We provide practical examples to support our conclusions. This results in the outcome of the models for which q is provided. Considering the validity and usefulness of the models under consideration can be achieved by comparing them with those that have been proposed. Recent discoveries have generated quite a bit of interest and fascination.

Keywords

q-rung NVSS MCGDM TOPSIS aggregation operator.

References

[1] T. M. Al-Shami, H. Z. Ibrahim, A. A. Azzam, and A. I. EL-Maghrabi, SR-fuzzy sets and their weighted aggregated operators in application to decision-making, Journal of Function Spaces, 2022, (2022), Article ID 3653225, 14 pages.

[2] K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20(1), (1986), 87-96.

[3] R. Biswas, Vague groups, International Journal of Computational Cognition, 4(2), (2006), 20-23.

[4] S. Broumi, S. Krishna Prabha, and V. Uluc¸ay, Interval-valued Fermatean neutrosophic shortest path problem via score function, Neutrosophic Systems with Applications, 11, (2023), 1–10.

[5] S. Broumi, S. Mohanaselvi, T. Witczak, M. Talea, A. Bakali, and F. Smarandache, Complex Fermatean neutrosophic graph and application to decision making, Decision Making: Applications in Management and Engineering, 6(1), (2023), 474-501.

[6] S. Broumi, P. K. Raut, and S. P. Behera, Solving shortest path problems using an ant colony algorithm with triangular neutrosophic arc weights, International Journal of Neutrosophic Science, 20(4), (2023), 128-28.

[7] S. Broumi, R. Sundareswaran, M. Shanmugapriya, A. Bakali, and M. Talea, Theory and applications of Fermatean neutrosophic graphs, Neutrosophic Sets and Systems, 50, (2022), 248-286.

[8] S. Broumi, R. Sundareswaran, M. Shanmugapriya, P. K. Singh, M. Voskoglou, and M. Talea, Faculty performance evaluation through multi-criteria decision analysis using interval-valued Fermatean neutrosophic sets, Mathematics, 11(18), (2023), 3817.

[9] B. C. Cuong and V. Kreinovich, Picture fuzzy sets a new concept for computational intelligence problems, Third world congress on information and communication technologies, WICT 2013, IEEE, 1-6.

[10] P. A. Ejegwa, Distance and similarity measures for Pythagorean fuzzy sets, Granular Computing, 5, (2020), 225–238.

[11] R. Jansi, K. Mohana, and F. Smarandache, Correlation measure for Pythagorean neutrosophic sets with T and F as dependent neutrosophic components, Neutrosophic Sets and Systems, 30, (2019), 202-212.

[12] B. P. Joshi, A. Singh, P. K. Bhatt, and K. S. Vaisla, Interval valued q-rung orthopair fuzzy sets and their properties, Journal of Intelligent and Fuzzy Systems, 35, (2018), 5225-5230.

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

[14] P. K. Maji, R. Biswas, and A. R. Roy, On intuitionistic fuzzy soft sets, Journal of Fuzzy Mathematics, 9(3), (2001), 677-692.

[15] D. Molodtsov, Soft set theory-First results, Computers and Mathematics with Applications, 37(4-5), (1999), 19-31.

[16] M. Palanikumar and K. Arulmozhi, MCGDM based on TOPSIS and VIKOR using Pythagorean neutrosophic soft with aggregation operators, Neutrosophic Sets and Systems, 51, (2022), 538-555.

[17] M. Palanikumar, K. Arulmozhi, and A. Iampan, Multi criteria group decision making based on VIKOR and TOPSIS methods for Fermatean fuzzy soft with aggregation operators, ICIC Express Letters, 16(10), (2022), 1129-1138.

[18] M. Palanikumar, K. Arulmozhi, A. Iampan, and S. Broumi, Medical diagnosis decision making using type-II generalized Pythagorean neutrosophic interval valued soft sets, International Journal of Neutrosophic Science, 20(1), (2023), 85-105.

[19] M. Palanikumar, K. Arulmozhi, A. Iampan, and L. J. Manavalan, Novel possibility Pythagorean cubic fuzzy soft sets and their applications, International Journal of Innovative Computing, Information and Control, 19(2), (2023), 325-337.

[20] M. Palanikumar and S. Broumi, Square root Diophantine neutrosophic normal interval-valued sets and their aggregated operators in application to multiple attribute decision making, International Journal of Neutrosophic Science, 19(3), (2022), 63-84.

[21] M. Palanikumar, A. Iampan, S. Broumi, and G. Balaji, Generalization of neutrosophic interval-valued soft sets with different aggregating operators using multi-criteria group decision-making, International Journal of Neutrosophic Science, 22(1), (2023), 114-123.

[22] M. Palanikumar, A. Iampan, S. Broumi, L. J. Manavalan, and K. Sundareswari, Multi-criteria group decision making method in Pythagorean interval-valued neutrosophic fuzzy soft soft using VIKOR approach, International Journal of Neutrosophic Science, 22(1), (2023), 104-113.

[23] M. Palanikumar, N. Kausar, H. Garg, A. Iampan, S. Kadry, and M. Sharaf, Medical robotic engineering selection based on square root neutrosophic normal interval-valued sets and their aggregated operators, AIMS Mathematics, 8(8), (2023), 17402-17432.

[24] X. Peng and Y. Yang, Fundamental properties of interval valued Pythagorean fuzzy aggregation operators, International Journal of Intelligent Systems, 31(5), (2016), 444-487.

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

[26] R. R. Yager, Generalized orthopair fuzzy sets, IEEE Transactions on Fuzzy Systems, 25(5), (2016), 1222-1230.

[27] R. R. Yager, Pythagorean membership grades in multi criteria decision making, IEEE Trans. Fuzzy Systems, 22, (2014), 958-965.

[28] L. A. Zadeh, Fuzzy sets, Information and control, 8(3), (1965), 338-353.

Cite This Article

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Priya, A., Meenakshi, P. Maragatha, Iampan, Aiyared, Rajesh, N., Mariyappan, Suganthi. "Selection of neutral networks using q-rung neutrosophic vague soft set TOPSIS aggregating operator setting multi-criteria group decision making." International Journal of Neutrosophic Science, vol. Volume 22, no. Issue 4, 2023, pp. 63-81. DOI: https://doi.org/10.54216/IJNS.220406
Priya, A., Meenakshi, P., Iampan, A., Rajesh, N., Mariyappan, S. (2023). Selection of neutral networks using q-rung neutrosophic vague soft set TOPSIS aggregating operator setting multi-criteria group decision making. International Journal of Neutrosophic Science, Volume 22(Issue 4), 63-81. DOI: https://doi.org/10.54216/IJNS.220406
Priya, A., Meenakshi, P. Maragatha, Iampan, Aiyared, Rajesh, N., Mariyappan, Suganthi. "Selection of neutral networks using q-rung neutrosophic vague soft set TOPSIS aggregating operator setting multi-criteria group decision making." International Journal of Neutrosophic Science Volume 22, no. Issue 4 (2023): 63-81. DOI: https://doi.org/10.54216/IJNS.220406
Priya, A., Meenakshi, P., Iampan, A., Rajesh, N., Mariyappan, S. (2023) 'Selection of neutral networks using q-rung neutrosophic vague soft set TOPSIS aggregating operator setting multi-criteria group decision making', International Journal of Neutrosophic Science, Volume 22(Issue 4), pp. 63-81. DOI: https://doi.org/10.54216/IJNS.220406
Priya A, Meenakshi P, Iampan A, Rajesh N, Mariyappan S. Selection of neutral networks using q-rung neutrosophic vague soft set TOPSIS aggregating operator setting multi-criteria group decision making. International Journal of Neutrosophic Science. 2023;Volume 22(Issue 4):63-81. DOI: https://doi.org/10.54216/IJNS.220406
A. Priya, P. Meenakshi, A. Iampan, N. Rajesh, S. Mariyappan, "Selection of neutral networks using q-rung neutrosophic vague soft set TOPSIS aggregating operator setting multi-criteria group decision making," International Journal of Neutrosophic Science, vol. Volume 22, no. Issue 4, pp. 63-81, 2023. DOI: https://doi.org/10.54216/IJNS.220406
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