Volume 22 , Issue 3 , PP: 15-35, 2023 | Cite this article as | XML | Html | PDF | Full Length Article
Abraham D. Egan L 1 * , B. Shoba 2 , Rajkumar A. 3 , Broumi said 4
Doi: https://doi.org/10.54216/IJNS.220302
The neutrosophic set has numerous uses in a variety of industries. There are more advantages to use the Bipolar Neutrosophic set than other sets for elucidating a multi-criteria decision-making problem. The bipolar-neutrosophic set addresses both the positive and negative facets of the issue, improving the probability of a successful resolution. By implementing the removal area method, the de-bipolarization of the bipolar neutrosophic number with eleven parameters is formulated. The proposed Neutrosophic number is used to solve the selection of agricultural aircraft using given criteria and the linguistic variables by the TOPSIS approach. A comparative study has been conducted to determine its robustness. Also, the multi-criteria decision-making problem (MCDM) is solved using the TOPSIS approach with MATLAB programming.
Neutrosophic set , De-bipolarization , Removal area , TOPSIS Method , MATLAB
[1] Abdel-basset, M., Gunasekaran, M., Mohamed, M., & Chilamkurti, N. (2019). A framework for risk assessment, management and evaluation: Economic tool for quantifying risks in supply chain. Future Generation Computer Systems, 90, 489–502. https://doi.org/10.1016/j.future.2018.08.035
[2] Abdel-basset, M., Member, S., & Gamal, A. (2021). A Security-by-Design Decision-Making Model for Risk Management in Autonomous Vehicles. IEEE Access, 9, 107657–107679. https://doi.org/10.1109/ACCESS.2021.3098675
[3] Ali, A., Warren, D., & Mathiassen, L. (2017). International Journal of Information Management Cloud-based business services innovation : A risk management model. International Journal of Information Management, 37(6), 639–649. https://doi.org/10.1016/j.ijinfomgt.2017.05.008
[4] Bobyr, M. V., Milostnaya, N. A., & Kulabuhov, S. A. (2017). A method of defuzzification based on the approach of areas’ ratio. Applied Soft Computing Journal, 59, 19–32. https://doi.org/10.1016/j.asoc.2017.05.040
[5] Dutta, A., Chao Alex Peng, G. U. O., & Choudhary, A. (2013). Risks in enterprise cloud computing: The perspective of it experts. Journal of Computer Information Systems, 53(4), 39–48. https://doi.org/10.1080/08874417.2013.11645649
[6] Hwang, C.L.; Yoon, K. (1981). Multiple Attribute Decision Making: Methods and Applications. New York: Springer-Verlag.
[7] Keikha, A. (2022). Archimedean t-Norm and t-Conorm-Based Aggregation Operators of HFNs, with the Approach of Improving Education. International Journal of Fuzzy Systems, 24(1), 310–321. https://doi.org/10.1007/s40815-021-01137-3
[8] Lu, X., Lu, X., Zhang, T., Fang, Y., & Ye, J. (2023). Neutrosophic Sets and Systems TOPSIS Method-Based Decision-Making Model of Simplified Neutrosophic Indeterminate Sets for Teaching Quality Evaluation Neutrosophic Sets and Systems, 53.
[9] Mustafa, S., Safdar, N., Bibi, M., Sayed, A. F., Khan, M. G., & Salleh, Z. (2021). A Study of Bipolar Fuzzy Soft Sets and Its Application in Decision-Making Problems. Mathematical Problems in Engineering, 2021. https://doi.org/10.1155/2021/5742288
[10] Pathinathan, T., & Ponnivalavan, K. (2015). Reverse order Triangular, Trapezoidal and Pentagonal Fuzzy Numbers. Annals of Pure and Applied Mathematics, 9(1), 107–117. www.researchmathsci.org
[11] C Sagayanathan Stalin, A. Rajkumar. (2020). Selection of agricultural aircraft using a svtrn-number approach to multi-criteria decision making. Adv. Math. Sci. J., 9(8), 5971–5978.
[12] Saaty, R. W. (1987). The analytic hierarchy process-what it is and how it is used. Mathematical Modelling, 9(3–5), 161–176. https://doi.org/10.1016/0270-0255(87)90473-8
[13] Schwening, G. S., & Abdalla, Á. M. (2014). Selection of agricultural aircraft using AHP and TOPSIS methods in fuzzy environment. 29th Congress of the International Council of the Aeronautical Sciences, ICAS 2014.
[14] Serafim Opricovic (2011) "Fuzzy VIKOR with an application to water resources planning", Expert Systems with Applications 38, pp. 12983–12990.
[15] Sheehan, B., Murphy, F., Kia, A. N., Kiely, R., & Sheehan, B. (2021). A quantitative bow-tie cyber risk classification and assessment framework assessment framework. Journal of Risk Research, 0(0), 1–20. https://doi.org/10.1080/13669877.2021.1900337
[16] Sianaki, O. A. (2015). Intelligent Decision Support System for Energy Management in Demand Response Programs and Residential and Industrial Sectors of the Smart Grid. (PhD), Curtin University, Retrieved from http://espace.library.curtin.edu.au/R?func=dbin-jump-full&local_base=gen01-era02&object_id=240088
[17] Swathy Akshaya, M., & Padmavathi, G. (2019). Taxonomy of Security Attacks and Risk Assessment of Cloud Computing. In Advances in Intelligent Systems and Computing (Vol. 750). Springer Singapore. https://doi.org/10.1007/978-981-13-1882-5_4
[18] Wang, T. C., & Chang, T. H. (2007). Application of TOPSIS in evaluating initial training aircraft under a fuzzy environment. Expert Systems with Applications, 33(4), 870–880. https://doi.org/10.1016/j.eswa.2006.07.003
[19] G., Wang, J., Lu, J., Wu, J., Wei, C., & Alsaadi, F. E. (2020). VIKOR method for Wei, multiple criteria group decision making under 2-tuple linguistic neutrosophic environment. Economic Research-Ekonomska Istraživanja, 33(1), 3185–3208. https://doi.org/10.1080/1331677X.2019.1691036
[20] Zadeh, L. . (1965). Zadeh_Fuzzy SetTheory_1965.pdf. In Information and Control (Vol. 8, pp. 338–353).
[21] Zhang, N., & Wei, G. (2013). Extension of VIKOR method for decision making problem based on hesitant fuzzy set. Applied Mathematical Modelling, 37(7), 4938–4947. https://doi.org/10.1016/j.apm.2012.10.002
