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The energy of interval valued neutrosophic matrix in decision-making to select the manager for the company project

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Języki publikacji
EN
Abstrakty
EN
The concept of energy in graphs and matrices is used effectively in all application areas. The energy of the matrix is an extension of graph energy. The usage of the energy idea in neutrosophic matrices makes it more flexible and applicable in multi-criteria decision-making environments. In this paper, we propose the energy approach in neutrosophic matrices with interval values. We determined the given energy’s upper and lower bounds. The energy is used of the interval-valued neutrosophic matrix to address the MCDM problem. A new strategy has been introduced called the interval-valued neutrosophic energy method to solve this problem. We look at the problem of choosing a qualified manager for a business project. A team of professionals in the company evaluates the options using neutrosophic numbers with interval values, and the energy method is then used to calculate the result. The result has been compared with the TOPSIS method results to show that the outcomes are similar.
Rocznik
Strony
35--51
Opis fizyczny
Bibliogr. 29 poz., rys.
Twórcy
  • Department of Mathematics, VIT University, Vellore, Tamil Nadu, India
  • Department of Mathematics, VIT University, Vellore, Tamil Nadu, India
Bibliografia
  • [1] Anjali, N. and Mathew, S. Energy of a fuzzy graph. Annals of Fuzzy Mathematics and Informatics 6, 3 (2013), 455–465.
  • [2] Atanassov, K. T. Intuitionistic fuzzy sets. Fuzzy Sets and Systems 20, 1 (1986), 87–96.
  • [3] Bolturk, E., and Kahraman, C. Interval-valued neutrosophic AHP with possibility degree method. International Journal of the Analytic Hierarchy Process 10, 3 (2018), 431–446.
  • [4] Bravo, D., Cubria, F., and Rada, J. Energy of matrices. Applied Mathematics and Computation 312 (2017), 149–157.
  • [5] Chou S.-Y., Pham X. L., and Nguyen T. A. T. Interval-valued neutrosophic sets to develop multi-criteria decision-making approach for renewable energy selection. In Transdisciplinary Engineering for Complex Socio-technical Systems. Proceedings of the 26th ISTE International Conference on Transdisciplinary Engineering, TE 2019, (Kashiwa, Japan, July 30 - August 1, 2019), J. Stjepandic, N. Wognum, K. Hiekata, M. Inoue and B. R. Moser, Eds., vol. 10 of ´ Advances in Transdisciplinary Engineering, IOS Press, 2019, pp. 179–185.
  • [6] Das, R., Smarandache, F., and Tripathy, B. C. Neutrosophic fuzzy matrices and some algebraic operations. Neutrosophic Sets and Systems 32, 1 (2020), 401–409.
  • [7] Dhar, M., Broumi, S., and Smarandache, F. A note on square neutrosophic fuzzy atrices. Neutrosophic Sets and Systems 3 (2014), 37–41.
  • [8] Donbosco, J. S. M., and Ganesan, D. The Energy of rough neutrosophic matrix and its application to MCDM problem for selecting the best building construction site. decision-making: Applications in Management and Engineering 5, 2 (2022) 30–45.
  • [9] Dung, V., Thuy, L. T., Mai, P. Q., Van Dan, N., and Lan, N. T. M. TOPSIS approach using interval neutrosophic sets for personnel selection. Asian Journal of Scientific Research 11, 3 (2018), 434–440.
  • [10] Edalatpanah, S. A., and Smarandache, F. Introduction to the special issue on advances in neutrosophic and plithogenic sets for engineering and sciences: Theory, models, and applications. Computer Modeling in Engineering & Sciences 134, 2 (2023), 817–819.
  • [11] Gutman, I. The energy of a graph. Berichte der Mathematisch-Statistischen Sektion im Forschungszentrum Graz 103 (1978), 1-22.
  • [12] Kandasamy, W. B. V., and Smarandache, F. Fuzzy relational maps and neutrosophic relational maps. Hexis, Church Rock 2004.
  • [13] Karaaslan, F., Hayat, K., and Jana, C. The determinant and adjoint of an interval-valued neutrosophic matrix. In Neutrosophic Operational Research, F. Smarandache and M. Abdel-Basset, Eds., Springer, Cham, 2021, pp. 127–151.
  • [14] Kharal A. A neutrosophic multi-criteria decision-making method, New Mathematics and Natural Computation 10, 2 (2014), 143–162.
  • [15] Mao, X., Guoxi, Z., Fallah, M., and Edalatpanah, S. A. A neutrosophic-based approach in data envelopment analysis with undesirable outputs. Mathematical Problems in Engineering 2020 (2020), 7626102.
  • [16] Martin, N., Priya, R., and Smarandache, F. New Plithogenic sub cognitive maps approach with mediating effects of factors in COVID-19 diagnostic model. Journal of Fuzzy Extension and Applications 2, 1 (2021) 1–15.
  • [17] Martina, D. J. S., and Deepa, G. Operations on multi-valued neutrosophic matrices and its application to neutrosophic simplified-TOPSIS method. International Journal of Information Technology & decision-making 22, 1 (2023) 37–56.
  • [18] Nikiforov, V. The energy of graphs and matrices. Journal of Mathematical Analysis and Applications 326, 2 (2007), 1472–1475.
  • [19] Polymenis, A. A neutrosophic Students’s t-type of statistic for AR (1) random processes. Journal of fuzzy extension and application 2, 4 (2021) 388–393.
  • [20] Praba, B., Chandrasekaran, V. M., and Deepa, G. Energy of an intuitionistic fuzzy. Italian Journal of Pure and Applied Mathematics 32 (2014) 431–444.
  • [21] Ramesh, O., and Basha, S. S. Group decision-making of selecting partner based on signless laplacian energy of an intuitionistic fuzzy graph with TOPSIS method: Study on MATLAB programming. Advances in Mathematics: Scientific Journal 9 (2020), 5849–5859.
  • [22] Saha, A., and Broumi, S. New operators on interval valued neutrosophic sets. Neutrosophic Sets and Systems 28 (2019), 128–137.
  • [23] Smarandache, F. Neutrosophy. Neutrosophic Probability, Set, and Logic: Analytic Synthesis & Synthetic Analysis. American Research Press, 1998.
  • [24] Stanimirović, P. S., Ivanov, B., Stanujkić, D., Katsikis, V. N., Mourtas, S. D., Kazakovtsev, L. A., and Edalatpanah, S. A. Improvement of unconstrained optimization methods based on symmetry involved in neutrosophy. Symmetry 15, 1 (2023) 250.
  • [25] Veeramani, C., Venugopal, R., and Edalatpanah, S. A. Neutrosophic DEMATEL approach for financial ratio performance evaluation of the NASDAQ Exchange. Neutrosophic Sets and Systems 51 (2022) 766–782.
  • [26] Vidhya, R., and Hepzipha, R. I. On interval valued neutrosophic fuzzy matrices. Advances and Applications in Mathematical Sciences 20, 4 (2021), 561–575.
  • [27] Wang, H., Madiraju, P., Zhang, Y., and Sunderraman, R. Interval neutrosophic sets, 2004. Preprint available from https://arxiv.org/abs/math/0409113.
  • [28] Zadeh, L. A. Fuzzy sets. Information and control 8, 3 (1965), 338–353.
  • [29] Zavadskas, E. K., Bausys, R., Lescauskiene, I., and Usovaite, A. MULTIMOORA under interval-valued neutrosophic sets as the basis for the quantitative heuristic evaluation methodology HEBIN. Mathematics 9, 1 (2020), 66.
Uwagi
Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2024).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-bad73cb8-5db5-4763-b803-5dc1323272dc
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