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International Journal of Neutrosophic Science

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https://doi.org/10.54216/IJNS

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International Journal of Neutrosophic Science

Volume 23 , Issue 3 , PP: 296-303, 2024 | Cite this article as | XML | Html | PDF | Full Length Article

Multi-criteria group decision making approach based on a new type of neutrosophic vague approach is used to select the shares of the companies for purchase

K. Raja 1 , P. Maragatha Meenakshi 2 , Abdallah Al-Husban 3 , Abdallah shihadeh 4 , Mowafaq Omar Al-Qadri 5 , N. Rajesh 6 , M. Palanikumar 7 *

  • 1 Department of Mathematics, Thanthai Periyar Government Arts and Science College (affiliated to Bharathidasan University), Tiruchirappalli 624024, Tamilnadu, India - (raju729467@gmail.com)
  • 2 Department of Mathematics, Thanthai Periyar Government Arts and Science College (affiliated to Bharathidasan University), Tiruchirappalli 624024, Tamilnadu, India - (maragathameenakship@gmail.com)
  • 3 Department of Mathematics, Faculty of Science and Technology, Irbid National University, P.O. Box: 2600 Irbid, Jordan - (dralhosban@inu.edu.jo)
  • 4 Department of Mathematics, Faculty of Science, The Hashemite University, Zarqa 13133, PO box 330127, Jordan - (abdallaha ka@hu.edu.jo)
  • 5 Department of Mathematics, Jerash University, Jerash 26150, Jordan - (m.alqadri@jpu.edu.jo)
  • 6 Department of Mathematics, Rajah Serfoji Government College, Thanjavur 613005, Tamilnadu, India - (nrajesh topology@yahoo.co.in)
  • 7 Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai-602105, India - (palanimaths86@gmail.com)

    • Doi: https://doi.org/10.54216/IJNS.230324

    Received: July 18, 2023 Revised: November 19, 2023 Accepted: February 21, 2024
    Abstract

    In this paper, we introduce the neutrosophic vague soft set, a combination of vague and neutrosophic soft sets. With the help of aggregated operations, we discuss neutrosophic vague soft sets. Multi-criteria group decision making can be evaluated effectively using the VIKOR approach. In this approach, the score function is generated by aggregating the VIKOR method to a neutrosophic vague soft approach. With the help of closeness values, alternative solutions are presented as optimal ones. To invest some money into the top five companies on the stock exchange, an investment company intends to purchase shares of the companies. Their investment strategy was to allocate some of their cash in percentages of 30 dollars, 25 dollars, 20 dollars, 15 dollars, and 10 dollars according to the top five ranked companies to minimize this effect.

    Keywords :

    NVS set , MCGDM , VIKOR , aggregation operator.

    References

    [1] C.L. Hwang, K. Yoon, Multiple Attributes Decision Making Methods and Applications, Springer, Berlin Heidelberg, 1981.

    [2] Z. Xiao, W.J. Chen, and L.L. Li, A method based on interval-valued fuzzy soft set for multi attribute group decision making problems under uncertain environment, Knowledge and Information Systems, 34, (2013), 653-669.

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

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

    [5] M. Gorzalczany, A method of inference in approximate reasoning based on interval valued fuzzy sets, Fuzzy Sets and Systems, 21, (1987) 1-17.

    [6] Ranjit Biswas, Vague Groups, International journal of Computational Cognition, 4(2),(2006), 20-23.

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

    [8] X. Peng, and Y. Yang, Fundamental properties of interval valued pythagorean fuzzy aggregation operators, International Journal of Intelligent Systems, (2015), 1-44.

    [9] S. Ashraf, S. Abdullah, T. Mahmood, F. Ghani and T. Mahmood, Spherical fuzzy sets and their applications in multi-attribute decision making problems, Journal of Intelligent and Fuzzy Systems, 36, (2019), 2829-284.

    [10] B.C. Cuong and V. Kreinovich, Picture fuzzy sets a new concept for computational intelligence problems, in Proceedings of 2013 Third World Congress on Information and Communication Technologies (WICT 2013), IEEE, (2013), 1-6.

    [11] M. Akram, W. A. Dudek, Farwa Ilyas, Group decision making based on Pythagorean fuzzy TOPSIS method, Int. J. Intelligent System, 34, (2019), 1455-1475.

    [12] M. Akram, W. A. Dudek, J. M. Dar, Pythagorean Dombi Fuzzy Aggregation Operators with Application in Multi-criteria Decision-making, Int. J. Intelligent Systems, 34, (2019), 3000-3019.

    [13] T.M. Athira, S.J. John and H. Garg, Entropy and distance measures of Pythagorean fuzzy soft sets and their applications, Journal of Intelligent and Fuzzy Systems, (2019), 1-14.

    [14] H. Garg, Some picture fuzzy aggregation operators and their applications to multi criteria decisionmaking, Arabian Journal for Science and Engineering, 42(12) (2017), 5275-5290.

    [15] H. Garg, New logarithmic operational laws and their aggregation operators for Pythagorean fuzzy set and their applications, International Journal of Intelligent Systems, 34(1), (2019), 82-106.

    [16] Z. Xu, Intuitionistic fuzzy aggregation operators, IEEE Transactions on Fuzzy Systems, 15, (2007), 1179-1187.

    [17] W.F. Liu, J. Chang, X. He, Generalized Pythagorean fuzzy aggregation operators and applications in decision making, Control Decis. 31, (2016), 2280-2286.

    [18] K. Rahman, S. Abdullah,, M. Shakeel, MSA. Khan and M. Ullah, Interval valued Pythagorean fuzzy geometric aggregation operators and their application to group decision-making problem, Cogent Mathematics, 4, (2017), 1-19.

    [19] K. Rahman, A. Ali, S. Abdullah and F. Amin, Approaches to multi attribute group decision-making based on induced interval valued Pythagorean fuzzy Einstein aggregation operator, New Mathematics and Natural Computation, 14(3), (2018), 343-361.

    [20] Z. Yang, J. Chang, Interval-valued Pythagorean normal fuzzy information aggregation operators for multiple attribute decision making approach, IEEE Access, 8, (2020), 51295-51314.

    [21] X.D. Peng, Y. Yang, J.P. Song, Pythagorean fuzzy soft set and its application, Computer Engineering, 41(7), (2015), 224-229.

    [22] K. Ullah, T. Mahmood, Z. Ali and N. Jan, On some distance measures of complex Pythagorean fuzzy sets and their applications in pattern recognition, Complex and Intelligent Systems, 1-13, (2019).

    [23] M. Palanikumar, A. Iampan, Spherical fermatean interval valued fuzzy soft set based on multi criteria group decision making, International Journal of Innovative Computing, Information and Control, 18(2), (2022), 607-619.

    [24] M. Palanikumar, A. Iampan, Novel approach to decision making based on type-II generalized fermatean bipolar fuzzy soft sets, International Journal of Innovative Computing, Information and Control, 18(3), (2022), 769-781.

    Cite This Article As :
    Raja, K.. , Maragatha, P.. , Al-Husban, Abdallah. , shihadeh, Abdallah. , Omar, Mowafaq. , Rajesh, N.. , Palanikumar, M.. Multi-criteria group decision making approach based on a new type of neutrosophic vague approach is used to select the shares of the companies for purchase. International Journal of Neutrosophic Science, vol. , no. , 2024, pp. 296-303. DOI: https://doi.org/10.54216/IJNS.230324
    Raja, K. Maragatha, P. Al-Husban, A. shihadeh, A. Omar, M. Rajesh, N. Palanikumar, M. (2024). Multi-criteria group decision making approach based on a new type of neutrosophic vague approach is used to select the shares of the companies for purchase. International Journal of Neutrosophic Science, (), 296-303. DOI: https://doi.org/10.54216/IJNS.230324
    Raja, K.. Maragatha, P.. Al-Husban, Abdallah. shihadeh, Abdallah. Omar, Mowafaq. Rajesh, N.. Palanikumar, M.. Multi-criteria group decision making approach based on a new type of neutrosophic vague approach is used to select the shares of the companies for purchase. International Journal of Neutrosophic Science , no. (2024): 296-303. DOI: https://doi.org/10.54216/IJNS.230324
    Raja, K. , Maragatha, P. , Al-Husban, A. , shihadeh, A. , Omar, M. , Rajesh, N. , Palanikumar, M. (2024) . Multi-criteria group decision making approach based on a new type of neutrosophic vague approach is used to select the shares of the companies for purchase. International Journal of Neutrosophic Science , () , 296-303 . DOI: https://doi.org/10.54216/IJNS.230324
    Raja K. , Maragatha P. , Al-Husban A. , shihadeh A. , Omar M. , Rajesh N. , Palanikumar M. [2024]. Multi-criteria group decision making approach based on a new type of neutrosophic vague approach is used to select the shares of the companies for purchase. International Journal of Neutrosophic Science. (): 296-303. DOI: https://doi.org/10.54216/IJNS.230324
    Raja, K. Maragatha, P. Al-Husban, A. shihadeh, A. Omar, M. Rajesh, N. Palanikumar, M. "Multi-criteria group decision making approach based on a new type of neutrosophic vague approach is used to select the shares of the companies for purchase," International Journal of Neutrosophic Science, vol. , no. , pp. 296-303, 2024. DOI: https://doi.org/10.54216/IJNS.230324

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