106 92
Full Length Article
International Journal of Neutrosophic Science
Volume 24 , Issue 1, PP: 171-185 , 2024 | Cite this article as | XML | Html |PDF

Title

Computer purchasing using new type neutrosophic sets and its extension based on aggregation operators

  Ibraheem Abu Falahah 1 ,   T. T. Raman 2 ,   Abdallah Al-Husban 3 ,   Ayman Alahmade 4 ,   S. Azhaguvelavan 5 * ,   Murugan Palanikumar 6

1  Department of Mathematics, Faculty of Science, The Hashemite University P.O. Box 330127, Zarqa, 13133, Jordan
    (iabufalahah@hu.edu.jo)

2  Department of Mathematics, St. Joseph’s Institute of Technology, OMR, Chennai-600119, India
    (ramanstat@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, College of Science and Art, AlUla branch, Taibah University, Medina, Saudi Arabia
    (aaahmdi@taibahu.edu.sa)

5  Department of Mathematics, Dr.R.K. Shanmugam College of Arts and Science, Indili, Kallakurichi
    (solaiazhagumaths@gmail.com)

6  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.240116

Received: July 10, 2023 Revised: January 22, 2024 Accepted: February 16, 2024

Abstract :

This article discusses a new approach to multiple attribute decision-making (MADM) based on (l1, l2, l3) neutrosophic sets (NS). This is an extension of the NS. Neuosophic weighted averaging (NWA), neutrosophic weighted geometrics (NWG), generalized neutrosophic weighted averaging (GNWA), and generalized neutrosophic weighted geometrics (GNWG) are the topics of this article. The flowchart we presented during our discussion showed an algorithm that used these operators. Numerical examples are provided for the extended Euclidean and Hamming distance measures. As part of this communication, we will also elaborate on the properties of neutrosophic sets, such as their idempotency, their boundness, their commutativity, and their monotonicity. They make it quicker, easier, and more convenient to find the best option. Thus, there is a stronger connection between (l1, l2, l3) and more precise conclusions. Some of the current models are compared with those that have been proposed in order to demonstrate their dependability and utility. The study also revealed fascinating and intriguing findings.

Keywords :

Aggregating operator; decision making; NWA; NWG; GNWA and GNWG.

References :

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

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

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

[4] 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.

[5] 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.

[6] P. Liu, G. Shahzadi, M. Akram, Specific types of picture fuzzy Yager aggregation operators for decisionmaking, International Journal of Computational Intelligence Systems, 13(1), (2020), 1072-1091.

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

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

[9] K.G. Fatmaa, K. Cengiza, Spherical fuzzy sets and spherical fuzzy TOPSIS method, Journal of Intelligent and Fuzzy Systems, 36(1), (2019), 337-352.

[10] R.N. Xu and C.L. Li, Regression prediction for fuzzy time series, Appl. Math. J. Chinese Univ., 16, (2001), 451-461.

[11] Z. Xu, R.R. Yager, Some geometric aggregation operators based on intuitionistic fuzzy sets, Int. J. Gen. Syst. 35, (2006), 417-433.

[12] D.F. Li, Multi-attribute decision making method based on generalized OWA operators with intuitionistic fuzzy sets, Expert Syst. Appl. 37, (2010), 8673-8678.

[13] S. Zeng, W. Sua, Intuitionistic fuzzy ordered weighted distance operator, Knowl. Based Syst. 24, (2011), 1224-1232.

[14] X. Peng, H. Yuan, Fundamental properties of Pythagorean fuzzy aggregation operators, Fundam. Inform. 147, (2016), 415-446.

[15] M Palanikumar, K Arulmozhi, MCGDM based on TOPSIS and VIKOR using Pythagorean neutrosophicsoft with aggregation operators, Neutrosophic Sets and Systems,, 538-555, 2022.

[16] N Kausar, H Garg, A Iampan, S Kadry, 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.

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

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

[19] Palanikumar, M., Arulmozhi, K, On intuitionistic fuzzy normal subbisemiring of bisemiring, Nonlinear Studies 2021, 28(3), 717–721.

[20] S. Ashraf, S. Abdullah, T. Mahmood, Spherical fuzzy Dombi aggregation operators and their application in group decision making problems, J. Amb. Intell. Hum. Comput. 11, (2020), 2731-2749.

[21] K. Ullah, H. Garg, T. Mahmood, N. Jan, Z. Ali, Correlation coefficients for T-spherical fuzzy sets and their applications in clustering and multi-attribute decision making, Soft Comput. 24, (2020), 1647-1659.

[22] K. Ullah, T. Mahmood, H. Garg, Evaluation of the performance of search and rescue robots using Tspherical fuzzy hamacher aggregation operators, Int. J. Fuzzy Syst. 22, (2020), 570-582.

[23] Tansu Temel, Salih Berkan Aydemir,Yasar Hoscan, Power Muirhead mean in spherical normal fuzzy environment and its applications to multi-attribute decision-making, Complex and Intelligent Systems, (2022), 1-19.

[24] X. D. Peng and J. Dai, Approaches to single-valued neutrosophic MADM based on MABAC, TOPSIS and new similarity measure with score function, Neural Computing and Applications, 29(10), (2018), 939-954.

[25] X. Lhang and L. Xu, Extension of TOPSIS to multiple criteria decision-making with (ℓ1, ℓ2, ℓ3)phantine Pythagorean fuzzy sets, International Journal of Intelligent Systems, 29, (2014), 1061-1078.


Cite this Article as :
Style #
MLA Ibraheem Abu Falahah, T. T. Raman, Abdallah Al-Husban, Ayman Alahmade, S. Azhaguvelavan, Murugan Palanikumar. "Computer purchasing using new type neutrosophic sets and its extension based on aggregation operators." International Journal of Neutrosophic Science, Vol. 24, No. 1, 2024 ,PP. 171-185 (Doi   :  https://doi.org/10.54216/IJNS.240116)
APA Ibraheem Abu Falahah, T. T. Raman, Abdallah Al-Husban, Ayman Alahmade, S. Azhaguvelavan, Murugan Palanikumar. (2024). Computer purchasing using new type neutrosophic sets and its extension based on aggregation operators. Journal of International Journal of Neutrosophic Science, 24 ( 1 ), 171-185 (Doi   :  https://doi.org/10.54216/IJNS.240116)
Chicago Ibraheem Abu Falahah, T. T. Raman, Abdallah Al-Husban, Ayman Alahmade, S. Azhaguvelavan, Murugan Palanikumar. "Computer purchasing using new type neutrosophic sets and its extension based on aggregation operators." Journal of International Journal of Neutrosophic Science, 24 no. 1 (2024): 171-185 (Doi   :  https://doi.org/10.54216/IJNS.240116)
Harvard Ibraheem Abu Falahah, T. T. Raman, Abdallah Al-Husban, Ayman Alahmade, S. Azhaguvelavan, Murugan Palanikumar. (2024). Computer purchasing using new type neutrosophic sets and its extension based on aggregation operators. Journal of International Journal of Neutrosophic Science, 24 ( 1 ), 171-185 (Doi   :  https://doi.org/10.54216/IJNS.240116)
Vancouver Ibraheem Abu Falahah, T. T. Raman, Abdallah Al-Husban, Ayman Alahmade, S. Azhaguvelavan, Murugan Palanikumar. Computer purchasing using new type neutrosophic sets and its extension based on aggregation operators. Journal of International Journal of Neutrosophic Science, (2024); 24 ( 1 ): 171-185 (Doi   :  https://doi.org/10.54216/IJNS.240116)
IEEE Ibraheem Abu Falahah, T. T. Raman, Abdallah Al-Husban, Ayman Alahmade, S. Azhaguvelavan, Murugan Palanikumar, Computer purchasing using new type neutrosophic sets and its extension based on aggregation operators, Journal of International Journal of Neutrosophic Science, Vol. 24 , No. 1 , (2024) : 171-185 (Doi   :  https://doi.org/10.54216/IJNS.240116)