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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 24 , Issue 4 , PP: 335-351, 2024 | Cite this article as | XML | Html | PDF | Full Length Article

Selection process based on new type neutrosophic interval-valued set applied to logarithm operator

Lejo J. Manavalan 1 , Sadeq Damrah 2 , Ibraheem Abu Falahah 3 , Abdallah Al-Husban 4 , M. Palanikumar 5 *

  • 1 Department of Mathematics, Little Flower College-680103, Guruvayoor, India - (lejo@littleflowercollege.edu.in)
  • 2 Department of Mathematics and Physics, College of Engineering, Australian University, West Mishref, Safat 13015, Kuwait. - (s.damrah@au.edu.kw)
  • 3 Department of Mathematics, Faculty of Science, The Hashemite University, P.O. Box 330127, Zarqa, 13133, Jordan - (iabufalahah@hu.edu.jo)
  • 4 Department of Mathematics, Faculty of Science and Technology, Irbid National University, P.O. Box: 2600 Irbid, Jordan - (dralhosban@inu.edu.jo)
  • 5 Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Saveetha University, Chennai, Tamil Nadu 602105, India - (palanimaths86@gmail.com)

    • Doi: https://doi.org/10.54216/IJNS.240424

    Received: September 28, 2023 Revised: February 19, 2024 Accepted: June 18, 2024
    Abstract

    We introduce the new type neutrosophic interval-valued set (NIVS) problems relevant to multiple attribute decision making (MADM). Pythagorean interval-valued fuzzy set (PIVFS) and neutrosophic set (NS) can be extended into new type neutrosophic interval-valued set. We discusses new type neutrosophic interval-valued weighted averaging (new type NIVWA), new type neutrosophic interval-valued weighted geometric (new type NIVWG), generalized new type neutrosophic interval-valued weighted averaging (new type GNIVWA) and generalized new type neutrosophic interval-valued weighted geometric (new type GNIVWG). A number of algebraic properties of new type NIVSs have been established such as associativity, distributivity and idempotency. Using expert judgments and criteria, we will be able to decide which options are the most appropriate. Several of the proposed and current models are also compared in order to demonstrate the reliability and usefulness of the models under study. Additionally, the findings of the study are fascinating and intriguing.

     

    Keywords :

    MADM , new type NIVWA , new type NIVWG , new type GNIVWA , new type GNIVWG.

      ,

    References

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

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

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

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

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

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

    [7] Ashraf, S., Abdullah, S., Mahmood, T., Ghani, F., Mahmood, T. (2019). Spherical fuzzy sets and their applications in multi-attribute decision making problems. J. Intell. Fuzzy Syst., 36, 2829-284.

    [8] Smarandache, F., Unifying, A. (2002). Field in Logics Neutrosophic logic, multiple valued logic. An International Journal, 8(3), 385-438.

    [9] Cuong, B. C., Kreinovich, V. (2013). 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, 1-6.

    [10] Palanikumar, M., Arulmozhi,K., Jana, C, Multiple attribute decision-making approach for Pythagorean neutrosophic normal interval-valued fuzzy aggregation operators, Computational and Applied Mathematics 41 (3), 90, 2022.

    [11] Palanikumar, M., Arulmozhi,K., Jana, C, Pal,M., Multiple attribute decision making spherical vague normal operators and their applications for the selection of farmers, Expert Systems 40 (3), e13188, 2022.

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

    [13] 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.

    [14] Palanikumar, M., 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.

    [15] Palanikumar, M., 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.

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

    [17] Fatmaa, K. G., Cengiza, K. (2019). Spherical fuzzy sets and spherical fuzzy TOPSIS method. J. Intell. Fuzzy Syst., 36(1), (2019), 337-352.

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

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

    [20] SG Quek, H Garg, G Selvachandran,MPalanikumar, K Arulmozhi,VIKOR and TOPSIS framework with a truthful-distance measure for the (t, s)-regulated interval-valued neutrosophic soft set, Soft Computing, 1-27, 2023.

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

    [22] Ye, J., Similarity measures between interval neutrosophic sets and their applications in Multi-criteria decision-making. Journal of Intelligent and Fuzzy Systems, 2014, 26, 165-172.

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

    [24] Shihadeh, A., Matarneh, K. A. M., Hatamleh, R., Hijazeen, R. B. Y., Al-Qadri, M. O., & Al-Husban, A, An Example of Two-Fold Fuzzy Algebras Based On Neutrosophic Real Numbers, Neutrosophic Sets and Systems, 2024, 67, 169-178.

    [25] A. Al-Husban, Abdul Razak Salleh, Nasruddin Hassan, Complex fuzzy normal subgroup, THE 2015 UKM FST POSTGRADUATE COLLOQUIUM: Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2015 Postgraduate Colloquium, 1678, AIP Publishing, 2015, 060008- 060015.

    [26] Abdallah Al-Husban, Abdul Razak Salleh, Complex fuzzy ring, Proceedings of 2nd International Conference on Computing, Mathematics and Statistics, IEEE 2015, 241-245.

    [27] Abdallah Al-Husban, Abdul Razak Salleh, Complex Fuzzy Hyperring Based on Complex Fuzzy Spaces, Proceedings of 2nd Innovation and Analytics Conference & Exhibition (IACE), 1691, AIP Publishing, 040009-040017, 2015.

     
    Cite This Article As :
    J., Lejo. , Damrah, Sadeq. , Abu, Ibraheem. , Al-Husban, Abdallah. , Palanikumar, M.. Selection process based on new type neutrosophic interval-valued set applied to logarithm operator. International Journal of Neutrosophic Science, vol. , no. , 2024, pp. 335-351. DOI: https://doi.org/10.54216/IJNS.240424
    J., L. Damrah, S. Abu, I. Al-Husban, A. Palanikumar, M. (2024). Selection process based on new type neutrosophic interval-valued set applied to logarithm operator. International Journal of Neutrosophic Science, (), 335-351. DOI: https://doi.org/10.54216/IJNS.240424
    J., Lejo. Damrah, Sadeq. Abu, Ibraheem. Al-Husban, Abdallah. Palanikumar, M.. Selection process based on new type neutrosophic interval-valued set applied to logarithm operator. International Journal of Neutrosophic Science , no. (2024): 335-351. DOI: https://doi.org/10.54216/IJNS.240424
    J., L. , Damrah, S. , Abu, I. , Al-Husban, A. , Palanikumar, M. (2024) . Selection process based on new type neutrosophic interval-valued set applied to logarithm operator. International Journal of Neutrosophic Science , () , 335-351 . DOI: https://doi.org/10.54216/IJNS.240424
    J. L. , Damrah S. , Abu I. , Al-Husban A. , Palanikumar M. [2024]. Selection process based on new type neutrosophic interval-valued set applied to logarithm operator. International Journal of Neutrosophic Science. (): 335-351. DOI: https://doi.org/10.54216/IJNS.240424
    J., L. Damrah, S. Abu, I. Al-Husban, A. Palanikumar, M. "Selection process based on new type neutrosophic interval-valued set applied to logarithm operator," International Journal of Neutrosophic Science, vol. , no. , pp. 335-351, 2024. DOI: https://doi.org/10.54216/IJNS.240424

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