515 511
Full Length Article
International Journal of Neutrosophic Science
Volume 21 , Issue 2, PP: 129-141 , 2023 | Cite this article as | XML | Html |PDF

Title

The Integrated Novel Framework: Linguistic Variables in Pythagorean Neutrosophic Set with DEMATEL for Enhanced Decision Support

  Jamiatun Nadwa Ismail 1 * ,   Zahari Rodzi 2 ,   Faisal Al-Sharqi 3 ,   Hazwani Hashim 4 ,   Nor Hashimah Sulaiman 5

1  College of Computing, Informatics and Media, UiTM Cawangan Negeri Sembilan, Kampus Seremban, 73000 Negeri Sembilan, Malaysia
    (ismail.nadwa@gmail.com)

2  College of Computing, Informatics and Media, UiTM Cawangan Negeri Sembilan, Kampus Seremban, 73000 Negeri Sembilan, Malaysia
    (zahari@uitm.edu.my)

3  Department of Mathematics, Faculty of Education for Pure Sciences, University Of Anbar, Ramadi, Anbar, Iraq
    (faisal.ghazi@uoanbar.edu.iq)

4  College of Computing, Informatics and Media, UiTM Cawangan Kelantan, Kampus Machang, 18500, Kelantan, Malaysia
    (hazwanihashim@uitm.edu.my)

5  College of Computing, Informatics and Media, UiTM Cawangan Selangor, Kampus Dengkil, 43800 Selangor, Malaysia
    (nhashima@tmsk.uitm.edu.my)


Doi   :   https://doi.org/10.54216/IJNS.210212

Received: February 09, 2023 Revised: May 03, 2023 Accepted: June 02, 2023

Abstract :

This study proposes a methodology that integrates the Pythagorean Neutrosophic Set (PNS) with the Decision-Making Trial and Evaluation Laboratory (DEMATEL) approach. This integration is intended to effectively handle the challenges of uncertainty and linguistic vagueness that are commonly encountered in multi-criteria decision-making scenarios. The PNS-DEMATEL framework comprises eight distinct steps, wherein the fundamental divergence lies in the creation of a linguistic variable within the PNS-DEMATEL framework. The linguistic variable has been formulated utilizing the PNS methodology, thereby enabling a more all-encompassing depiction of the viewpoints of experts. The application of the 7-point linguistic scale is utilized to acquire evaluations from experts, resulting in heightened precision and discernment. The method that has been put forth aims to improve the representation and management of linguistic variables, thereby enhancing the usability and validity of the model. The verification of the linguistic variable's validity is achieved by ensuring that the conditions outlined for the PNS are met. The integration of PNS with DEMATEL can facilitate the exploration of causal relationships in the barriers to halal certification. This approach can provide decision-makers with a more comprehensive and accurate representation of their opinions and judgements, leading to improved effectiveness in decision-making across various application domains.

Keywords :

Pythagorean Neutrosophic Set; DEMATEL , Uncertainty; Halal principles , MCDM; Halal certification.

References :

[1] Si, S. L., You, X. Y., Liu, H. C., & Zhang, P. (2018). DEMATEL Technique: A Systematic Review of the State-of-the-Art Literature on Methodologies and Applications. Mathematical Problems in Engineering, 2018(1). https://doi.org/10.1155/2018/3696457

[2] F. Al-Sharqi, A. G. Ahmad, A. Al Quran, Mapping on interval complex neutrosophic soft sets, International Journal of Neutrosophic Science, vol.19(4), pp.77-85, 2022.

[3] F. Al-Sharqi, A.G. Ahmad, A. Al-Quran, Fuzzy parameterized-interval complex neutrosophic soft sets and their applications under uncertainty, Journal of Intelligent and Fuzzy Systems, vol. 44, pp.1453–1477, 2023.

[4] F. Al-Sharqi, A. G. Ahmad and A. Al-Quran, Similarity Measures on Interval-Complex Neutrosophic Soft Sets with Applications to Decision Making and Medical Diagnosis under Uncertainty. Neutrosophic Sets and Systems, 51(1) (2022), 495-515.

[5] Mohammed Abed, M., Hassan, N., & Al-Sharq, F. (2022). On Neutrosophic Multiplication Module.Neutrosophic Sets and Systems, 49(1), 12

[6] Mamites, I., Almerino, P., Sitoy, R., Atibing, N. M., Almerino, J. G., Cebe, D., Ybañez, R., Tandag, J., Villaganas, M. A., Lumayag, C., Plando, D., Añero, M., Acebes, H. M., Maturan, F., Evangelista, S. S., Aro, J. L., Himang, C., & Ocampo, L. (2022). Factors Influencing Teaching Quality in Universities: Analyzing Causal Relationships Based on Neutrosophic DEMATEL. Education Research International, 2022. https://doi.org/10.1155/2022/9475254

[7] Khan, S., Khan, M. I., & Haleem, A. (2019). Evaluation of barriers in the adoption of halal certification: a fuzzy DEMATEL approach. Journal of Modelling in Management, 14(1), 153–174. https://doi.org/10.1108/JM2-03-2018-0031

[8] Zulkifli, N., Abdullah, L., & Garg, H. (2021). An Integrated Interval-Valued Intuitionistic Fuzzy Vague Set and Their Linguistic Variables. International Journal of Fuzzy Systems, 23(1), 182–193. https://doi.org/10.1007/s40815-020-01011-8

[9] Rahim, N., Abdullah, L., & Yusoff, B. (2020). A border approximation area approach considering bipolar neutrosophic linguistic variable for sustainable energy selection. Sustainability (Switzerland), 12(10). https://doi.org/10.3390/SU12103971

[10] Hajiyan, H., & Badakhshan, P. (2020). A DEMATEL-Fuzzy ANP Hybrid Method for Supplier Selection Based on IT Security Factors A DEMATEL-Fuzzy ANP Hybr id Method for Supplier Selection Based on IT Secur ity Factor s. December.

[11] Abdullah, L., & Goh, P. (2019). Decision making method based on Pythagorean fuzzy sets and its application to solid waste management. Complex and Intelligent Systems, 5(2), 185–198. https://doi.org/10.1007/s40747-019-0100-9

[12] Smarandache, F. (2006). Neutrosophic set - A generalization of the intuitionistic fuzzy set. 2006 IEEE International Conference on Granular Computing, 1(1), 38–42. https://doi.org/10.1109/grc.2006.1635754

[13] Prema, R., & Radha, R. (2022). Generalized Neutrosophic Pythagorean Set. International Research Journal of Modernization in Engineering Technology and Science, 11, 1571–1575. https://doi.org/10.56726/irjmets31596

[14] Al-Quran, A., Hashim, H., & Abdullah, L. (2020). A hybrid approach of interval neutrosophic vague sets and DEMATEL with new linguistic variable. Symmetry, 12(2), 1–15. https://doi.org/10.3390/sym12020275

[15] Haleem, A., Khan, M. I., & Khan, S. (2020). Halal certification, the inadequacy of its adoption, modelling and strategising the efforts. Journal of Islamic Marketing, 11(2), 393–413. https://doi.org/10.1108/JIMA-05-2017-0062

[16] Khan, S., Haleem, A., & Khan, M. I. (2021). Risk management in Halal supply chain: an integrated fuzzy Delphi and DEMATEL approach. Journal of Modelling in Management, 16(1), 172–214. https://doi.org/10.1108/JM2-09-2019-0228

[17] Radha, R., & Stanis Arul Mary, A. (2021). Neutrosophic Pythagorean Soft Set With T and F as Dependent Neutrosophic Components. Neutrosophic Sets and Systems, 42(Dm), 65–78. https://doi.org/10.5281/zenodo.4711505

[18] Biswas, P., Pramanik, S., & Giri, B. C. (2016). TOPSIS method for multi-attribute group decision-making under single-valued neutrosophic environment. Neural Computing and Applications, 27(3), 727–737. https://doi.org/10.1007/s00521-015-1891-2


Cite this Article as :
Style #
MLA Jamiatun Nadwa Ismail, Zahari Rodzi, Faisal Al-Sharqi, Hazwani Hashim, Nor Hashimah Sulaiman. "The Integrated Novel Framework: Linguistic Variables in Pythagorean Neutrosophic Set with DEMATEL for Enhanced Decision Support." International Journal of Neutrosophic Science, Vol. 21, No. 2, 2023 ,PP. 129-141 (Doi   :  https://doi.org/10.54216/IJNS.210212)
APA Jamiatun Nadwa Ismail, Zahari Rodzi, Faisal Al-Sharqi, Hazwani Hashim, Nor Hashimah Sulaiman. (2023). The Integrated Novel Framework: Linguistic Variables in Pythagorean Neutrosophic Set with DEMATEL for Enhanced Decision Support. Journal of International Journal of Neutrosophic Science, 21 ( 2 ), 129-141 (Doi   :  https://doi.org/10.54216/IJNS.210212)
Chicago Jamiatun Nadwa Ismail, Zahari Rodzi, Faisal Al-Sharqi, Hazwani Hashim, Nor Hashimah Sulaiman. "The Integrated Novel Framework: Linguistic Variables in Pythagorean Neutrosophic Set with DEMATEL for Enhanced Decision Support." Journal of International Journal of Neutrosophic Science, 21 no. 2 (2023): 129-141 (Doi   :  https://doi.org/10.54216/IJNS.210212)
Harvard Jamiatun Nadwa Ismail, Zahari Rodzi, Faisal Al-Sharqi, Hazwani Hashim, Nor Hashimah Sulaiman. (2023). The Integrated Novel Framework: Linguistic Variables in Pythagorean Neutrosophic Set with DEMATEL for Enhanced Decision Support. Journal of International Journal of Neutrosophic Science, 21 ( 2 ), 129-141 (Doi   :  https://doi.org/10.54216/IJNS.210212)
Vancouver Jamiatun Nadwa Ismail, Zahari Rodzi, Faisal Al-Sharqi, Hazwani Hashim, Nor Hashimah Sulaiman. The Integrated Novel Framework: Linguistic Variables in Pythagorean Neutrosophic Set with DEMATEL for Enhanced Decision Support. Journal of International Journal of Neutrosophic Science, (2023); 21 ( 2 ): 129-141 (Doi   :  https://doi.org/10.54216/IJNS.210212)
IEEE Jamiatun Nadwa Ismail, Zahari Rodzi, Faisal Al-Sharqi, Hazwani Hashim, Nor Hashimah Sulaiman, The Integrated Novel Framework: Linguistic Variables in Pythagorean Neutrosophic Set with DEMATEL for Enhanced Decision Support, Journal of International Journal of Neutrosophic Science, Vol. 21 , No. 2 , (2023) : 129-141 (Doi   :  https://doi.org/10.54216/IJNS.210212)