1
Basic Sciences Department, Preparatory Year Deanship, King Faisal University, Al-Ahsa 31982, Saudi Arabia
(aalquran@kfu.edu.sa)
2
Department of Mathematics, Faculty of Education for Pure Sciences, University Of Anbar, Ramadi, Anbar, Iraq; College of Pharmacy, National University of Science and Technology, Dhi Qar, Iraq
(faisal.ghazi@uoanbar.edu.iq)
3
Department of Mathematics, College of Science and Arts, Qassim University, Al- Badaya 51951, Saudi Arabia; Department of Operations and Management Research, Faculty of Graduate Studies for Statistical Research, Cairo University, Giza 12613, Egypt
(Ha.Ahmed@qu.edu.sa)
4
Department of Mathematics, Jamoum University College, Umm Al-Qura University, Makkah, Saudi Arabia
(amhalgarni@uqu.edu.sa)
5
Deanship of Development and Quality Assurance, King Faisal University, Al-Ahsa 31982, Saudi Arabia
(abanyawad@kfu.edu.sa)
6
Department of Mathematics and Statistics, Institute for Management Information Systems, Suiz, Egypt
(dr.heba@suezmis.edu.eg)
Abstract :
This paper aims to introduce and explore the innovative concept of T-spherical fuzzy valued neutrosophic sets (T-SFVNSs) in the context of multi-attribute decision making (MADM). The T-SFVNSs are utilized to develop two key aggregation operators: the T-spherical fuzzy valued neutrosophic weighted average operator (T-SFVNWAO) and the T-spherical fuzzy valued neutrosophic weighted geometric operator (T-SFVNWGO). These operators are defined based on the operational rules of T-SFVNNs. The properties of these operators, including idempotency, boundedness, and monotonicity, are rigorously examined and established. To demonstrate the practicality and relevance of the T-SFVN operators, an algorithm and a numerical application are presented. The algorithm illustrates the step-by-step implementation of these operators, while the numerical application showcases their effectiveness in real-world scenarios. Additionally, a comparative analysis is conducted to evaluate the accuracy and performance of the proposed operators in relation to existing ones.
Keywords :
Aggregation Operators; Decision Making; Neutrosophic Set; Optimization; T-Spherical Fuzzy Valued Neutrosophic Sets.
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| Style | # |
|---|---|
| MLA | Ashraf Al-Quran, Faisal Al-Sharqi, Hamiden Abd El- Wahed Khalifa, Aziza Algarni, Ali M. A. Bany Awad, Heba Ghareb Gomaa. "T-Spherical Fuzzy Valued Neutrosophic Aggregation Operators: Applications in Multi-Attribute Decision Making." International Journal of Neutrosophic Science, Vol. 23, No. 2, 2024 ,PP. 116-128 (Doi : https://doi.org/10.54216/IJNS.230210) |
| APA | Ashraf Al-Quran, Faisal Al-Sharqi, Hamiden Abd El- Wahed Khalifa, Aziza Algarni, Ali M. A. Bany Awad, Heba Ghareb Gomaa. (2024). T-Spherical Fuzzy Valued Neutrosophic Aggregation Operators: Applications in Multi-Attribute Decision Making. Journal of International Journal of Neutrosophic Science, 23 ( 2 ), 116-128 (Doi : https://doi.org/10.54216/IJNS.230210) |
| Chicago | Ashraf Al-Quran, Faisal Al-Sharqi, Hamiden Abd El- Wahed Khalifa, Aziza Algarni, Ali M. A. Bany Awad, Heba Ghareb Gomaa. "T-Spherical Fuzzy Valued Neutrosophic Aggregation Operators: Applications in Multi-Attribute Decision Making." Journal of International Journal of Neutrosophic Science, 23 no. 2 (2024): 116-128 (Doi : https://doi.org/10.54216/IJNS.230210) |
| Harvard | Ashraf Al-Quran, Faisal Al-Sharqi, Hamiden Abd El- Wahed Khalifa, Aziza Algarni, Ali M. A. Bany Awad, Heba Ghareb Gomaa. (2024). T-Spherical Fuzzy Valued Neutrosophic Aggregation Operators: Applications in Multi-Attribute Decision Making. Journal of International Journal of Neutrosophic Science, 23 ( 2 ), 116-128 (Doi : https://doi.org/10.54216/IJNS.230210) |
| Vancouver | Ashraf Al-Quran, Faisal Al-Sharqi, Hamiden Abd El- Wahed Khalifa, Aziza Algarni, Ali M. A. Bany Awad, Heba Ghareb Gomaa. T-Spherical Fuzzy Valued Neutrosophic Aggregation Operators: Applications in Multi-Attribute Decision Making. Journal of International Journal of Neutrosophic Science, (2024); 23 ( 2 ): 116-128 (Doi : https://doi.org/10.54216/IJNS.230210) |
| IEEE | Ashraf Al-Quran, Faisal Al-Sharqi, Hamiden Abd El- Wahed Khalifa, Aziza Algarni, Ali M. A. Bany Awad, Heba Ghareb Gomaa, T-Spherical Fuzzy Valued Neutrosophic Aggregation Operators: Applications in Multi-Attribute Decision Making, Journal of International Journal of Neutrosophic Science, Vol. 23 , No. 2 , (2024) : 116-128 (Doi : https://doi.org/10.54216/IJNS.230210) |