T-Spherical Fuzzy Valued Neutrosophic Aggregation Operators: Applications in Multi-Attribute Decision Making

Ashraf; Faisal; Hamiden Abd El- Wahed; Aziza; Ali M. A. Bany; Heba Ghareb

doi:https://doi.org/10.54216/IJNS.230210

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Volume 23 • Issue 2 • PP: 116-128 • 2024

T-Spherical Fuzzy Valued Neutrosophic Aggregation Operators: Applications in Multi-Attribute Decision Making

Ashraf Al-Quran ^1*

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,

Faisal Al-Sharqi ²

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,

Hamiden Abd El- Wahed Khalifa ³

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,

Aziza Algarni ⁴

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,

Ali M. A. Bany Awad ⁵

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,

Heba Ghareb Gomaa ⁶

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¹Basic Sciences Department, Preparatory Year Deanship, King Faisal University, Al-Ahsa 31982, Saudi Arabia

²Department 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

³Department 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 St

⁴Department of Mathematics, Jamoum University College, Umm Al-Qura University, Makkah, Saudi Arabia

⁵Deanship of Development and Quality Assurance, King Faisal University, Al-Ahsa 31982, Saudi Arabia

⁶Department of Mathematics and Statistics, Institute for Management Information Systems, Suiz, Egypt

* Corresponding Author.

DOI https://doi.org/10.54216/IJNS.230210

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Received: June 17, 2023 Revised: September 27, 2023 Accepted: December 29, 2023

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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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Al-Quran, Ashraf, Al-Sharqi, Faisal, Khalifa, Hamiden Abd El- Wahed, Algarni, Aziza, Awad, Ali M. A. Bany, Gomaa, Heba Ghareb. "T-Spherical Fuzzy Valued Neutrosophic Aggregation Operators: Applications in Multi-Attribute Decision Making." International Journal of Neutrosophic Science, vol. Volume 23, no. Issue 2, 2024, pp. 116-128. DOI: https://doi.org/10.54216/IJNS.230210

Al-Quran, A., Al-Sharqi, F., Khalifa, H., Algarni, A., Awad, A., Gomaa, H. (2024). T-Spherical Fuzzy Valued Neutrosophic Aggregation Operators: Applications in Multi-Attribute Decision Making. International Journal of Neutrosophic Science, Volume 23(Issue 2), 116-128. DOI: https://doi.org/10.54216/IJNS.230210

Al-Quran, Ashraf, Al-Sharqi, Faisal, Khalifa, Hamiden Abd El- Wahed, Algarni, Aziza, Awad, Ali M. A. Bany, Gomaa, Heba Ghareb. "T-Spherical Fuzzy Valued Neutrosophic Aggregation Operators: Applications in Multi-Attribute Decision Making." International Journal of Neutrosophic Science Volume 23, no. Issue 2 (2024): 116-128. DOI: https://doi.org/10.54216/IJNS.230210

Al-Quran, A., Al-Sharqi, F., Khalifa, H., Algarni, A., Awad, A., Gomaa, H. (2024) 'T-Spherical Fuzzy Valued Neutrosophic Aggregation Operators: Applications in Multi-Attribute Decision Making', International Journal of Neutrosophic Science, Volume 23(Issue 2), pp. 116-128. DOI: https://doi.org/10.54216/IJNS.230210

Al-Quran A, Al-Sharqi F, Khalifa H, Algarni A, Awad A, Gomaa H. T-Spherical Fuzzy Valued Neutrosophic Aggregation Operators: Applications in Multi-Attribute Decision Making. International Journal of Neutrosophic Science. 2024;Volume 23(Issue 2):116-128. DOI: https://doi.org/10.54216/IJNS.230210

A. Al-Quran, F. Al-Sharqi, H. Khalifa, A. Algarni, A. Awad, H. Gomaa, "T-Spherical Fuzzy Valued Neutrosophic Aggregation Operators: Applications in Multi-Attribute Decision Making," International Journal of Neutrosophic Science, vol. Volume 23, no. Issue 2, pp. 116-128, 2024. DOI: https://doi.org/10.54216/IJNS.230210

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