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International Journal of Neutrosophic Science

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International Journal of Neutrosophic Science

Volume 23 , Issue 2 , PP: 116-128, 2024 | Cite this article as | XML | Html | PDF | Full Length Article

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

Ashraf Al-Quran 1 , Faisal Al-Sharqi 2 , Hamiden Abd El- Wahed Khalifa 3 , Aziza Algarni 4 , Ali M. A. Bany Awad 5 , Heba Ghareb Gomaa 6

  • 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)

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

    Received: June 17, 2023 Revised: September 27, 2023 Accepted: December 29, 2023
    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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    Cite This Article As :
    Al-Quran, Ashraf. , Al-Sharqi, Faisal. , Abd, Hamiden. , Algarni, Aziza. , M., Ali. , Ghareb, Heba. T-Spherical Fuzzy Valued Neutrosophic Aggregation Operators: Applications in Multi-Attribute Decision Making. International Journal of Neutrosophic Science, vol. , no. , 2024, pp. 116-128. DOI: https://doi.org/10.54216/IJNS.230210
    Al-Quran, A. Al-Sharqi, F. Abd, H. Algarni, A. M., A. Ghareb, H. (2024). T-Spherical Fuzzy Valued Neutrosophic Aggregation Operators: Applications in Multi-Attribute Decision Making. International Journal of Neutrosophic Science, (), 116-128. DOI: https://doi.org/10.54216/IJNS.230210
    Al-Quran, Ashraf. Al-Sharqi, Faisal. Abd, Hamiden. Algarni, Aziza. M., Ali. Ghareb, Heba. T-Spherical Fuzzy Valued Neutrosophic Aggregation Operators: Applications in Multi-Attribute Decision Making. International Journal of Neutrosophic Science , no. (2024): 116-128. DOI: https://doi.org/10.54216/IJNS.230210
    Al-Quran, A. , Al-Sharqi, F. , Abd, H. , Algarni, A. , M., A. , Ghareb, H. (2024) . T-Spherical Fuzzy Valued Neutrosophic Aggregation Operators: Applications in Multi-Attribute Decision Making. International Journal of Neutrosophic Science , () , 116-128 . DOI: https://doi.org/10.54216/IJNS.230210
    Al-Quran A. , Al-Sharqi F. , Abd H. , Algarni A. , M. A. , Ghareb H. [2024]. T-Spherical Fuzzy Valued Neutrosophic Aggregation Operators: Applications in Multi-Attribute Decision Making. International Journal of Neutrosophic Science. (): 116-128. DOI: https://doi.org/10.54216/IJNS.230210
    Al-Quran, A. Al-Sharqi, F. Abd, H. Algarni, A. M., A. Ghareb, H. "T-Spherical Fuzzy Valued Neutrosophic Aggregation Operators: Applications in Multi-Attribute Decision Making," International Journal of Neutrosophic Science, vol. , no. , pp. 116-128, 2024. DOI: https://doi.org/10.54216/IJNS.230210

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