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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 23 , Issue 4 , PP: 08-22, 2024 | Cite this article as | XML | Html | PDF | Full Length Article

Orthogonal distance and similarity for single-valued neutrosophic fuzzy soft expert environment and its application in decision-making

Faisal Al-Sharqi 1 , Ashraf Al-Quran 2 , Hamiden Abd El- Wahed Khalifa 3 , Haifa Alqahtani 4 , Badria A. Ali Yousif 5 , Rawan A. shlaka 6 , Mona Aladil 7

  • 1 Department of Mathematics, Faculty of Education for Pure Sciences, University Of Anbar, Ramadi, Anbar, Iraq - (faisal.ghazi@uoanbar.edu.iq)
  • 2 Department of Basic Sciences, Preparatory Year, King Faisal University, Al-Ahsa 31982, Saudi Arabia; Department of mathematics and statistics, College of Science, King Faisal University, Al-Ahsa 31982, Saudi Arabia - (aalquran@kfu.edu.sa)
  • 3 Department of Mathematics, College of Science, Qassim University, Buraydah, 51452, 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 Statistics and Business Analytics, United Arab Emirates University, UAE - (h.alqahtani@uaeu.ac.ae)
  • 5 Department of Mathematics, College of Science, Qassim University, Buraydah, 51452, Saudi Arabia - (B.Yousif@qu.edu.sa)
  • 6 College of Pharmacy, National University of Science and Technology, Dhi Qar, Iraq - (rawan-a.shlaka@nust.edu.iq)
  • 7 Curricula and Teaching Methods Department, College of Education, King Faisal University, Al-Ahsa 31982, Saudi Arabia - (maladail@kfu.edu.sa)

    • Doi: https://doi.org/10.54216/IJNS.230401

    Received: July 13, 2023 Revised: November 29, 2023 Accepted: February 25, 2024
    Abstract

    A soft expert set(SES) is a concept that combines elements of soft sets and expert systems. It aims to incorporate expert knowledge and uncertainty-handling capabilities into the analysis and decision-making processes. On the other hand, the idea of single neutrosophic sets (SVNSs) and fuzzy sets (FSs) are imported models for handling the uncertainty data. In this work, the authors combine the critical features of FSs and SVNSs under expert systems in one model. Accordingly, this model worked to provide decision-makers with more flexibility in the process of interpreting uncertain information. From a scientific point of view, the process of evaluating this high-performance SVNFSES disappears. Therefore, in this paper, we initiated a new approach known as single-valued neutrosophic fuzzy soft expert sets (SVNFSESs) as a new development in a fuzzy soft computing environment. We investigate some fundamental operations on SVNFSESS along with their basic properties. Also, we investigate AND and OR operations between two SVNFSESS as well as several numerical examples to clarify the above fundamental operations. Finally, we have given an Orthogonal Distance and Similarity for SVNFSESs to construct a new algorithm to demonstrate the method’s effectiveness in handling some real-life applications.

    Keywords :

    Neutrosophic sets , neutrosophic soft sets , Single-valued neutrosophic soft sets , expert soft set , optimization , Decision Making.

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    Cite This Article As :
    Al-Sharqi, Faisal. , Al-Quran, Ashraf. , Abd, Hamiden. , Alqahtani, Haifa. , A., Badria. , A., Rawan. , Aladil, Mona. Orthogonal distance and similarity for single-valued neutrosophic fuzzy soft expert environment and its application in decision-making. International Journal of Neutrosophic Science, vol. , no. , 2024, pp. 08-22. DOI: https://doi.org/10.54216/IJNS.230401
    Al-Sharqi, F. Al-Quran, A. Abd, H. Alqahtani, H. A., B. A., R. Aladil, M. (2024). Orthogonal distance and similarity for single-valued neutrosophic fuzzy soft expert environment and its application in decision-making. International Journal of Neutrosophic Science, (), 08-22. DOI: https://doi.org/10.54216/IJNS.230401
    Al-Sharqi, Faisal. Al-Quran, Ashraf. Abd, Hamiden. Alqahtani, Haifa. A., Badria. A., Rawan. Aladil, Mona. Orthogonal distance and similarity for single-valued neutrosophic fuzzy soft expert environment and its application in decision-making. International Journal of Neutrosophic Science , no. (2024): 08-22. DOI: https://doi.org/10.54216/IJNS.230401
    Al-Sharqi, F. , Al-Quran, A. , Abd, H. , Alqahtani, H. , A., B. , A., R. , Aladil, M. (2024) . Orthogonal distance and similarity for single-valued neutrosophic fuzzy soft expert environment and its application in decision-making. International Journal of Neutrosophic Science , () , 08-22 . DOI: https://doi.org/10.54216/IJNS.230401
    Al-Sharqi F. , Al-Quran A. , Abd H. , Alqahtani H. , A. B. , A. R. , Aladil M. [2024]. Orthogonal distance and similarity for single-valued neutrosophic fuzzy soft expert environment and its application in decision-making. International Journal of Neutrosophic Science. (): 08-22. DOI: https://doi.org/10.54216/IJNS.230401
    Al-Sharqi, F. Al-Quran, A. Abd, H. Alqahtani, H. A., B. A., R. Aladil, M. "Orthogonal distance and similarity for single-valued neutrosophic fuzzy soft expert environment and its application in decision-making," International Journal of Neutrosophic Science, vol. , no. , pp. 08-22, 2024. DOI: https://doi.org/10.54216/IJNS.230401

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