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International Journal of Neutrosophic Science

Volume 23 , Issue 3 , PP: 140-147, 2024 | Cite this article as | XML | Html | PDF | Full Length Article

Selection of the best process for desalination under a Treesoft set environment using the multi-criteria decision-making method

G. Dhanalakshmi 1 * , S. Sandhiya 2 , Florentin Smarandache 3

  • 1 Department of Mathematics, Vels Institute of Science, Technology and Advanced Studies, Chennai, Tamilnadu, India - (dlklal.govardhan@gmail.com)
  • 2 Department of Mathematics, Vels Institute of Science, Technology and Advanced Studies, Chennai, Tamilnadu, India - (sandhyasundarr@gmail.com)
  • 3 Department of Mathematics, University of New Mexico, Gallup, NM 87301, USA. - (smarand@unm.edu)

    • Doi: https://doi.org/10.54216/IJNS.230312

    Received: August 14, 2023 Revised: November 28, 2023 Accepted: January 29, 2024
    Abstract

    Multi-criteria decision-making (MCDM), which has been called a revolution in the field, is one of the most exact methods for making decisions. Multicriteria decision-making (MCDM) is the process of selecting options by considering multiple criteria to determine which is best. A multitude of applications in engineering, design, and finance are possible with the tools and methods derived from MCDM. Application-oriented problems with multiple criteria involve ambiguous and more inaccurate options, to deal with this ambiguity Smarandache introduced Treesoft sets, which are an extension of hypersoft sets. So, in this paper, we will consider a real-life application-oriented problem “Desalination process” under the treesoft sets environment and find the best method for desalination using one of the MCDM methods.

    Keywords :

    Desalination , Multi-criteria Decision Making , Treesoft Set , Neutrosophic set

    References

    [1] Abbas, M, Murtaza.G & Smarandache,F. “Basic operations on hypersoft sets and hypersoft point”. Neutrosophic sets and systems, vol.35, no. 1, pp. 407-421 (2020).

    [2] Atanassov, K. Intuitionistic fuzzy sets. “Fuzzy sets and systems”, vol. 20,0 no.1, pp. 87-96 (1986). http://dx.doi.org/10.1016/S0165-0114(86)80034-3

    [3] Cagman, N., Enginoglu, S., & Citak,F. “Fuzzy soft set theory and its applications”, Iranian journal of fuzzy systems, vol.8, no.3, pp.137-147(2011). 10.22111/IJFS.2011.292

    [4] Khalid Abd, Kazem Abhary, Romeo Marian. “Application of Fuzzy Logic to Multi-Objective Scheduling Problems in Robotic Flexible Assembly Cells”. Automation Control and Intelligent Systems. vol. 1, No. 3, 2013, pp. 34-41. 10.11648/j.acis.20130103.11

    [5] Kong, Z., Wang., L., Wu, Z. “Application of fuzzy soft set in decision making problems based on grey theory” . J. Comput. Appl. Math.,vol. 236, pp. 1521-1530(2011). https://doi.org/10.1016/j.cam.2011.09.016

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    [8] Smarandache, F. ‘ Extension of soft sets to hypersoft set, and then to plithogenic hypersoft set, “ Neutrosophic Sets and system, vol. 22, pp. 168-170,(2018). 10.5281/zenodo.1408740

    [9] Smarandache, F. “ Practical applications of IndetermSoft sets and IndetermHypersoft sets and Introduction to Treesoft set as an extension of Multisoft set, “ Neutrosophic Sets and System, vol.51, pp. 941-947, (2022). 10.5281/zenodo.7154238

    [10] Smarandache, F. “New types of Soft sets, HyperSoft sets, IndetermSoft sets, IndetermHyperSoft set, and TreeSoft set”, Neutrosophic Sets and System, vol.8 (2023) https://doi.org/10.61356/j.nswa.2023.41.

    [11] Yildiray Celik and Sultan Yamak, “Fuzzy soft set theory applied to medical diagnosis using fuzzy arithmetic operations” vol.1, no. 82 (2013). https://doi.org/10.1186/1029-242X-2013-82

    [12] Zadeh L.A. “Fuzzy sets, Information  and Control” vol. 8, pp. 338-353 (1965). https://doi.org/10.1016/S0019-9958(65)90241-X

    Cite This Article As :
    Dhanalakshmi, G.. , Sandhiya, S.. , Smarandache, Florentin. Selection of the best process for desalination under a Treesoft set environment using the multi-criteria decision-making method. International Journal of Neutrosophic Science, vol. , no. , 2024, pp. 140-147. DOI: https://doi.org/10.54216/IJNS.230312
    Dhanalakshmi, G. Sandhiya, S. Smarandache, F. (2024). Selection of the best process for desalination under a Treesoft set environment using the multi-criteria decision-making method. International Journal of Neutrosophic Science, (), 140-147. DOI: https://doi.org/10.54216/IJNS.230312
    Dhanalakshmi, G.. Sandhiya, S.. Smarandache, Florentin. Selection of the best process for desalination under a Treesoft set environment using the multi-criteria decision-making method. International Journal of Neutrosophic Science , no. (2024): 140-147. DOI: https://doi.org/10.54216/IJNS.230312
    Dhanalakshmi, G. , Sandhiya, S. , Smarandache, F. (2024) . Selection of the best process for desalination under a Treesoft set environment using the multi-criteria decision-making method. International Journal of Neutrosophic Science , () , 140-147 . DOI: https://doi.org/10.54216/IJNS.230312
    Dhanalakshmi G. , Sandhiya S. , Smarandache F. [2024]. Selection of the best process for desalination under a Treesoft set environment using the multi-criteria decision-making method. International Journal of Neutrosophic Science. (): 140-147. DOI: https://doi.org/10.54216/IJNS.230312
    Dhanalakshmi, G. Sandhiya, S. Smarandache, F. "Selection of the best process for desalination under a Treesoft set environment using the multi-criteria decision-making method," International Journal of Neutrosophic Science, vol. , no. , pp. 140-147, 2024. DOI: https://doi.org/10.54216/IJNS.230312

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