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Journal of Neutrosophic and Fuzzy Systems

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Journal of Neutrosophic and Fuzzy Systems

Volume 4 , Issue 1 , PP: 15-20, 2022 | Cite this article as | XML | Html | PDF

A Combined Use of Soft and Neutrosophic Sets for Student Assessment with Qualitative Grades

Michael Voskoglou 1 * , Said Broumi 2 , Florentin Smarandache 3

  • 1 Department of Mathematical Sciences, University of Peloponnese (Ex Graduate TEI of Western Greece), Greece - (voskoglou@teiwest.gr)
  • 2 Laboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, Casablanca, Morocco ;Regional Center for the Professions of Education and Training (C.R.M.E.F), Casablanca-Settat, Morocco - (broumisaid78@gmail.com)
  • 3 Department of Mathematics, University of New Mexico, USA - (fsmarandache@gmail.com)

    • Doi: https://doi.org/10.54216/JNFS.040102

    Received: April 11, 2022 Accepted: August 14, 2022
    Abstract

    A hybrid assessment method of a group’s overall performance with respect to a certain activity is developed in this paper using soft and neutrosophic sets as tools and it is applied for student assessment. The present method is compared with another method developed in an earlier authors’ work, which uses soft sets and grey numbers as tools for the assessment.

    Keywords :

    Fuzzy Set (FS) , Neutrosophic Set (NS) , Soft Set (SS) , Assessment under fuzzy conditions

    References

    [1] Voskoglou, M.Gr., Methods for Assessing Human-Machine Performance under Fuzzy Conditions.

    Mathematics, 7, article 230, 2019.

    [2] Voskoglou, M.Gr. and Broumi, S., A Hybrid Method for the Assessment of Analogical Reasoning

    Skills, Journal of Fuzzy Extension and Applications, 3(2), 152-157, 2022.

    [3] Deng, J., Control Problems of Grey Systems, Systems and Control Letters, 288-294, 1982.

    [4] Moore, R.A., Kearfort, R.B., Clood, M.G., Introduction to Interval Analysis, 2nd ed., SIAM,

    Philadelphia, PA, USA, 1995.

    [5] Zadeh, L.A. Fuzzy Sets. Inf. Control, 8, 338–353, 1965.

    [6] Klir, G.J. and Folger, T.A., Fuzzy sets, Uncertainty and Information, Prentice-Hall, London, 1988

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    [8] Atanassov, K.T., Intuitionistic Fuzzy Sets, Physica-Verlag, Heidelberg, N.Y., 1999.

    [9] Smarandache, F., Neutrosophy / Neutrosophic Probability, Set, and Logic, Proquest, Michigan, USA,

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    [10] Smarandache, F., Indeterminacy in Neutrosophic Theories and their Applications, International Journal

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    Review of the Air Force Academy (Brasov), 1(16), 10-14, 2010.

    [12] Cuong, B.C., Picture Fuzzy Sets, Journal of Computer Science and Cybernetics, 30(4), 409-420, 2014.

    [13] Dubois, D. and Prade, H., Interval-Valued Fuzzy Sets, Possibility Theory and Imprecise Probability,

    Proceedings EUSFLAT-LFA, 314-319, 2005.

    [14] Pawlak, Z., Rough Sets: Aspects of Reasoning about Data, Kluer Academic Publishers, Dordrecht,

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    [15] Molodtsov, D., Soft set theory – first results, Computers and Mathematics with Applications, 37(4-5),

    19-31, 1999.

    [16] Maji, P.K., Biswas, R., & Roy, A.R., Soft Set Theory, Computers and Mathematics with Applications,

    45, 555-562, 2003.

    [17] Smarandache, F., Subtraction and Division of Neutrosophic Numbers, Critical Review, Vol. XIII, 103-

    110, 2016.

    [18] Voskoglou, M.Gr., A Combined Use of Softs Sets and Grey Numbers in Decision Making, Journal of

    Computational and Cognitive Engineering, 2022, DOI: 10.47852/bonviewJCCE2202237 (in press).

    [19] Voskoglou, M.Gr., Generalizations of Fuzzy Sets and Related Theories, in M. Voskoglou (Ed.), An

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    Cite This Article As :
    Michael Voskoglou, Said Broumi, Florentin Smarandache. "A Combined Use of Soft and Neutrosophic Sets for Student Assessment with Qualitative Grades." Full Length Article, Vol. 4, No. 1, 2022 ,PP. 15-20 (Doi   :  https://doi.org/10.54216/JNFS.040102)
    Michael Voskoglou, Said Broumi, Florentin Smarandache. (2022). A Combined Use of Soft and Neutrosophic Sets for Student Assessment with Qualitative Grades. Journal of , 4 ( 1 ), 15-20 (Doi   :  https://doi.org/10.54216/JNFS.040102)
    Michael Voskoglou, Said Broumi, Florentin Smarandache. "A Combined Use of Soft and Neutrosophic Sets for Student Assessment with Qualitative Grades." Journal of , 4 no. 1 (2022): 15-20 (Doi   :  https://doi.org/10.54216/JNFS.040102)
    Michael Voskoglou, Said Broumi, Florentin Smarandache. (2022). A Combined Use of Soft and Neutrosophic Sets for Student Assessment with Qualitative Grades. Journal of , 4 ( 1 ), 15-20 (Doi   :  https://doi.org/10.54216/JNFS.040102)
    Michael Voskoglou, Said Broumi, Florentin Smarandache. A Combined Use of Soft and Neutrosophic Sets for Student Assessment with Qualitative Grades. Journal of , (2022); 4 ( 1 ): 15-20 (Doi   :  https://doi.org/10.54216/JNFS.040102)
    Michael Voskoglou, Said Broumi, Florentin Smarandache, A Combined Use of Soft and Neutrosophic Sets for Student Assessment with Qualitative Grades, Journal of , Vol. 4 , No. 1 , (2022) : 15-20 (Doi   :  https://doi.org/10.54216/JNFS.040102)

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