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International Journal of Neutrosophic Science

Volume 20 , Issue 1 , PP: 85-105, 2023 | Cite this article as | XML | Html | PDF | Full Length Article

Medical diagnosis decision making using type-II generalized Pythagorean neutrosophic interval valued soft sets

M. Palanikumar 1 * , K. Arulmozhi 2 , Aiyared Iampan 3 , Said Broumi 4

  • 1 Department of Advanced Mathematical Science, Saveetha School of Engineering, Saveetha University, Saveetha Institute of Medical and Technical Sciences, Chennai-602105, India - (palanimaths86@gmail.com)
  • 2 Department of Mathematics, Bharath Institute of Higher Education and Research, Tamil Nadu, Chennai-600073, India - (arulmozhiems@gmail.com)
  • 3 Fuzzy Algebras and Decision-Making Problems Research Unit, Department of Mathematics, School of Science, University of Phayao, Mae Ka, Mueang, Phayao 56000, Thailand - (aiyared.ia@up.ac.th)
  • 4 Laboratory of Information Processing, Faculty of Science Ben M’Sik, Universit´s Hassan II, BP 7955 Casablanca, Morocco - (broumisaid78@gmail.com)

    • Doi: https://doi.org/10.54216/IJNS.200108

    Received: July 26, 2022 Accepted: December 16, 2022
    Abstract

    The theory of type-II generalized Pythagorean neutrosophic interval valued soft set (Type-II PyNSIVS) and its application to real problems are introduced in this study. Additionally, we define a few operations using the type-II PyNSIVS set. The Pythagorean neutrosophic interval valued soft (PyNSIVS) set and Pythagorean fuzzy soft set are both generalized to form the type-II PyNSIVS set. Complement, union, intersection, AND, and OR are some examples of operations that we define. In particular, we demonstrate the applicability of De Morgan’s laws, associative laws, and distributive laws in type-II PyNSIVS set. The proposed similarity measure of type-II GPyNSIVS sets serves as the foundation for a strategy we provide for a medical diagnosis challenge. This method of comparing two type-II GPyNSIVS sets can be used to determine if a sick person has a particular disease or not. We support a method using the type-II generalized soft set model to tackle the decision making (DM) problem. We describe the use of a similarity measure between two type-II GPyNSIVS sets in a medical diagnosis situation. To demonstrate how they can be utilized to successfully address issues with uncertainties, illustrative examples are given.

    Keywords :

    Type-II GPyNSIVS set , PyNSIVS set , decision making problem.

    References

    [1] S. Alkhazaleh, A. R. Salleh, Generalized interval-valued fuzzy soft set, Journal of Applied Mathematics,

    vol. 2012, Article ID 870504, 18 pages, 2012.

    [2] S. Alkhazaleh, A. R. Salleh, N. Hassan, Possibility fuzzy soft set, Advances in Decision Sciences, vol.

    2011, Article ID 479756, 18 pages, 2011.

    [3] A. B. AL-Nafee, S. Broumi, L. A. Swidi, n-Valued refined neutrosophic crisp sets, International Journal

    of Neutrosophic Science, vol. 17, no. 2, pp. 87-95, 2021.

    [4] K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, vol. 20, no. 1, pp. 87-96, 1986.

    [5] B. C. Cuong, Picture fuzzy sets, Journal of Computer Science and Cybernetics, vol. 30, no. 4, pp. 409-

    420, 2014.

    [6] B. C. Cuong, V. Kreinovich, Picture fuzzy sets a new concept for computational intelligence problems,

    Proceedings of 2013 Third World Congress on Information and Communication Technologies (WICT

    2013), IEEE, pp. 1-6, 2013.

    [7] S. Dhouib, S. Broumi, M. Lathamaheswari, Single valued trapezoidal neutrosophic travelling salesman

    problem with novel Greedy method: the Dhouib-Matrix-TSP1 (DM-TSP1), International Journal of Neutrosophic

    Science, vol. 17, no. 2, pp. 144-157, 2021.

    [8] R. Jansi, K. Mohana, F. Smarandache, Correlation measure for Pythagorean neutrosophic sets with T and

    F as dependent neutrosophic components, Neutrosophic Sets and Systems, vol. 30, pp. 202-212, 2019.

    [9] F. Karaaslan, Possibility neutrosophic soft sets and PNS-decision making method, Applied Soft Computing,

    vol. 54, pp. 403-414, 2017.

    [10] M. Lathamaheswari, S. Broumi, F. Smarandache, S. Sudha, Neutrosophic perspective of neutrosophic

    probability distributions and its application, International Journal of Neutrosophic Science, vol. 17, no.

    2, pp. 96-109, 2021.

    [11] P. K. Maji, R. Biswas, A. R. Roy, Fuzzy soft set, Journal of Fuzzy Mathematics, vol. 9, no. 3, pp. 589-602,

    2001.

    [12] P. K. Maji, R. Biswas, A. R. Roy, Intuitionistic fuzzy soft sets, Journal of Fuzzy Mathematics, vol. 9, no.

    3, pp. 677-692, 2001.

    [13] P. Majumdar, S. K. Samantab, Generalized fuzzy soft sets, Computers and Mathematics with Applications,

    vol. 59, pp. 1425-1432, 2010.

    [14] D. Molodtsov, Soft set theory first results, Computers and Mathematics with Applications, vol. 37, pp.

    19-31, 1999.

    [15] M. Palanikumar, K. Arulmozhi, On various ideals and its applications of bisemirings, Gedrag and Organisatie

    Review, vol. 33, no. 2, pp. 522-533, 2020.

    [16] M. Palanikumar, K. Arulmozhi, On intuitionistic fuzzy normal subbisemirings of bisemirings, Nonlinear

    Studies, vol. 28, no. 3, pp. 717-721, 2021.

    [17] M. Palanikumar, K. Arulmozhi, On new ways of various ideals in ternary semigroups, Matrix Science

    Mathematic, vol. 4, no. 1, pp. 6-9, 2020.

    [18] M. Palanikumar, K. Arulmozhi, (α, β)-Neutrosophic subbisemiring of bisemiring, Neutrosophic Sets

    and Systems, vol. 48, pp. 368-385, 2022.

    [19] M. Palanikumar, K. Arulmozhi, On various tri-ideals in ternary semirings, Bulletin of the International

    Mathematical Virtual Institute, vol. 11, no. 1, pp. 79-90, 2021.

    [20] M. Palanikumar, K. Arulmozhi, On Pythagorean normal subbisemiring of bisemiring, Annals of Communications

    in Mathematics, vol. 4, no. 1, pp. 63-72, 2021.

    [21] M. Palanikumar, K. Arulmozhi, On various almost ideals of semirings, Annals of Communications in

    Mathematics, vol. 4, no. 1, 17-25, 2021.

    [22] X. D. Peng, Y. Yang, J. P. Song, Pythagorean fuzzy soft set and its application, Computer Engineering,

    vol. 41, no. 7, pp. 224-229, 2015.

    [23] F. Smarandache, A unifying field in logics. Neutrosophy: neutrosophic probability, set and logic, American

    Research Press, Rehoboth, 1999.

    [24] R. R. Yager, Pythagorean membership grades in multi criteria decision-making, IEEE Transactions on

    Fuzzy Systems, vol. 22, no. 4, pp. 958-965, 2014.

    [25] Y. Yang, C. Liang, S. Ji, T. Liu, Adjustable soft discernibility matrix based on picture fuzzy soft sets and

    its applications in decision making, Journal of Intelligent and Fuzzy Systems, vol. 29, pp. 1711-1722,

    2015.

    [26] L. A. Zadeh, Fuzzy sets, Information and Control, vol. 8, no. 3, pp. 338-353, 1965.

    Cite This Article As :
    Palanikumar, M.. , Arulmozhi, K.. , Iampan, Aiyared. , Broumi, Said. Medical diagnosis decision making using type-II generalized Pythagorean neutrosophic interval valued soft sets. International Journal of Neutrosophic Science, vol. , no. , 2023, pp. 85-105. DOI: https://doi.org/10.54216/IJNS.200108
    Palanikumar, M. Arulmozhi, K. Iampan, A. Broumi, S. (2023). Medical diagnosis decision making using type-II generalized Pythagorean neutrosophic interval valued soft sets. International Journal of Neutrosophic Science, (), 85-105. DOI: https://doi.org/10.54216/IJNS.200108
    Palanikumar, M.. Arulmozhi, K.. Iampan, Aiyared. Broumi, Said. Medical diagnosis decision making using type-II generalized Pythagorean neutrosophic interval valued soft sets. International Journal of Neutrosophic Science , no. (2023): 85-105. DOI: https://doi.org/10.54216/IJNS.200108
    Palanikumar, M. , Arulmozhi, K. , Iampan, A. , Broumi, S. (2023) . Medical diagnosis decision making using type-II generalized Pythagorean neutrosophic interval valued soft sets. International Journal of Neutrosophic Science , () , 85-105 . DOI: https://doi.org/10.54216/IJNS.200108
    Palanikumar M. , Arulmozhi K. , Iampan A. , Broumi S. [2023]. Medical diagnosis decision making using type-II generalized Pythagorean neutrosophic interval valued soft sets. International Journal of Neutrosophic Science. (): 85-105. DOI: https://doi.org/10.54216/IJNS.200108
    Palanikumar, M. Arulmozhi, K. Iampan, A. Broumi, S. "Medical diagnosis decision making using type-II generalized Pythagorean neutrosophic interval valued soft sets," International Journal of Neutrosophic Science, vol. , no. , pp. 85-105, 2023. DOI: https://doi.org/10.54216/IJNS.200108

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