International Journal of Neutrosophic Science

Journal DOI

https://doi.org/10.54216/IJNS

Submit Your Paper

2690-6805ISSN (Online) 2692-6148ISSN (Print)

Volume 19 , Issue 4 , PP: 08-28, 2022 | Cite this article as | XML | Html | PDF | Full Length Article

Multiple attribute decision making for square root diophantine neutrosophic interval-valued sets and their aggregated operators

M. Palanikumar 1 * , Said Broumi 2

  • 1 Department of Mathematics, Saveetha School of Engineering, Saveetha University, Saveetha Institute of Medical and Technical Sciences, Chennai-602105, India - (palanimaths86@gmail.com)
  • 2 Laboratory of Information Processing, Faculty of Science Ben MSik, University of Hassan II, Casablanca, Morocco;Regional Center for the Professions of Education and Training (C.R.M.E.F), Casablanca-Settat, Morocco - (broumisaid78@gmail.com)
  • Doi: https://doi.org/10.54216/IJNS.190401

    Received: April 28, 2022 Accepted: November 15, 2022
    Abstract

    Square root Diophantine neutrosophic interval-valued set (SRDioNIVS) approaches to multiple attribute decisionmaking

    (MADM) problems. The square root neutrosophic sets, interval-valued Diophantine neutrosophic sets

    are both extensions of square root Diophantine neutrosophic sets. In this section, we discuss aggregating operations

    and how those interprtautions have evolved over time. The paper is focused on a novel idea known

    as square root neutrosophic interval-valued weighted averaging (SRDioNIVWA), square root neutrosophic

    interval-valued weighted geometric (SRDioNIVWG), generalized square root neutrosophic interval-valued

    weighted averaging (GSRDioNIVWA), and generalized square root neutrosophic interval-valued weighted geometric

    (GSRDioNIVWG). We also begin an algorithm using these operators. The use of the euclidean and

    hamming distances is described, and examples from real-world problems are inserted. As a result, the defined

    models are more accurate and closely tied to Ξ. In order to show the reliability and usefulness of the models

    under examination, we also compare a few of the proposed and current models. The study’s results are also

    fascinating and intriguing.

    Keywords :

    SRDioNIVWA , SRDioNIVWG , GSRDioNIVWA , GSRDioNIVWG

    References

    [1] M. Akram, W. A. Dudek, Farwa Ilyas, Group decision making based on Pythagorean fuzzy TOPSIS

    method, Int. J. Intelligent System, 34, (2019), 1455-1475.

    [2] M. Akram, W. A. Dudek, J. M. Dar, Pythagorean Dombi Fuzzy Aggregation Operators with Application

    in Multi-criteria Decision-making, International Journal of Intelligent Systems, 34,(2019), 3000-3019.

    [3] M. Akram, X. Peng, A. N. Al-Kenani, A. Sattar, Prioritized weighted aggregation operators under complex

    Pythagorean fuzzy information, Journal of Intelligent and Fuzzy Systems, 39(3), (2020), 4763-4783.

    [4] T.M. Al-shami, H.Z. Ibrahim, A. A. Azzam , and A.I. EL-Maghrabi, square root-fuzzy sets and their

    weighted aggregated operators in application to decision-making, Journal of Function Spaces, 2022, 1-

    14, 2022.

    [5] K. Atanassov, Intuitionistic fuzzy sets, Fuzzy sets and Systems, 20(1), (1986), 87-96.

    [6] P.A. Ejegwa, Distance and similarity measures for Pythagorean fuzzy sets, Granular Computing, (2018),

    1-17.

    [7] C. L. Hwang, K. Yoon, Multiple attributes decision-making methods and applications, Springer, Berlin

    Heidelberg, 1981.

    [8] C. Jana and M. Pal, Application of bipolar intuitionistic fuzzy soft sets in decision-making problem,

    International Journal of Fuzzy System Applications, 7(3), (2018), 32-55.

    [9] C. Jana and M. Pal, Multi criteria decision-making process based on some single valued neutrosophic

    dombi power aggregation operators, Soft Computing, 25(7), (2021), 5055-5072.

    [10] C. Jana and M. Pal, A robust single valued neutrosophic soft aggregation operators in multi criteria

    decision-making, Symmetry, 11(110), (2019), 1-19.

    [11] C. Jana, T. Senapati and M. Pal, Pythagorean fuzzy dombi aggregation operators and its applications

    in multiple attribute decision-making, International Journal of Intelligent Systems, 34(9), (2019), 2019-

    2038.

    [12] C. Jana, M. Pal, and J. Wang, A robust aggregation operator for multi criteria decision-making method

    with bipolar fuzzy soft environment, Iranian Journal of Fuzzy Systems, 16(6), (2019), 1-16.

    [13] C. Jana, G. Muhiuddin and M. Pal, Multi criteria decision-making approach based on SVTrN Dombi

    aggregation functions, Artificial Intelligence Review, 54(4), (2021), 3685-3723.

    [14] C. Jana, M. Pal, F. Karaaslan and J. Q. Wang, Trapezoidal neutrosophic aggregation operators and their

    application to the multi-attribute decision-making process, Scientia Iranica, 27(3), (2020), 1655-1673

    [15] C. Jana, Multiple attribute group decision-making method based on extended bipolar fuzzy MABAC

    approach. Comp. Appl. Math. 40, 227, (2021), 1-17.

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

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

    [17] M. Palanikumar, K. Arulmozhi, and C. Jana, Multiple attribute decision-making approach for

    Pythagorean neutrosophic normal interval-valued aggregation operators, Comp. Appl. Math. 41(90),

    (2022), 1-27.

    [18] Palanikumar,M.; Arulmozhi, K.; On vague subbisemirings of bisemirings, Bulletin of the International

    Mathematical Virtual Institute, 2022; Vol. 11(3). pp. 419-428.

    [19] Palanikumar,M.; Iampan, A.; Spherical fermatean interval valued fuzzy soft set based on multi criteria

    group decision making, International Journal of Innovative Computing, Information and Control, 2022;

    Vol. 18(2). pp. 607-619.

    [20] Palanikumar,M.; Iampan, A.; Novel approach to decision making based on type-II generalized fermatean

    bipolar fuzzy soft sets, 2022; International Journal of Innovative Computing, Information and Control,

    Vol. 18(3). pp. 769-781.

    [21] Palanikumar,M.; Iampan, A.; Lejo J. Manavalan; M-Bi-base generator of ordered gamma-semigroups,

    2022; ICIC Express Letters Part-B, Vol. 13(8). pp. 795-802.

    [22] Palanikumar,M.; Arulmozhi, K.; (α, β)-neutrosophic subbisemiring of bisemiring, 2022; Neutrosophic

    Sets and Systems, Vol. 48, pp. 368-385.

    [23] Palanikumar,M.; Arulmozhi, K.; On New Ways of various ideals in ternary semigroups, 2020; Matrix

    Science Mathematic, Vol. 4(1). pp. 06-09.

    [24] Palanikumar,M.; Arulmozhi, K.; On Various Tri-ideals in ternary Semirings, 2021; Yulletin of the International

    Mathematical Virtual Institute, Vol. 11(1). pp. 79-90.

    [25] Palanikumar,M.; Arulmozhi, K.; On intuitionistic fuzzy normal subbisemiring of bisemiring, 2021; Nonlinear

    Studies, Vol. 28(3). pp.717-721.

    [26] X. Peng, and Y. Yang, Fundamental properties of interval valued pythagorean fuzzy aggregation operators,

    International Journal of Intelligent Systems, (2015), 1-44.

    [27] X. D. Peng and J. Dai, Approaches to single-valued neutrosophic MADM based on MABAC, TOPSIS

    and new similarity measure with score function, Neural Computing and Applications, 29(10), (2018),

    939-954.

    [28] K. Rahman, S. Abdullah,, M. Shakeel, MSA. Khan and M. Ullah, Interval valued Pythagorean fuzzy

    geometric aggregation operators and their application to group decision-making problem, Cogent Mathematics,

    4, (2017), 1-19.

    [29] K. Rahman, A. Ali, S. Abdullah and F. Amin, Approaches to multi attribute group decision-making

    based on induced interval valued Pythagorean fuzzy Einstein aggregation operator, New Mathematics

    and Natural Computation, 14(3), (2018), 343-361.

    [30] G. Shahzadi, M. Akram and A. B. Saeid, An application of single-valued neutrosophic sets in medical

    diagnosis, Neutrosophic Sets and Systems, 18, (2017), 80-88.

    [31] P.K. Singh, Single-valued neutrosophic context analysis at distinct multi-granulation. Comp. Appl. Math.

    38, 80 (2019), 1-18.

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

    Research Press, Rehoboth, (1999).

    [33] K. Ullah, T. Mahmood, Z. Ali and N. Jan, On some distance measures of complex Pythagorean fuzzy

    sets and their applications in pattern recognition, Complex and Intelligent Systems, (2019), 1-13.

    [34] R.N. Xu and C.L. Li, Regression prediction for fuzzy time series, Appl. Math. J. Chinese Univ., 16,

    (2001), 451-461.

    [35] R. R. Yager, Pythagorean membership grades in multi criteria decision-making, IEEE Trans. Fuzzy Systems,

    22, (2014), 958-965.

    [36] Z. Yang, J. Chang, Interval-valued Pythagorean normal fuzzy information aggregation operators for multiple

    attribute decision making approach, IEEE Access, 8, (2020), 51295-51314.

    [37] M.S Yang, C.H. Ko, On a class of fuzzy c-numbers clustering procedures for fuzzy data, Fuzzy Sets and

    Systems, 84, (1996), 49-60.

    [38] L. A. Zadeh, Fuzzy sets, Information and control, 8(3), (1965), 338-353.

    [39] X. Zhang and Z. Xu, Extension of TOPSIS to multiple criteria decision-making with Pythagorean fuzzy

    sets, International Journal of Intelligent Systems, 29, (2014), 1061-1078.

     

    Cite This Article As :
    Palanikumar, M.. , Broumi, Said. Multiple attribute decision making for square root diophantine neutrosophic interval-valued sets and their aggregated operators. International Journal of Neutrosophic Science, vol. , no. , 2022, pp. 08-28. DOI: https://doi.org/10.54216/IJNS.190401
    Palanikumar, M. Broumi, S. (2022). Multiple attribute decision making for square root diophantine neutrosophic interval-valued sets and their aggregated operators. International Journal of Neutrosophic Science, (), 08-28. DOI: https://doi.org/10.54216/IJNS.190401
    Palanikumar, M.. Broumi, Said. Multiple attribute decision making for square root diophantine neutrosophic interval-valued sets and their aggregated operators. International Journal of Neutrosophic Science , no. (2022): 08-28. DOI: https://doi.org/10.54216/IJNS.190401
    Palanikumar, M. , Broumi, S. (2022) . Multiple attribute decision making for square root diophantine neutrosophic interval-valued sets and their aggregated operators. International Journal of Neutrosophic Science , () , 08-28 . DOI: https://doi.org/10.54216/IJNS.190401
    Palanikumar M. , Broumi S. [2022]. Multiple attribute decision making for square root diophantine neutrosophic interval-valued sets and their aggregated operators. International Journal of Neutrosophic Science. (): 08-28. DOI: https://doi.org/10.54216/IJNS.190401
    Palanikumar, M. Broumi, S. "Multiple attribute decision making for square root diophantine neutrosophic interval-valued sets and their aggregated operators," International Journal of Neutrosophic Science, vol. , no. , pp. 08-28, 2022. DOI: https://doi.org/10.54216/IJNS.190401