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International Journal of Neutrosophic Science

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International Journal of Neutrosophic Science

Volume 23 , Issue 1 , PP: 341-349, 2024 | Cite this article as | XML | Html | PDF | Full Length Article

A Study on Interval Valued Temporal Neutrosophic Fuzzy Sets

K. Rajesh 1 * , Sharmila Rathod 2 , Jyoti Kundale 3 , Nilesh Rathod 4 , M. Clement Joe Anand 5 , Utpal Saikia 6 , Mohit Tiwari 7 , Nivetha Martin 8

  • 1 Department of Mathematics, Government Arts and Science College for Women, Krishnagiri, Tamil Nadu – 635 108, India. - (rajeshagm@gmail.com)
  • 2 Department of Computer Engineering, Mcts Rajiv Gandhi Institute of Technology, Andheri West, Mumbai – 400053, India. - (sharmila.gaikwad@mctrgit.ac.in)
  • 3 Department of Information Technology, Ramrao Adik Institute of Technology, Nerul, Navi Mumbai – 400706, India. - (jyojadhav04@gmail.com)
  • 4 Department of Artificial Intelligence and Machine Learning, DJ Sanghvi College of Engineering, Mumbai – 400056, India. - (nileshpop@gmail.com)
  • 5 Department of Mathematics, Mount Carmel College (Autonomous), Bengaluru-560052, Karnataka, India - (arjoemi@gmail.com)
  • 6 Department of Mathematics, Silapathar College, Dhemaji, Assam – 787059, India. - (utpalsaikiajorhat@gmail.com)
  • 7 Department of Computer Science and Engineering, Bharati Vidyapeeth’s College of Engineering, Delhi -110063, India. - (mohit.tiwari@bharatividyapeeth.edu)
  • 8 Department of Mathematics, Arul Anandar College (Autonomous), Karumathur-625514, Tamil Nadu, India. - (nivetha.martin710@gmail.com)

    • Doi: https://doi.org/10.54216/IJNS.230129

    Received: May 21, 2023 Revised: August 11, 2023 Accepted: December 13, 2023
    Abstract

    In this research, we introduce the Interval Valued Temporal Neutrosophic Fuzzy Sets (IVTNFS) and some of its basic operations. Also, examine some of their properties. The Neutrosophic Fuzzy Sets of membership and non-membership values are not always possible up to our satisfaction, but the IVTNFS part has a more important role here, because the time movement with an interval in NFS gave the best solution to making a decision, deciding their careers in our real-life situation.

    Keywords :

    Intuitionistic Fuzzy Sets , Temporal Intuitionistic Fuzzy Sets , Neutrosophic Fuzzy Sets , Interval Valued Neutrosophic Fuzzy Sets and Interval Valued Intuitionistic Fuzzy Sets.

    References

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    [2]         Broumi, S., Mohanaselvi, S., Witczak, T., Talea, M., Bakali, A., & Smarandache, F. (2023). Complex fermatean neutrosophic graph and application to decision making. Decision Making: Applications in Management and Engineering, 6(1), 474-501.

    [3]         Broumi, S., Raut, P. K., & Behera, S. P. (2023). Solving shortest path problems using an ant colony algorithm with triangular neutrosophic arc weights. International Journal of Neutrosophic Science, 20(4), 128-28.

    [4]         Atanassov K. T. and Gargov G., “Interval – Valued Fuzzy Sets”, Fuzzy Sets and Systems, vol. 31,                  pp. 343 – 349, 1989.

    [5]         Atanassov K. T., “Temporal intuitionistic fuzzy sets”, Comptes Rendusdel’ Academie  Bulgare, vol. 7,        pp. 5 – 7, 1991.

    [6]         Anand M.C.J, Janani Bharatraj, “Interval-Valued Neutrosophic Numbers with WASPAS”. In: Kahraman, C., Otay, İ. (eds) Fuzzy Multi-criteria Decision-Making Using Neutrosophic Sets. Studies in Fuzziness and Soft Computing, Springer, Cham, pp.435-453, 2019.

    [7]         De Supriya Kumar, Ranjit Biswas and Akhil Ranjan Roy, “Some operations on intuitionistic fuzzy sets”, Fuzzy Sets and Systems, vol.114, no.3, pp. 477 – 484, 2000.

    [8]         Bharatraj J., M. Clement Joe Anand, “Power harmonic weighted aggregation operator on single-valued trapezoidal neutrosophic numbers and interval-valued neutrosophic sets”. In: Fuzzy Multi-criteria Decision-Making Using Neutrosophic Sets. Springer International Publishing, Cham, pp. 45–62, 2019.

    [9]         Manshath. A, Kungumaraj.E, Lathanayagam. E, Anand, M. Clement. J, Nivetha Martin, Elangovan Muniyandy, S. Indrakumar. (2024). Neutrosophic Integrals by Reduction Formula and Partial Fraction Methods for Indefinite Integrals. International Journal of Neutrosophic Science, 23 (1), 08-16.

    [10]      Sudha. S, Martin. N , Anand. M. C. J., Palanimani. P.G., Thirunamakkani.T., Ranjitha. B., MACBETH – MAIRCA Plithogenic Decision Making on Feasible Strategies of Extended Producer’s Responsibility towards Environmental Sustainability, International Journal of Neutrosophic Science, Vol.22 (2), 2023, 114 – 130.

    [11]      Sinem Yilmaz and Gokhan Cuvalcioglu, “On level operators for temporal Intuitionistic fuzzy sets”,          Notes on Intuitionistic Fuzzy Sets, vol. 20, no. 2, pp. 6 – 15, 2014.

    [12]      Smarandache F, Stanujkic D, Zavadskas EK, Brauers WKM and  Karabasevic DA, “Neutrosophic extension of the MULTI-MOORA method”. Informatica, vol. 28(1), pp. 181–192, 2017.

    [13]      Smarandache F, Zhang YQ, Sunderraman R and Wang H, “Single valued neutrosophic sets. Multispace Multistruct”, vol. 4, pp.410-413, 2010

    Cite This Article As :
    Rajesh, K.. , Rathod, Sharmila. , Kundale, Jyoti. , Rathod, Nilesh. , Clement, M.. , Saikia, Utpal. , Tiwari, Mohit. , Martin, Nivetha. A Study on Interval Valued Temporal Neutrosophic Fuzzy Sets. International Journal of Neutrosophic Science, vol. , no. , 2024, pp. 341-349. DOI: https://doi.org/10.54216/IJNS.230129
    Rajesh, K. Rathod, S. Kundale, J. Rathod, N. Clement, M. Saikia, U. Tiwari, M. Martin, N. (2024). A Study on Interval Valued Temporal Neutrosophic Fuzzy Sets. International Journal of Neutrosophic Science, (), 341-349. DOI: https://doi.org/10.54216/IJNS.230129
    Rajesh, K.. Rathod, Sharmila. Kundale, Jyoti. Rathod, Nilesh. Clement, M.. Saikia, Utpal. Tiwari, Mohit. Martin, Nivetha. A Study on Interval Valued Temporal Neutrosophic Fuzzy Sets. International Journal of Neutrosophic Science , no. (2024): 341-349. DOI: https://doi.org/10.54216/IJNS.230129
    Rajesh, K. , Rathod, S. , Kundale, J. , Rathod, N. , Clement, M. , Saikia, U. , Tiwari, M. , Martin, N. (2024) . A Study on Interval Valued Temporal Neutrosophic Fuzzy Sets. International Journal of Neutrosophic Science , () , 341-349 . DOI: https://doi.org/10.54216/IJNS.230129
    Rajesh K. , Rathod S. , Kundale J. , Rathod N. , Clement M. , Saikia U. , Tiwari M. , Martin N. [2024]. A Study on Interval Valued Temporal Neutrosophic Fuzzy Sets. International Journal of Neutrosophic Science. (): 341-349. DOI: https://doi.org/10.54216/IJNS.230129
    Rajesh, K. Rathod, S. Kundale, J. Rathod, N. Clement, M. Saikia, U. Tiwari, M. Martin, N. "A Study on Interval Valued Temporal Neutrosophic Fuzzy Sets," International Journal of Neutrosophic Science, vol. , no. , pp. 341-349, 2024. DOI: https://doi.org/10.54216/IJNS.230129

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