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International Journal of Neutrosophic Science
Volume 23 , Issue 2, PP: 91-103 , 2024 | Cite this article as | XML | Html |PDF

Title

Sorting Out Interval Valued Neutrosophic Fuzzy Shortest Cycle Route Problem by Reduced Matrix Method

  S. Krishna Prabha 1 * ,   M. Clement Joe Anand 2 ,   V. Vidhya 3 ,   G. Nagarajan 4 ,   Utpal Saikia 5 ,   Nivetha Martin 6 ,   M. Santoshi Kumari 7 ,   Mohit Tiwari 8

1  Department of Mathematics, PSNA College of Engineering and Technology, Dindigul – 624622, Tamil Nadu, India
    (jvprbh1@gmail.com)

2  Department of Mathematics, Mount Carmel College (Autonomous), Affiliated to Bengaluru City University, Bengaluru - 560052, Karnataka, India
    (arjoemi@gmail.com)

3  Devision of Mathematics, Vellore Institute of Technology, Chennai - 600127, Tamil Nadu, India
    (vidhya.v@vit.ac.in)

4  Department of Mathematics, Panimalar Engineering College, Chennai - 600 123, Tamil Nadu, India
    (sridinnaga@gmail.com)

5  Department of Mathematics, Silapathar College, Dhemaji, Assam – 787059, India
    (utpalsaikiajorhat@gmail.com)

6  Department of Mathematics, Arul Anandar College, Karumathur-625514, Tamil Nadu, India
    (nivetha.martin710@gmail.com)

7  Department of Mathematics, Chaitanya Bharathi Institute of Technology, Gandipet, Hyderabad - 500075, India
    (santoshinagaram@gmail.com)

8  Department of Computer Science and Engineering, Bharati Vidyapeeth’s College of Engineering, Delhi -110063, India
    (mohit.tiwari@bharatividyapeeth.edu .)

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Doi   :   https://doi.org/10.54216/IJNS.230208

Received: June 23, 2023 Revised: September 19, 2023 Accepted: November 24, 2023

Abstract :

The assertiveness theory next addresses the difficulties of the travelling salesman after discussing the problem with transportation and assignment.  The Shortest Cycling Route Problem (SCRP) finds the shortest route that stops in each city exactly once using a preset set of cities and their bilateral distances.  The arc lengths in TSO are typically seen as representing travel time or travel expenses rather than actual distance.  The precise arc length cannot be predicted because cargo, climate, road conditions, and other factors also can affect the journey time or cost.  For handling the unpredictability in SCRP, fuzzy set theory provides a new tool.  The shortest cyclic route problem with interval-valued neutrosophic fuzzy numbers as cost coefficients is solved using the simplified matrix techniques in this study.  Reduced Matrix Method is used to solve a numerical problem and its efficacy is demonstrated.

Keywords :

Interval-valued neutrosophic fuzzy; shortest cyclic route problem; reduced matrix.

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Cite this Article as :
Style #
MLA S. Krishna Prabha, M. Clement Joe Anand, V. Vidhya, G. Nagarajan, Utpal Saikia, Nivetha Martin, M. Santoshi Kumari, Mohit Tiwari. "Sorting Out Interval Valued Neutrosophic Fuzzy Shortest Cycle Route Problem by Reduced Matrix Method." International Journal of Neutrosophic Science, Vol. 23, No. 2, 2024 ,PP. 91-103 (Doi   :  https://doi.org/10.54216/IJNS.230208)
APA S. Krishna Prabha, M. Clement Joe Anand, V. Vidhya, G. Nagarajan, Utpal Saikia, Nivetha Martin, M. Santoshi Kumari, Mohit Tiwari. (2024). Sorting Out Interval Valued Neutrosophic Fuzzy Shortest Cycle Route Problem by Reduced Matrix Method. Journal of International Journal of Neutrosophic Science, 23 ( 2 ), 91-103 (Doi   :  https://doi.org/10.54216/IJNS.230208)
Chicago S. Krishna Prabha, M. Clement Joe Anand, V. Vidhya, G. Nagarajan, Utpal Saikia, Nivetha Martin, M. Santoshi Kumari, Mohit Tiwari. "Sorting Out Interval Valued Neutrosophic Fuzzy Shortest Cycle Route Problem by Reduced Matrix Method." Journal of International Journal of Neutrosophic Science, 23 no. 2 (2024): 91-103 (Doi   :  https://doi.org/10.54216/IJNS.230208)
Harvard S. Krishna Prabha, M. Clement Joe Anand, V. Vidhya, G. Nagarajan, Utpal Saikia, Nivetha Martin, M. Santoshi Kumari, Mohit Tiwari. (2024). Sorting Out Interval Valued Neutrosophic Fuzzy Shortest Cycle Route Problem by Reduced Matrix Method. Journal of International Journal of Neutrosophic Science, 23 ( 2 ), 91-103 (Doi   :  https://doi.org/10.54216/IJNS.230208)
Vancouver S. Krishna Prabha, M. Clement Joe Anand, V. Vidhya, G. Nagarajan, Utpal Saikia, Nivetha Martin, M. Santoshi Kumari, Mohit Tiwari. Sorting Out Interval Valued Neutrosophic Fuzzy Shortest Cycle Route Problem by Reduced Matrix Method. Journal of International Journal of Neutrosophic Science, (2024); 23 ( 2 ): 91-103 (Doi   :  https://doi.org/10.54216/IJNS.230208)
IEEE S. Krishna Prabha, M. Clement Joe Anand, V. Vidhya, G. Nagarajan, Utpal Saikia, Nivetha Martin, M. Santoshi Kumari, Mohit Tiwari, Sorting Out Interval Valued Neutrosophic Fuzzy Shortest Cycle Route Problem by Reduced Matrix Method, Journal of International Journal of Neutrosophic Science, Vol. 23 , No. 2 , (2024) : 91-103 (Doi   :  https://doi.org/10.54216/IJNS.230208)
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