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Fuzzy Approximate Optimal Solution of the Fuzzy Transportation Problems (FTP) Under Interval Form Using Monte Carlo Approach

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Recent Advances in Soft Computing and Data Mining (SCDM 2022)

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 457))

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Abstract

This article presents two phases of procedure to solve the transportation problem under data interval. In the first phase, the problem is transformed into a trapezoidal fuzzy transportation problem by using a trisectional fuzzification. The second phase is to employ the Monte Carlo method based on the alpha-cuts to find the fuzzy optimal solution of the fuzzy transportation problem (FTP). A numerical example is provided to illustrate the capability of the proposed approach and compare it with the existing method. The proposed approach is able to obtain the fuzzy optimal solution of FTP. The computations of the fuzzy optimal solution FTP are conducted by using the Monte Carlo approach by employ random numbers generated by rand(), sort() and reshape() function in the Matlab software. The results indicated that the aforementioned approach can be had a big potential to be further optimized by taking large random numbers.

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Acknowledgment

The authors wish to thank the Research Management Centre (RMC), Universiti Tun Hussein Onn Malaysia, for the support of this research through Research Fund TIER1 no. H777, UTHM.

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Authors and Affiliations

  1. Fuzzy Mathematics and Application Focus Group, Faculty of Technology Management and Business, Universiti Tun Hussein Onn Malaysia, 86400, Batu Pahat, Johor, Malaysia

    Yosza Dasril

  2. Faculty of Technology Management and Business, Universiti Tun Hussein Onn Malaysia, 86400, Batu Pahat, Johor, Malaysia

    Muhammad Sam’an

  3. Informatic, Universitas Muhammadiyah Semarang, Jl. Kedungmundu No. 18, Kedungmundu, Tembalang, Semarang, Central Java, 50273, Indonesia

    Muhammad Sam’an

Authors
  1. Yosza Dasril
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Correspondence to Yosza Dasril .

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Editors and Affiliations

  1. Faculty of Computer Science and Information Technology, Universiti Tun Hussein Onn Malaysia, Batu Pahat, Malaysia

    Rozaida Ghazali

  2. Faculty of Computer Science and Information Technology, Universiti Tun Hussein Onn Malaysia, Batu Pahat, Malaysia

    Nazri Mohd Nawi

  3. Faculty of Computer Science and Information Technology, Universiti Tun Hussein Onn Malaysia, Batu Pahat, Malaysia

    Mustafa Mat Deris

  4. School of Information Technology Faculty of Science, Engineering and Built Environment, Deakin University, Geelong, VIC, Australia

    Jemal H. Abawajy

  5. Faculty of Computer Science and Information Technology, Universiti Tun Hussein Onn Malaysia, Batu Pahat, Malaysia

    Nureize Arbaiy

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Dasril, Y., Sam’an, M. (2022). Fuzzy Approximate Optimal Solution of the Fuzzy Transportation Problems (FTP) Under Interval Form Using Monte Carlo Approach. In: Ghazali, R., Mohd Nawi, N., Deris, M.M., Abawajy, J.H., Arbaiy, N. (eds) Recent Advances in Soft Computing and Data Mining. SCDM 2022. Lecture Notes in Networks and Systems, vol 457. Springer, Cham. https://doi.org/10.1007/978-3-031-00828-3_8

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