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A Method for Optimal Solution of Intuitionistic Fuzzy Transportation Problems via Centroid

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Econometrics for Financial Applications (ECONVN 2018)

Part of the book series: Studies in Computational Intelligence ((SCI,volume 760))

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Abstract

In this work, we introduce the method for solving intuitionistic fuzzy transportation problem (IFTP) in which supplies and availability are crisp numbers and cost is intuitionistic fuzzy number (IFN). We are using centroid of IFN for the representative value of the intuitionistic fuzzy cost. In addition we are using allocation table method (ATM) to find an initial basic feasible solution (IBFS) for the IFTP. Moreover, this method is also good optimal solution in the literature and illustrated with numerical examples.

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Acknowledgements

This project was supported by the Theoretical and Computational Science (TaCS) Center (Project Grant No.TaCS2560-1).

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Faculty of Science and Technology, Valaya Alongkorn Rajabhat University under the Royal Patronage, Bangkok, Thailand

    Darunee Hunwisai

  2. KMUTT-Fixed Point Theory and Applications Research Group (KMUTT-FPTA), Theoretical and Computational Science Center (TaCS), Science Laboratory Building, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok, 10140, Thailand

    Darunee Hunwisai & Poom Kumam

  3. Program in Applied Statistics, Department of Mathematics and Computer Science, Faculty of Science and Technology, Rajamangala University of Technology Thanyaburi (RMUTT), Thanyaburi, 12110, Pathumthani, Thailand

    Wiyada Kumam

Authors
  1. Darunee Hunwisai
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  2. Poom Kumam
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  3. Wiyada Kumam
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Corresponding author

Correspondence to Darunee Hunwisai .

Editor information

Editors and Affiliations

  1. Banking University HCMC, Ho Chi Minh City, Vietnam

    Ly H. Anh

  2. Banking University HCMC, Ho Chi Minh City, Vietnam

    Le Si Dong

  3. Computer Science Department, University of Texas at El Paso, El Paso, Texas, USA

    Vladik Kreinovich

  4. Banking University HCMC, Ho Chi Minh City, Vietnam

    Nguyen Ngoc Thach

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Hunwisai, D., Kumam, P., Kumam, W. (2018). A Method for Optimal Solution of Intuitionistic Fuzzy Transportation Problems via Centroid. In: Anh, L., Dong, L., Kreinovich, V., Thach, N. (eds) Econometrics for Financial Applications. ECONVN 2018. Studies in Computational Intelligence, vol 760. Springer, Cham. https://doi.org/10.1007/978-3-319-73150-6_7

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  • DOI: https://doi.org/10.1007/978-3-319-73150-6_7

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-73149-0

  • Online ISBN: 978-3-319-73150-6

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