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A new approach to solve fully fuzzy transportation problem using triangular fuzzy number

Author

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  • Dipankar Chakraborty
  • Dipak Kumar Jana
  • Tapan Kumar Roy

Abstract

In the literature, there are several methods for finding a fuzzy optimal solution to fully fuzzy transportation problems (FFTP). In this paper, a new approach is proposed for solving a fully fuzzy transportation problem. Assuming that the transportation cost, total supply, total demands and also the transportation amount are imprecise in nature. The proposed approach is an extension of popular approach of solving transportation problem (i.e., North West corner method, least cost method, Vogel's approximation method, modified distribution method). The proposed methods are easy to understand and to apply for finding a fuzzy optimal solution to fuzzy transportation problems happening in real-life situations. To illustrate the proposed methods, a fully fuzzy transportation problem is solved using the proposed methods and the obtained results are compared with the results of existing approaches like Kumar's method (Kumar and Singh, 2012) and Ezzati method (Ezzati et al., 2013).

Suggested Citation

  • Dipankar Chakraborty & Dipak Kumar Jana & Tapan Kumar Roy, 2016. "A new approach to solve fully fuzzy transportation problem using triangular fuzzy number," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 26(2), pages 153-179.
    • Handle: RePEc:ids:ijores:v:26:y:2016:i:2:p:153-179
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    Citations

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    Cited by:

    1. Hsien-Chung Wu, 2023. "Solving Fuzzy Optimization Problems Using Shapley Values and Evolutionary Algorithms," Mathematics, MDPI, vol. 11(24), pages 1-26, December.
    2. Xiaoyan Jiang & Kun Lu & Bo Xia & Yong Liu & Caiyun Cui, 2019. "Identifying Significant Risks and Analyzing Risk Relationship for Construction PPP Projects in China Using Integrated FISM-MICMAC Approach," Sustainability, MDPI, vol. 11(19), pages 1-31, September.
    3. Divya Sharma & Dinesh C. S. Bisht & Pankaj Kumar Srivastava, 2024. "Solution of fuzzy transportation problem based upon pentagonal and hexagonal fuzzy numbers," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 15(9), pages 4348-4354, September.
    4. Hsien-Chung Wu, 2019. "Solving Fuzzy Linear Programming Problems with Fuzzy Decision Variables," Mathematics, MDPI, vol. 7(7), pages 1-105, June.
    5. Hsin-Chieh Wu & Horng-Ren Tsai & Tin-Chih Toly Chen & Keng-Wei Hsu, 2021. "Energy-Efficient Production Planning Using a Two-Stage Fuzzy Approach," Mathematics, MDPI, vol. 9(10), pages 1-17, May.
    6. P. Senthil Kumar, 2020. "Intuitionistic fuzzy zero point method for solving type-2 intuitionistic fuzzy transportation problem," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 37(3), pages 418-451.
    7. Manuel Arana-Jiménez & Carmen Sánchez-Gil, 2020. "On generating the set of nondominated solutions of a linear programming problem with parameterized fuzzy numbers," Journal of Global Optimization, Springer, vol. 77(1), pages 27-52, May.

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