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Solving fuzzy transportation problems based on extension principle

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  • Liu, Shiang-Tai
  • Kao, Chiang

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  • Liu, Shiang-Tai & Kao, Chiang, 2004. "Solving fuzzy transportation problems based on extension principle," European Journal of Operational Research, Elsevier, vol. 153(3), pages 661-674, March.
    • Handle: RePEc:eee:ejores:v:153:y:2004:i:3:p:661-674
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    1. R. E. Bellman & L. A. Zadeh, 1970. "Decision-Making in a Fuzzy Environment," Management Science, INFORMS, vol. 17(4), pages 141-164, December.
    2. Arenas Parra, M. & Bilbao Terol, A. & Rodriguez Uria, M. V., 1999. "Solving the multiobjective possibilistic linear programming problem," European Journal of Operational Research, Elsevier, vol. 117(1), pages 175-182, August.
    3. Luhandjula, M. K., 1987. "Linear programming with a possibilistic objective function," European Journal of Operational Research, Elsevier, vol. 31(1), pages 110-117, July.
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    Cited by:

    1. Sharma, Dinesh K. & Jana, R.K., 2009. "A hybrid genetic algorithm model for transshipment management decisions," International Journal of Production Economics, Elsevier, vol. 122(2), pages 703-713, December.
    2. Prachi Agrawal & Talari Ganesh, 2020. "Fuzzy fractional stochastic transportation problem involving exponential distribution," OPSEARCH, Springer;Operational Research Society of India, vol. 57(4), pages 1093-1114, December.
    3. Srikant Gupta & Irfan Ali & Aquil Ahmed, 2018. "Multi-objective capacitated transportation problem with mixed constraint: a case study of certain and uncertain environment," OPSEARCH, Springer;Operational Research Society of India, vol. 55(2), pages 447-477, June.
    4. Jie Wei & Jing Zhao, 2016. "Pricing decisions for substitutable products with horizontal and vertical competition in fuzzy environments," Annals of Operations Research, Springer, vol. 242(2), pages 505-528, July.
    5. Peidro, David & Mula, Josefa & Jiménez, Mariano & del Mar Botella, Ma, 2010. "A fuzzy linear programming based approach for tactical supply chain planning in an uncertainty environment," European Journal of Operational Research, Elsevier, vol. 205(1), pages 65-80, August.
    6. Sadegh Niroomand & Ali Mahmoodirad & Ahmad Heydari & Fatemeh Kardani & Abdollah Hadi-Vencheh, 2017. "An extension principle based solution approach for shortest path problem with fuzzy arc lengths," Operational Research, Springer, vol. 17(2), pages 395-411, July.
    7. S. Dutta & S. Acharya & Rajashree Mishra, 2016. "Genetic algorithm based fuzzy stochastic transportation programming problem with continuous random variables," OPSEARCH, Springer;Operational Research Society of India, vol. 53(4), pages 835-872, December.
    8. Priyanka Nagar & Pankaj Kumar Srivastava & Amit Srivastava, 2022. "A new dynamic score function approach to optimize a special class of Pythagorean fuzzy transportation problem," 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. 13(2), pages 904-913, June.
    9. Allahviranloo, Mahdieh & Afandizadeh, Shahriar, 2008. "Investment optimization on port's development by fuzzy integer programming," European Journal of Operational Research, Elsevier, vol. 186(1), pages 423-434, April.
    10. Bogdana Stanojević & Sorin Nǎdǎban, 2023. "Empiric Solutions to Full Fuzzy Linear Programming Problems Using the Generalized “min” Operator," Mathematics, MDPI, vol. 11(23), pages 1-15, December.
    11. Jung-Lin Hung & Cheng-Che Chen & Chun-Mei Lai, 2020. "Possibility Measure of Accepting Statistical Hypothesis," Mathematics, MDPI, vol. 8(4), pages 1-16, April.
    12. Mohammed, Ahmed & Wang, Qian, 2017. "The fuzzy multi-objective distribution planner for a green meat supply chain," International Journal of Production Economics, Elsevier, vol. 184(C), pages 47-58.
    13. Zhao, Jing & Tang, Wansheng & Zhao, Ruiqing & Wei, Jie, 2012. "Pricing decisions for substitutable products with a common retailer in fuzzy environments," European Journal of Operational Research, Elsevier, vol. 216(2), pages 409-419.
    14. Bogdana Stanojević & Milan Stanojević & Sorin Nădăban, 2021. "Reinstatement of the Extension Principle in Approaching Mathematical Programming with Fuzzy Numbers," Mathematics, MDPI, vol. 9(11), pages 1-16, June.
    15. Islam, Sahidul & Roy, Tapan Kumar, 2006. "A new fuzzy multi-objective programming: Entropy based geometric programming and its application of transportation problems," European Journal of Operational Research, Elsevier, vol. 173(2), pages 387-404, September.
    16. Ali Ebrahimnejad, 2015. "A duality approach for solving bounded linear programming problems with fuzzy variables based on ranking functions and its application in bounded transportation problems," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(11), pages 2048-2060, August.
    17. Liu, Shiang-Tai, 2009. "A revisit to quadratic programming with fuzzy parameters," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1401-1407.
    18. Chia-Nan Wang & Thanh-Tuan Dang & Tran Quynh Le & Panitan Kewcharoenwong, 2020. "Transportation Optimization Models for Intermodal Networks with Fuzzy Node Capacity, Detour Factor, and Vehicle Utilization Constraints," Mathematics, MDPI, vol. 8(12), pages 1-27, November.
    19. Liu, Shiang-Tai, 2009. "Quadratic programming with fuzzy parameters: A membership function approach," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 237-245.
    20. Srikant Gupta & Irfan Ali & Aquil Ahmed, 2018. "Multi-objective bi-level supply chain network order allocation problem under fuzziness," OPSEARCH, Springer;Operational Research Society of India, vol. 55(3), pages 721-748, November.
    21. Wong, Bo K. & Lai, Vincent S., 2011. "A survey of the application of fuzzy set theory in production and operations management: 1998-2009," International Journal of Production Economics, Elsevier, vol. 129(1), pages 157-168, January.
    22. Amit Kumar & Amarpreet Kaur, 2011. "Application of classical transportation methods to find the fuzzy optimal solution of fuzzy transportation problems," Fuzzy Information and Engineering, Springer, vol. 3(1), pages 81-99, March.
    23. Dayi He & Ran Li & Qi Huang & Ping Lei, 2014. "Transportation Optimization with Fuzzy Trapezoidal Numbers Based on Possibility Theory," PLOS ONE, Public Library of Science, vol. 9(8), pages 1-12, August.
    24. Jiuping Xu & Guomin Fang & Zezhong Wu, 2016. "Network equilibrium of production, transportation and pricing for multi-product multi-market," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 84(3), pages 567-595, December.

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