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New Improved Methods for Solving the Fully Fuzzy Transshipment Problems with Parameters Given as the LR Flat Fuzzy Numbers

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Fuzzy Transportation and Transshipment Problems

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 385))

Abstract

The purpose of this chapter is to discuss in more detail Ghatee and Hashemi’s (Inf Sci 177:4271–4294, 2007, [1]) method for solving the problem of finding an optimal solution to the fully fuzzy transshipment problems, which is considered in this paper in terms of a fully fuzzy minimal cost flow problem, This is presumably the best known, if not the only comprehensive and constructive method for solving such a type of problems. Though this method is good, indeed, it has some limitations which will be briefly pointed out in this chapter. Then, two new method for solving the fully fuzzy transshipment problems will be proposed that are free form those limitations mentioned.

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References

  1. M. Ghatee, S.M. Hashemi, Ranking function-based solutions of fully fuzzified minimal cost flow problem. Inf. Sci. 177, 4271–4294 (2007)

    Article  MathSciNet  Google Scholar 

  2. M. Ghatee, S.M. Hashemi, Generalized minimal cost flow problem in fuzzy nature: an application in bus network planning problem. Appl. Math. Model. 32, 2490–2508 (2008)

    Article  MathSciNet  Google Scholar 

  3. M. Ghatee, S.M. Hashemi, Application of fuzzy minimum cost flow problems to network design under uncertainty. Fuzzy Sets Syst. 160, 3263–3289 (2009)

    Article  MathSciNet  Google Scholar 

  4. M. Ghatee, S.M. Hashemi, Optimal network design and storage management in petroleum distribution network under uncertainty. Eng. Appl. Artif. Intell. 22, 796–807 (2009)

    Article  Google Scholar 

  5. M. Ghatee, S.M. Hashemi, M. Zarepisheh, E. Khorram, Preemptive priority based algorithms for fuzzy minimal cost flow problem: an application in hazardous materials transportation. Comput. Ind. Eng. 57, 341–354 (2009)

    Article  Google Scholar 

  6. T.S. Liou, M.J. Wang, Ranking fuzzy number with integral values. Fuzzy Sets Syst. 50, 247–255 (1992)

    Article  MathSciNet  Google Scholar 

  7. M. Wagenknecht, R. Hampel, V. Schneider, Computational aspects of fuzzy arithmetics based on Archimedean t-norms. Fuzzy Sets Syst. 123, 49–62 (2001)

    Article  MathSciNet  Google Scholar 

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Correspondence to Janusz Kacprzyk .

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Kaur, A., Kacprzyk, J., Kumar, A. (2020). New Improved Methods for Solving the Fully Fuzzy Transshipment Problems with Parameters Given as the LR Flat Fuzzy Numbers. In: Fuzzy Transportation and Transshipment Problems. Studies in Fuzziness and Soft Computing, vol 385. Springer, Cham. https://doi.org/10.1007/978-3-030-26676-9_6

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