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Optimal Decision Making in Fuzzy Stochastic Hybrid Uncertainty Environments and Their Application in Transportation Problems

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Fuzzy Information and Engineering-2019

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1094))

Abstract

Decision making plays an important role in economic, management, business, marketing, psychology, philosophy, mathematics, statistics, and many other fields. In each field, decision making consists of identifying the values, uncertainties, and other issues that define the decision. Randomness and fuzziness or vagueness are two major sources of uncertainty in the real world. Practical applications in areas of industrial engineering, management, and economics, are such that decision-makers are being confronted with information that is simultaneously probabilistically uncertain and fuzzily imprecise, and a decision making has to be performed under such a twofold uncertain environment of co-occurrence of randomness and fuzziness. This paper presents an application to the transportation problems in fuzzy stochastic hybrid uncertainty environments. In this paper, we focus on our attention on unbalanced transportation problems in the fuzzy stochastic environment.

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References

  1. Attoh-Okine, N., Ayyub, B.: Applied Research in Uncertainty Modeling and Analysis, vol. 20 (2005)

    Google Scholar 

  2. Buckley, J.J.: Fuzzy Probabilities: New Approach and Applications, vol. 115. Springer Science and Business Media, Berlin (2005)

    MATH  Google Scholar 

  3. Chalam, G.A.: Fuzzy goal programming (FGP) approach to a stochastic transportation problem under budgetary constraint. Fuzzy Sets Syst. 66, 293–299 (1994)

    Article  Google Scholar 

  4. Copper, L.: The stochastic transportation-location problem. Comput. Math. Appl. 4, 265–275 (1978)

    Article  MathSciNet  Google Scholar 

  5. Kaufman, A., Gupta, M.M.: Fuzzy Mathematical Models in Engineering and Management Sciences. North-Holland (1988)

    Google Scholar 

  6. Kaur, A., Kumar, A.: A new approach for solving fuzzy transportation problems using generalized trapezoidal fuzzy numbers. Manage. Sci. 22, 1116–1126 (2012)

    Google Scholar 

  7. Keshavarz, E., Khorram, E.: A fuzzy bi-criteria transportation problem. Comput. Ind. Eng. 61, 947–957 (2011)

    Article  Google Scholar 

  8. Kwakernaak, H.: Fuzzy random variables - I. Definitions and theorems. Inf. Sci. 15, 1–19 (1978)

    Article  MathSciNet  Google Scholar 

  9. Kwakernaak, H.: Fuzzy random variables -II, algorithms and examples for the discrete case. Inf. Sci. 17, 253–278 (1979)

    Article  MathSciNet  Google Scholar 

  10. Lai, Y.J., Hwang, C.L.: A new approach to some possibilistic linear programming problems. Fuzzy Sets Syst. 49(2), 121–33 (1992)

    Article  MathSciNet  Google Scholar 

  11. Liu, S.L., Kao, C.: Solving fuzzy transportation problems based on extension principle. Euro. J. Oper. Res. 153, 661–674 (2004)

    Article  MathSciNet  Google Scholar 

  12. Ojha, A., Das, B., Mondal, S.K., Maiti, M.: A stochastic discounted multiobjective solid transportation problem for breakable items using analytical hierarchy process. Appl. Math. Model. 34, 2256–2271 (2010)

    Article  MathSciNet  Google Scholar 

  13. Saad, Omar M., Abass, Samir A.: A Parametric study on transportation problem under fuzzy environment. J. Fuzzy Math. 11(1), 115–124 (2003)

    MathSciNet  MATH  Google Scholar 

  14. Puri, M.L., Ralescu, D.: Fuzzy random variables. J. Math. Anal. Appl. 114, 409–422 (1986)

    Article  MathSciNet  Google Scholar 

  15. Sakawa, M.: Fuzzy sets and Interactive Optimization. Plenum Press, New York (1993)

    Book  Google Scholar 

  16. Shafer, G.: A Mathematical Theory of Evidence. Princeton University Press, Princeton, NJ (1976)

    MATH  Google Scholar 

  17. Shiryaer, A.: Probability, 2nd edn. Springer, Berlin (1996)

    Book  Google Scholar 

  18. Wang, G.-Y., Zang, Y.: The theory of fuzzy stochastic processes. Fuzzy Sets Syst. 51(2), 161–78 (1992)

    Article  MathSciNet  Google Scholar 

  19. Xu, J., Yan, F., Li, S.: Vehicle routing optimization with soft time windows in a fuzzy random environment. Transp. Res. Part E 47, 1075–1091 (2011)

    Article  Google Scholar 

Download references

Acknowledgements

Thanks to the supported by the 9th International Conference on Fuzzy Information and Engineering (Kish island).

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Correspondence to S. Bavandi .

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Bavandi, S., Nasseri, S.H., Triki, C. (2020). Optimal Decision Making in Fuzzy Stochastic Hybrid Uncertainty Environments and Their Application in Transportation Problems. In: Cao, By. (eds) Fuzzy Information and Engineering-2019. Advances in Intelligent Systems and Computing, vol 1094. Springer, Singapore. https://doi.org/10.1007/978-981-15-2459-2_5

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