Rough Approximation Based Decentralized Bi-Level Model for the Supply Chain Distribution Problem

Conference paper
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 242)


This paper considers a core enterprise-dominant supply chain distribution modeling problem under a fuzzy environment. In particular, the common benefit and mutual interact of the upstream and downstream enterprise in the supply chain is considered. Thus, a decentralized bi-level programming model is constructed. To deal with the fuzzy parameters in the objective functions, an expected value operation based on Me is employed. As to the feasible region with fuzzy coefficient, a similarity relation based on the fuzzy measure Pos is defined, based on which, the rough approximation method is adopted. Then, two rough approximation models (UAM and LAM) is developed. To solve the two models, a rough simulation is developed, after which the fuzzy interactive programming and genetic algorithm can be adopted to find the solutions.


Rough approximation Decentralized bi-level programming Supply chain Rough simulation Fuzzy environment 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Zhimiao Tao
    • 1
    • 2
  • Yuan Wang
    • 1
    • 2
  • Zhibin Wu
    • 1
    • 2
  • Jinwei Hu
    • 1
    • 2
  1. 1.Uncertainty Decision-Making LaboratorySichuan UniversityChengduPeople’s Republic of China
  2. 2.Department of Computer ScienceDarmstadt University of TechnologyDarmstadtGermany

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