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International Conference in Swarm Intelligence

ICSI 2015: Advances in Swarm and Computational Intelligence pp 25–32Cite as

Optimizing Production and Distribution Problem for Agricultural Products with Type-2 Fuzzy Variables

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9141))

Abstract

This paper focuses on generating the optimal solutions of the production and distribution for agricultural products under fuzzy environment, where the crop’s yield is characterized by type-2 fuzzy variable with known type-2 possibility distributions. In order to formulate the problem within the framework of the credibility optimization, we employ the possibility value-at-risk (VaR) reduction method to the type-2 fuzzy yield, and then reformulate the multi-fold fuzzy production and distribution problem as the chance constrained programming model. On the basis of the critical value formula for possibility value-at-risk reduced fuzzy variable, original fuzzy production and distribution model is converted into its equivalent parametric mixed integer programming form, which can be solved by general-purpose software. Numerical experiment is implemented to highlight the application of the fuzzy production and distribution model as well as the effectiveness of the solution method.

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Author information

Authors and Affiliations

  1. College of Science, Agricultural University of Hebei, Baoding, 071001, Hebei, China

    Xuejie Bai

  2. College of Management, Hebei University, Baoding, 071002, Hebei, China

    Xuejie Bai

  3. Bureau of Animal Husbandry and Fisheries of Baoding, Baoding, 071005, Hebei, China

    Lijun Xu

Authors
  1. Xuejie Bai
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  2. Lijun Xu
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Corresponding author

Correspondence to Xuejie Bai .

Editor information

Editors and Affiliations

  1. Peking University, Beijing, China

    Ying Tan

  2. Xi'ian Jiaotong-Liverpool University, Suzhou, China

    Yuhui Shi

  3. Universidade de Pernambuco, Recife, Brazil

    Fernando Buarque

  4. Instituto Politécnico Nacional, Mexico, Mexico

    Alexander Gelbukh

  5. Indian Statistical Institute, Kolkata, India

    Swagatam Das

  6. University of Pretoria, Pretoria, South Africa

    Andries Engelbrecht

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© 2015 Springer International Publishing Switzerland

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Bai, X., Xu, L. (2015). Optimizing Production and Distribution Problem for Agricultural Products with Type-2 Fuzzy Variables. In: Tan, Y., Shi, Y., Buarque, F., Gelbukh, A., Das, S., Engelbrecht, A. (eds) Advances in Swarm and Computational Intelligence. ICSI 2015. Lecture Notes in Computer Science(), vol 9141. Springer, Cham. https://doi.org/10.1007/978-3-319-20472-7_3

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  • DOI: https://doi.org/10.1007/978-3-319-20472-7_3

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-20471-0

  • Online ISBN: 978-3-319-20472-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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