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Analysis of Graphic Method to Fuzzy Linear Programming and Its Application in Science Diet

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Book cover Fuzzy Systems & Operations Research and Management

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 367))

Abstract

In this paper, a simple graphic method is mentioned and then used to solve the problem of two-dimensional fuzzy linear programming. Besides, we discuss the set of feasible solution constituted by constraint function. Based on this analysis, some regularities are obtained for an optimal solution. At last, an applied model that can be solved with the proposed method is found in science diet and health care.

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References

  1. Cao, B.Y.: Application of Fuzzy Mathematics and Systems, pp. 119–131. Science Press, Beijing (2005)

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  2. Cao, B.Y.: Optimal Models and Methods with Fuzzy Quantity. Springer-Verlag, Berlin (2010)

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  3. Zhang, Z.K.: Graphic method of fuzzy linear programming. J. Tsinghua Univ. (Sci. Technol.) 37(9), 6–9 (1997)

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  4. Benjamin, L.: Introduction to Mathematics Programming. Edward Arnold, Elsevier North Holland Inc., (1982)

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Acknowledgments

Thanks to the support by the PhD Start-up Fund of Natural Science Foundation of Guangdong Province in China (No. S2013040012506) and the China Postdoctoral Science Foundation Funded Project (2014M562152).

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Authors and Affiliations

  1. School of Mathematics and Information Sciences, Guangzhou University Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong Higher Education Institutes (Guangzhou University), Guangzhou, 510006, China

    Bing-Yuan Cao, Shu-Quan Lu & Gen-Tao Zhang

  2. Guangzhou Vocational College of Science and Technology, Guangzhou, 510550, China

    Bing-Yuan Cao & Pei-Hua Wang

  3. Guangzhou University, Guangzhou, 510550, China

    Bing-Yuan Cao

Authors
  1. Bing-Yuan Cao
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  2. Shu-Quan Lu
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  3. Pei-Hua Wang
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  4. Gen-Tao Zhang
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Corresponding author

Correspondence to Gen-Tao Zhang .

Editor information

Editors and Affiliations

  1. Guangzhou University, Guangzhou, China

    Bing-Yuan Cao

  2. Foreign Affairs Office, National Defense University, Beijing, China

    Zeng-Liang Liu

  3. Higher Education Mega Center, Guangzhou University, Guangzhou, China

    Yu-Bin Zhong

  4. Zhuhai Campus, Beijing Normal University, Zhuhai, China

    Hong-Hai Mi

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© 2016 Springer International Publishing Switzerland

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Cao, BY., Lu, SQ., Wang, PH., Zhang, GT. (2016). Analysis of Graphic Method to Fuzzy Linear Programming and Its Application in Science Diet. In: Cao, BY., Liu, ZL., Zhong, YB., Mi, HH. (eds) Fuzzy Systems & Operations Research and Management. Advances in Intelligent Systems and Computing, vol 367. Springer, Cham. https://doi.org/10.1007/978-3-319-19105-8_28

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  • DOI: https://doi.org/10.1007/978-3-319-19105-8_28

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-19104-1

  • Online ISBN: 978-3-319-19105-8

  • eBook Packages: EngineeringEngineering (R0)

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