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

  • Bing-Yuan Cao
  • Shu-Quan Lu
  • Pei-Hua Wang
  • Gen-Tao Zhang
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (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.

Keywords

Fuzzy LP Fuzzy graphic method Vegetarian problems Science diet Application 

Notes

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).

References

  1. 1.
    Cao, B.Y.: Application of Fuzzy Mathematics and Systems, pp. 119–131. Science Press, Beijing (2005)Google Scholar
  2. 2.
    Cao, B.Y.: Optimal Models and Methods with Fuzzy Quantity. Springer-Verlag, Berlin (2010)Google Scholar
  3. 3.
    Zhang, Z.K.: Graphic method of fuzzy linear programming. J. Tsinghua Univ. (Sci. Technol.) 37(9), 6–9 (1997)MATHGoogle Scholar
  4. 4.
    Benjamin, L.: Introduction to Mathematics Programming. Edward Arnold, Elsevier North Holland Inc., (1982)Google Scholar
  5. 5.
    Pan, R.F.: A simple solution for fuzzy linear programming. J. Xiang Tan Univ. (Sci. Technol.) 3, 29–36 (1987)Google Scholar

Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Bing-Yuan Cao
    • 1
    • 2
    • 3
  • Shu-Quan Lu
    • 1
  • Pei-Hua Wang
    • 2
  • Gen-Tao Zhang
    • 1
  1. 1.School of Mathematics and Information SciencesGuangzhou University Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong Higher Education Institutes (Guangzhou University)GuangzhouChina
  2. 2.Guangzhou Vocational College of Science and TechnologyGuangzhouChina
  3. 3.Guangzhou UniversityGuangzhouChina

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