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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Cao, B.Y.: Application of Fuzzy Mathematics and Systems, pp. 119–131. Science Press, Beijing (2005)
Cao, B.Y.: Optimal Models and Methods with Fuzzy Quantity. Springer-Verlag, Berlin (2010)
Zhang, Z.K.: Graphic method of fuzzy linear programming. J. Tsinghua Univ. (Sci. Technol.) 37(9), 6–9 (1997)
Benjamin, L.: Introduction to Mathematics Programming. Edward Arnold, Elsevier North Holland Inc., (1982)
Pan, R.F.: A simple solution for fuzzy linear programming. J. Xiang Tan Univ. (Sci. Technol.) 3, 29–36 (1987)
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).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this paper
Cite this paper
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
Download citation
DOI: https://doi.org/10.1007/978-3-319-19105-8_28
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-19104-1
Online ISBN: 978-3-319-19105-8
eBook Packages: EngineeringEngineering (R0)