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A New Fuzzy Linear Programming Model and Its Applications

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Nonlinear Mathematics for Uncertainty and its Applications

Part of the book series: Advances in Intelligent and Soft Computing ((AINSC,volume 100))

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Abstract

It is difficult to determine precise values for the parameters in the real world problems. To model the uncertainty, a new fuzzy linear programming model, called β-tolerance linear programming model, is developed in this paper. When the fuzzy numbers are all triangle fuzzy numbers, the solutions, which propose a selection interval for the decision maker, are obtained.

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Author information

Authors and Affiliations

  1. Department of Mathematics and Information Education, National Taipei University of Education, Taiwan

    Hsuan-Ku Liu

  2. Department of Mathematical Sciences, National Chengchi University, Taiwan

    Berlin Wu

Authors
  1. Hsuan-Ku Liu
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  2. Berlin Wu
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Editor information

Editors and Affiliations

  1. College of Applied Sciences, Beijing University of Technology, 100 Pingleyuan, 100124, Chaoyang District, Beijing, P.R. China

    Shoumei Li , Xia Wang  & Li Guan ,  & 

  2. Department of Systems Design and Informatics, Kyushu Institute of Technology, 680-4, Kawazu, 820-8502, lizuka, Japan

    Yoshiaki Okazaki

  3. Department of Mathematics, Shinshu University, 4-17-1 Wakasato, 380-8553, Nagano, Japan

    Jun Kawabe

  4. Department of Computational Intelligence and Systems Science, Tokyo Institute of Technology, 4259-G3-47, Nagatsuta, Midori-ku, 226-8502, Yokohama, Japan

    Toshiaki Murofushi

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Liu, HK., Wu, B. (2011). A New Fuzzy Linear Programming Model and Its Applications. In: Li, S., Wang, X., Okazaki, Y., Kawabe, J., Murofushi, T., Guan, L. (eds) Nonlinear Mathematics for Uncertainty and its Applications. Advances in Intelligent and Soft Computing, vol 100. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22833-9_78

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  • DOI: https://doi.org/10.1007/978-3-642-22833-9_78

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-22832-2

  • Online ISBN: 978-3-642-22833-9

  • eBook Packages: EngineeringEngineering (R0)

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