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New Research of Coefficient-Fuzzy Linear Programming

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Fuzzy Information and Engineering

Part of the book series: Advances in Soft Computing ((AINSC,volume 40))

Abstract

In this paper, we make a further research on the coefficient-fuzzy linear programming. The constraint satisfactory function method and its deficiency are discussed. We introduced a new concept of the membership of constraint. Based on the new concept, the optimal solution varies with the membership of constraint. A new method is presented and an illustrative numerical example is provided to demonstrate the feasibility and efficiency of the proposed approach.

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References

  1. Cao, Y., Qu, X.: A New Approach to Linear Programming with Fuzzy Coefficients. Journal of Systems and Engineering 10(1), 21–31 (1995)

    MathSciNet  Google Scholar 

  2. Liu, X.: Measuring the Satisfaction of Constraints in Fuzzy Linear Programming. Fuzzy Sets and Systems 122, 263–275 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  3. Yang, J., Han, Y., Zhao, H.: Improment on the Method for Solving Fuzzy Linear Programming Problems through the Satisfaction of Constraints. Journal of Liaoning Normal University (Natural Science Edition) 25(3), 240–243 (2002)

    MATH  MathSciNet  Google Scholar 

  4. Ramik, J.: Duality in Fuzzy Linear Programming: Some New Concepts and Results. Fuzzy Optimization and Decision Making 4, 25–39 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  5. Wu, H.-C.: Duality in Fuzzy Linear Programming with Fuzzy Coefficients. Fuzzy Optimization and Decision Making 2, 61–73 (2003)

    Article  MathSciNet  Google Scholar 

  6. Zhang, C., Yuan, X., Lee, E.S.: Duality in Fuzzy Mathematics Programming Problems with Coefficients. Computers and Mathematics with Application 49, 1709–1730 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  7. Wu, H.-C.: Duality in Fuzzy Optimization Problems. Fuzzy Optimization and Decision Making 3, 345–365 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  8. Huang, Z.: Fuzzy Linear Programming Problems with Fuzzy Coefficients. Mathematica Applicata 8(1), 96–101 (1995)

    Google Scholar 

  9. Guan, S.: New Method for Ranking Fuzzy Numbers and It’s Application in Fuzzy Linear Programming. Journal of Hainan Normal University (Natural Science) 18(2), 104–110 (2005)

    MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. Mathematics Department of Anhui Science and Technology University, Anhui Fengyang 233100,  

    Pan Hua

  2. Mathematics Department of Shantou University, Guangdong Shantou 515063,  

    Qiu Haiquan & Hou Yongchao

  3. School of Math. and Inf. Sci. of Guangzhou University, Guangdong Guangzhou 510006,  

    Cao Bingyuan

Authors
  1. Pan Hua
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  2. Qiu Haiquan
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  3. Cao Bingyuan
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  4. Hou Yongchao
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Editor information

Bing-Yuan Cao

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© 2007 Springer-Verlag Berlin Heidelberg

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Hua, P., Haiquan, Q., Bingyuan, C., Yongchao, H. (2007). New Research of Coefficient-Fuzzy Linear Programming. In: Cao, BY. (eds) Fuzzy Information and Engineering. Advances in Soft Computing, vol 40. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71441-5_69

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  • DOI: https://doi.org/10.1007/978-3-540-71441-5_69

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-71440-8

  • Online ISBN: 978-3-540-71441-5

  • eBook Packages: EngineeringEngineering (R0)

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