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Fuzzy Engineering and Operations Research pp 97–107Cite as

Fuzzy Multi-objective Programming Problem with Fuzzy Structured Element Solution

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Part of the book series: Advances in Intelligent and Soft Computing ((AINSC,volume 147))

Abstract

A class of fuzzy multiple objective programming problem with all fuzzy coefficients is discussed based on the fuzzy structured element method in this paper. By introducing the structured element weighted characteristic number, we define an order relation of fuzzy numbers. Then, we use of this characteristic number, the solving problems of the class of fuzzy multi-objective programming model can be translated into the other solving problems of a class of clear multi-objective programming model. We calculate the quasi-optimal feasible solution of the clear model by the method based on a class of linear weighted function. Finally, a numerical example is given to illustrate how to solve such fuzzy multi-objective programming problem.

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Author information

Authors and Affiliations

  1. Institute of Mathematics and Systems Science, Liaoning Technical University, Fuxin, 123000, China

    Yun-zhi Liu & Si-zong Guo

Authors
  1. Yun-zhi Liu
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  2. Si-zong Guo
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Corresponding author

Correspondence to Yun-zhi Liu .

Editor information

Editors and Affiliations

  1. School of Mathematics and, Information Science, Guangzhou University, Wai Huan Xi Road, Guangdong, 510006, China, People's Republic

    Bing-Yuan Cao

  2. , School of Science, Southwest Petroleum University, Xindu Avenue 8#, Chengdu, 610500, China, People's Republic

    Xiang-Jun Xie

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© 2012 Springer-Verlag Berlin Heidelberg

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Liu, Yz., Guo, Sz. (2012). Fuzzy Multi-objective Programming Problem with Fuzzy Structured Element Solution. In: Cao, BY., Xie, XJ. (eds) Fuzzy Engineering and Operations Research. Advances in Intelligent and Soft Computing, vol 147. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28592-9_9

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  • DOI: https://doi.org/10.1007/978-3-642-28592-9_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-28591-2

  • Online ISBN: 978-3-642-28592-9

  • eBook Packages: EngineeringEngineering (R0)

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