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A Kind of Fuzzy Relation Programming with Fuzzy Coefficients

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Fuzzy Engineering and Operations Research

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

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Abstract

A new fuzzy relation programming with fuzzy coefficients using max-product composition is considered. Since the object is a fuzzy relation function which the coefficients are also fuzzy numbers, we convert the problem into a fuzzy relation geometric programming by using a linear ranking function. Then we study the fuzzy relation geometric programming and capture the optimal solution. For illustration purpose, an numerical example is provided.

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© 2012 Springer-Verlag Berlin Heidelberg

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Zhou, Xw., Cao, By. (2012). A Kind of Fuzzy Relation Programming with Fuzzy Coefficients. 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_6

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  • DOI: https://doi.org/10.1007/978-3-642-28592-9_6

  • 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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