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North American Fuzzy Information Processing Society Annual Conference

NAFIPS 2017: Fuzzy Logic in Intelligent System Design pp 382–391Cite as

Weak and Strong Solutions for Fuzzy Linear Programming Problems

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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 648))

Abstract

This paper discusses some feasibility conditions for fuzzy linear programming problems. The selection of different membership functions in a fuzzy linear programming problem can lead to different solutions, including unbounded and infeasible solutions, so in this paper we generalize concepts of weak and strong solutions for this kind of problems. An application example is provided to illustrate our results.

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References

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Author information

Authors and Affiliations

  1. Universidad Distrital Francisco José de Caldas, Bogotá, Colombia

    Juan Carlos Figueroa-García

  2. Universidad Nacional de Colombia, Bogotá Campus, Bogotá, Colombia

    Germán Hernández-Peréz

Authors
  1. Juan Carlos Figueroa-García
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  2. Germán Hernández-Peréz
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Corresponding author

Correspondence to Juan Carlos Figueroa-García .

Editor information

Editors and Affiliations

  1. Division of Graduate Studies and Research, Tijuana Institute of Technology, Tijuana, Baja California, Mexico

    Patricia Melin

  2. Division of Graduate Studies and Research, Tijuana Institute of Technology, Tijuana, Baja California, Mexico

    Oscar Castillo

  3. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Janusz Kacprzyk

  4. Department of Electrical and Computer Engineering, University of Alberta, Edmonton, Alberta, Canada

    Marek Reformat

  5. Laboratory of Computational Intelligence and Automation, University of Waterloo, Waterloo, Ontario, Canada

    William Melek

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Figueroa-García, J.C., Hernández-Peréz, G. (2018). Weak and Strong Solutions for Fuzzy Linear Programming Problems. In: Melin, P., Castillo, O., Kacprzyk, J., Reformat, M., Melek, W. (eds) Fuzzy Logic in Intelligent System Design. NAFIPS 2017. Advances in Intelligent Systems and Computing, vol 648. Springer, Cham. https://doi.org/10.1007/978-3-319-67137-6_42

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  • DOI: https://doi.org/10.1007/978-3-319-67137-6_42

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-67136-9

  • Online ISBN: 978-3-319-67137-6

  • eBook Packages: EngineeringEngineering (R0)

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