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Fuzzy Linear Programming

In: Linear and Multiobjective Programming with Fuzzy Stochastic Extensions

Author

Listed:
  • Masatoshi Sakawa

    (Hiroshima University)

  • Hitoshi Yano

    (Nagoya City University)

  • Ichiro Nishizaki

    (Hiroshima University)

Abstract

In 1976, Zimmermann first introduced fuzzy set theory into linear programming problems. He considered linear programming problems with a fuzzy goal and fuzzy constraints. Following the fuzzy decision proposed by Bellman and Zadeh (1970) together with linear membership functions, he proved that there exists an equivalent linear programming problem.

Suggested Citation

  • Masatoshi Sakawa & Hitoshi Yano & Ichiro Nishizaki, 2013. "Fuzzy Linear Programming," International Series in Operations Research & Management Science, in: Linear and Multiobjective Programming with Fuzzy Stochastic Extensions, edition 127, chapter 0, pages 105-148, Springer.
    • Handle: RePEc:spr:isochp:978-1-4614-9399-0_4
    DOI: 10.1007/978-1-4614-9399-0_4
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    Citations

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    Cited by:

    1. Avik Pradhan & M. P. Biswal, 2017. "Multi-choice probabilistic linear programming problem," OPSEARCH, Springer;Operational Research Society of India, vol. 54(1), pages 122-142, March.
    2. María Luisa Nolé & David Soler & Juan Luis Higuera-Trujillo & Carmen Llinares, 2022. "Optimization of the Cognitive Processes in a Virtual Classroom: A Multi-objective Integer Linear Programming Approach," Mathematics, MDPI, vol. 10(7), pages 1-20, April.
    3. Soumendra Nath Sanyal & Izabela Nielsen & Subrata Saha, 2020. "Multi-Objective Human Resource Allocation Approach for Sustainable Traffic Management," IJERPH, MDPI, vol. 17(7), pages 1-16, April.

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