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Fuzzy Linear Programming with Single or Multiple Objective Functions

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Fuzzy Sets in Decision Analysis, Operations Research and Statistics

Part of the book series: The Handbooks of Fuzzy Sets Series ((FSHS,volume 1))

Abstract

The chapter presents an overview of methods for solving fuzzy linear programming (FLP) problems. It starts with the simplest case of linear programming models with soft constraints, called flexible programming. Then, it goes through most essential questions connected with FLP problems: modeling of fuzzy data, extended addition for aggregating fuzzy objectives and left-hand sides of fuzzy constraints, inequality relations between fuzzy left-hand sides and fuzzy right-hand sides of the constraints, treatment of fuzzy objectives and computation of a comprise solution in the multi-objective case. Finally, a survey of applications of FLP and of related bibliography is given.

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Authors
  1. Heinrich Rommelfanger
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  2. Roman Słowiński
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  1. Poznań University of Technology, Poland

    Roman Słowiński

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Rommelfanger, H., Słowiński, R. (1998). Fuzzy Linear Programming with Single or Multiple Objective Functions. In: Słowiński, R. (eds) Fuzzy Sets in Decision Analysis, Operations Research and Statistics. The Handbooks of Fuzzy Sets Series, vol 1. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-5645-9_6

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