Fuzzy linear programming and applications

Fuzzy linear programming and applications This paper presents a survey on methods for solving fuzzy linear programs. First LP models with soft constraints are discussed. Then LP problems in which coefficients of constraints and/or of the objective function may be fuzzy are outlined. Pivotal questions are the interpretation of the inequality relation in fuzzy constraints and the meaning of fuzzy objectives. In addition to the commonly applied extended addition, based on the min-operator and used for the aggregation of the left-hand sides of fuzzy constraints and fuzzy objectives, a more flexible procedure, based on Yager's parametrized t -norm T p , is presented. Finally practical applications of fuzzy linear programs are listed. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png European Journal of Operational Research Elsevier

Fuzzy linear programming and applications

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Abstract

This paper presents a survey on methods for solving fuzzy linear programs. First LP models with soft constraints are discussed. Then LP problems in which coefficients of constraints and/or of the objective function may be fuzzy are outlined. Pivotal questions are the interpretation of the inequality relation in fuzzy constraints and the meaning of fuzzy objectives. In addition to the commonly applied extended addition, based on the min-operator and used for the aggregation of the left-hand sides of fuzzy constraints and fuzzy objectives, a more flexible procedure, based on Yager's parametrized t -norm T p , is presented. Finally practical applications of fuzzy linear programs are listed.

Journal

European Journal of Operational ResearchElsevier

Published: Aug 9, 1996

References

  • Operations Research and its practice in Finland
    Kivijärvi, J.; Korhonen, P.; Wallenius, J.

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