4.5 Article

Research on multi-objective linear programming problem with fuzzy coefficients in constraints

Journal

Publisher

SPRINGER HEIDELBERG
DOI: 10.1007/s13042-013-0173-5

Keywords

Multi-objective; Linear programming; Fuzzy number; Q-effective solution; effective solution

Funding

  1. Natural Science Foundation of Hebei Province [A2012502061]

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The concepts of Q-effective solution and effective solution are extended to the model of multi-objective linear programming problem with fuzzy coefficients in constraints. Q-effective solution and effective solution are defined as fuzzy sets. The degree of an element as Q-effective solution is uniquely determined, and it fully describes the degree of solution satisfying constraints. Further, the concept of effective solution is introduced. Finally, a numerical example is given to illustrate the difference between Q-effective solution and effective solution.

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