Journal
INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS
Volume 5, Issue 3, Pages 403-412Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s13042-013-0173-5
Keywords
Multi-objective; Linear programming; Fuzzy number; Q-effective solution; effective solution
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Funding
- 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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