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

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 uniqu...

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Bibliographic Details
Published in:International journal of machine learning and cybernetics Vol. 5; no. 3; pp. 403 - 412
Main Authors: Zhang, Guoli, Zuo, Hua
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2014
Springer Nature B.V
Subjects:
Algorithms
Artificial Intelligence
Complex Systems
Computational Intelligence
Control
Credibility
Decision making
Decomposition
Engineering
Fuzzy sets
Linear programming
Mathematical programming
Mechatronics
Multiple objective analysis
Optimization
Original Article
Pattern Recognition
Production planning
Robotics
Systems Biology
Variables
Q
Linear programming
effective solution
Multi-objective
Fuzzy number
ISSN:1868-8071, 1868-808X
Online Access:Get full text
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Summary: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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ISSN:1868-8071
1868-808X
DOI:10.1007/s13042-013-0173-5