Journal
APPLIED MATHEMATICAL MODELLING
Volume 37, Issue 10-11, Pages 6855-6869Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2013.01.048
Keywords
Fuzzy multi-objective linear programming; Fuzzy constraints; Triangular fuzzy numbers; Deviation degree; Weighted max-min method
Funding
- National Natural Science Foundation of China [71202140]
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This paper proposes a method for solving fuzzy multi-objective linear programming (FMOLP) problems where all the coefficients are triangular fuzzy numbers and all the constraints are fuzzy equality or inequality. Using the deviation degree measures and weighted max-min method, the FMOLP problem is transformed into crisp linear programming (CLP) problem. If decision makers fix the values of deviation degrees of two side fuzzy numbers in each constraint, then the delta-pareto-optimal solution of the FMOLP problems can be obtained by solving the CLP problem. The bigger the values of the deviation degrees are, the better the objectives function values will be. So we also propose an algorithm to find a balance-pareto-optimal solution between two goals in conflict: to improve the objectives function values and to decrease the values of the deviation degrees. Finally, to illustrate our method, we solve a numerical example. (C) 2013 Elsevier Inc. All rights reserved.
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