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Some new solution concepts in generalized fuzzy multiobjective optimization problems
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DOI：10.1007/s00500-017-2787-0.png)
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Abstract
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Some new solution concepts to a general fuzzy multiobjective nonlinear programming problem are introduced in this research, and four scalarization techniques are proposed to obtain them. Then, the relation between the set of defined optimal solutions and the set of optimal solutions of the scalarized problems are studied. Moreover, a general scalarized problem is given and shown that these four techniques can be drawn from this problem. Adequate number of numerical examples have been solved to illustrate the techniques.
Keywords:
Fuzzy multiobjective optimization
Weakly M-Pareto optimal solution
Properly M-Pareto optimal solution
Strictly M-Pareto optimal solution
Scalarization
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