Abstract
Different basic notions like the solvability set, the stability set of the first and of the second kind for the smooth fuzzy parametric multiobjective NLP programs have been discussed in several papers. In this paper, these notions have been defined and qualitatively analyzed for a general class of nonsmooth multiobjective nonlinear fractional programming problems with fuzzy parameters under the concept of α-pareto optimality. The stability sets of the third and of the fourth kinds have also been defined and analyzed for this problem. A determination of the stability sets of the third and of the fourth kinds will be given.
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