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New optimality conditions for multiobjective fuzzy programming problems | ||
Iranian Journal of Fuzzy Systems | ||
مقاله 3، دوره 17، شماره 3، مرداد و شهریور 2020، صفحه 19-31 اصل مقاله (404.63 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22111/ijfs.2020.5345 | ||
نویسندگان | ||
R. Osuna-Gomez* 1؛ B. Hernandez-Jimenez2؛ Y. Chalco-Cano3؛ G. Ruiz-Garzon4 | ||
1Dpto. de Estadstica e I.O., Fac. Matematicas, Universidad de Sevilla. Spain | ||
2Dpto. Economa, Metodos Cuantitativos e Ha Economica, Universidad Pablo de Olavide, Sevilla, Spain | ||
3Dpto. de Matematica, Universidad de Tarapaca, Arica, Chile | ||
4Dpto. Estadstica e I.O., Universidad de Cadiz, Campus Jerez, Spain | ||
چکیده | ||
In this paper we study fuzzy multiobjective optimization problems defined for $n$ variables. Based on a new $p$-dimensional fuzzy stationary-point definition, necessary efficiency conditions are obtained. And we prove that these conditions are also sufficient under new fuzzy generalized convexity notions. Furthermore, the results are obtained under general differentiability hypothesis. | ||
کلیدواژهها | ||
Multiobjective fuzzy optimization؛ generalized differentiable fuzzy functions؛ fuzzy generalized convexity | ||
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