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    高師機構典藏 NKNUIR > 理學院 > 數學系 > 期刊論文 >  Item 987654321/23773
    Please use this identifier to cite or link to this item: http://ir.nknu.edu.tw/ir/handle/987654321/23773

    題名: The Optimality Conditions for Optimization Problems with Convex Constraints and Multiple Fuzzy-Valued Objective Functions
    Authors: 吳憲忠
    Hsien-Chung Wu
    Keywords: Hausdorff metric;Hukuhara difference;H-differentiability;Lagrange multipliers;Pareto optimal solution
    Date: 2009
    Issue Date: 2015-05-06 09:10:23 (UTC+8)
    Abstract: The optimality conditions for multiobjective programming problems with fuzzy-valued objective functions are derived in this paper. The solution concepts for these kinds of problems will follow the concept of nondominated solution adopted in the multiobjective programming problems. In order to consider the differentiation of fuzzy-valued functions, we invoke the Hausdorff metric to define the distance between two fuzzy numbers and the Hukuhara difference to define the difference of two fuzzy numbers. Under these settings, the optimality conditions for obtaining the (strongly, weakly) Pareto optimal solutions are elicited naturally by introducing the Lagrange multipliers.
    關聯: Fuzzy Optimization and Decision Making / vol.8, P. 295-321
    Appears in Collections:[數學系] 期刊論文
    [數學系] 吳憲忠

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