涉及扩展(F， α， rho, d)型函数的多目标规划的充分性

2011 Fourth International Joint Conference on Computational Sciences and Optimization Pub Date : 2011-04-15 DOI:10.1109/CSO.2011.247

Guolin Yu

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摘要

本文引入了可微多目标规划问题的扩展$(F,\alpha,\rho,d)$ - I型函数。基于这些广义函数，建立了约束多目标规划问题的可行解为弱有效解的充分最优性条件。研究结果深化和丰富了优化理论和应用的内容。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Sufficiency in Multiobjective Programming Involving Extended (F, alpha, rho, d)-type I Functions

In this paper, the extended $(F,\alpha,\rho,d)$-type I functions are introduced for a differentiable multiobjective programming problem. Based upon these generalized functions, sufficient optimality conditions are established for a feasible solution to be a weak efficient solution in constraint multiobjective programming problem. The results deepen and enrich the content of optimization theory and applications.

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2011 Fourth International Joint Conference on Computational Sciences and Optimization

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