Symmetric duality for multi-objective second-order fractional programs

Geeta Sachdev
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Abstract

A pair of symmetric dual second-order multi-objective fractional programming programs is formulated. Various duality results are established for this pair which further helps to study minimax mixed integer programming problems. Symmetric duality theorem is established under pseudobonvexity and multiplicative separability assumptions on the functions involved.
多目标二阶分数规划的对称对偶性
构造了一对对称对偶二阶多目标分式规划方案。得到了各种对偶结果,进一步有助于极大极小混合整数规划问题的研究。在函数的伪bonvexity和乘法可分性假设下,建立了对称对偶定理。
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