Multiobjective second order symmetric duality with cone constraints

Article Abstract:

A pair of multiobjective symmetric dual programs are formulated for arbitrary cones.

Operations Research, Research, Management science, Observations, Nonlinear programming

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Second order symmetric duality for nonlinear multiobjective mixed integer programming

Article Abstract:

Two pairs of second order symmetric duality are formulated for nonlinear multiobjective mixed integer programs for arbitrary cones. The concepts of efficiency and second order invexity, are used to establish weak, strong, converse, and self-duality theorems for the dual models. Several known results are obtained as special cases.

Methods, Analysis, Integer programming, Duality theory (Mathematics)

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Second order symmetric duality in multiobjective programming involving generalized cone-invex functions

Article Abstract:

The usage of multiobjective programming for the development of a second-order symmetrical duality theorem, based on the optimization of cone-pseudo-invex functions is described.

China, India, Heuristic programming, Properties, Functions (Mathematics), Functional equations, Functions

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