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Stability of majorly efficient points and solutions in multiobjective programming

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Abstract

In this paper, we obtain some other properties of the majorly efficient points and solutions of the multiobjective optimization presented in two previous papers of Hu. By decomposing the major cone, which is non-pointed, non-convex and non-closed into a finite union of disjoint strictly supported pointed convex cones, we discuss the continuous perturbations of the decision space. Several sufficient conditions for the continuity of the sets of majorly efficient points and solutions are given.

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Authors and Affiliations

  1. Department of Mathematics and Mechanics, Southeast University, 210096, Nanjing

    Gu Guohua & Hu Yuda

  2. Department of Applied Mathematics, Shanghai Jiaotong University, 200030, Shanghai

    Gu Guohua & Hu Yuda

Authors
  1. Gu Guohua
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  2. Hu Yuda
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Guohua, G., Yuda, H. Stability of majorly efficient points and solutions in multiobjective programming. Appl. Math. 10, 313–324 (1995). https://doi.org/10.1007/BF02662873

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  • DOI: https://doi.org/10.1007/BF02662873

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