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Application of the Λ-Monotonicity to the Search for Optimal Solutions in Higher-Dimensional Problems

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Abstract

The notion of Pareto optimality is widely used for solving many practical problems. The notion of Λ-optimality is a generalization of the Pareto optimality; the set of Λ-optimal solutions can be either wider or narrower than the set of Pareto-optimal solutions. In this paper, we generalize some results for Λ-optimal target functions obtained earlier, introduce the notion of a critical set of Λ-optimal solutions, and discuss certain approaches to construction of optimal solutions.

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References

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Authors and Affiliations

  1. Financial University under the Government of the Russian Federation, Moscow, Russia

    V. V. Kiselev

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  1. V. V. Kiselev
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Correspondence to V. V. Kiselev.

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Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 95, Models of Mathematical Economics, 2015.

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Kiselev, V.V. Application of the Λ-Monotonicity to the Search for Optimal Solutions in Higher-Dimensional Problems. J Math Sci 216, 667–673 (2016). https://doi.org/10.1007/s10958-016-2926-7

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  • DOI: https://doi.org/10.1007/s10958-016-2926-7

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