Email this article Application of the Λ-Monotonicity to the Search for Optimal Solutions in Higher-Dimensional Problems
- Authors: Kiselev V.V.1
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Affiliations:
- Financial University under the Government of the Russian Federation
- Issue: Vol 216, No 5 (2016)
- Pages: 667-673
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/237881
- DOI: https://doi.org/10.1007/s10958-016-2926-7
- ID: 237881
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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.
About the authors
V. V. Kiselev
Financial University under the Government of the Russian Federation
Author for correspondence.
Email: bars46@gmail.com
Russian Federation, Moscow
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