Geodesic
Application of the $\Lambda$–monotonicity to the search for optimal solutions in higher-dimensional problems
Contemporary Mathematics and Its Applications, Tome 95 (2015), pp. 65-71 Cet article a éte moissonné depuis la source Math-Net.Ru

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The notion of Pareto optimality is widely used for solving many practical problems. The notion of $\Lambda$-optimality is a generalization of the Pareto optimality; the set of $\Lambda$-optimal solutions can be either wider or narrower than the set of Pareto-optimal solutions. In this paper, we generalize some results for $\Lambda$-optimal target functions obtained earlier, introduce the notion of a critical set of $\Lambda$-optimal solutions, and discuss certain approaches to construction of optimal solutions. 
@article{CMA_2015_95_a5,
     author = {V. V. Kiselev},
     title = {Application of the $\Lambda${\textendash}monotonicity to the search for optimal solutions in higher-dimensional problems},
     journal = {Contemporary Mathematics and Its Applications},
     pages = {65--71},
     year = {2015},
     volume = {95},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMA_2015_95_a5/}
}
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V. V. Kiselev. Application of the $\Lambda$–monotonicity to the search for optimal solutions in higher-dimensional problems. Contemporary Mathematics and Its Applications, Tome 95 (2015), pp. 65-71. http://geodesic.mathdoc.fr/item/CMA_2015_95_a5/