Abstract:
We study the interrelationship between the notions of potential optimality and nondominance without the assumption of the existence of value functions monotonic with respect to a non-strict preference.
Citation:
V. V. Podinovskii, “On the relation of the notions of potential optimality and non-dominance”, Avtomat. i Telemekh., 2012, no. 1, 184–187; Autom. Remote Control, 73:1 (2012), 167–170
\Bibitem{Pod12}
\by V.~V.~Podinovskii
\paper On the relation of the notions of potential optimality and non-dominance
\jour Avtomat. i Telemekh.
\yr 2012
\issue 1
\pages 184--187
\mathnet{http://mi.mathnet.ru/at3604}
\transl
\jour Autom. Remote Control
\yr 2012
\vol 73
\issue 1
\pages 167--170
\crossref{https://doi.org/10.1134/S0005117912010146}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84856164059}
Linking options:
https://www.mathnet.ru/eng/at3604
https://www.mathnet.ru/eng/at/y2012/i1/p184
This publication is cited in the following 3 articles:
V. V. Podinovski, “Potential optimality in multicriterial optimization”, Comput. Math. Math. Phys., 54:3 (2014), 429–438
Podinovskii V.V., “Potentsialnaya optimalnost i optimalnost po pareto, sleiteru i dzhoffrionu”, Informatsionnye tekhnologii modelirovaniya i upravleniya, 80:2 (2013), 109–115
Podinovski V.V., “Potential Optimality of Pareto Optima”, First International Conference on Information Technology and Quantitative Management, Procedia Computer Science, 17, eds. Shi Y., Xi Y., Wolcott P., Tian Y., Li J., Berg D., Chen Z., HerreraViedma E., Kou G., Lee H., Peng , Elsevier Science BV, 2013, 1107–1112