Extremality of families of sets
Optimization and Control
2024-09-04 v3
Abstract
The paper proposes another extension of the extremal principle. A new extremality model involving collections of arbitrary families of sets is studied. It generalizes the conventional model based on linear translations of given sets as well as its set-valued extensions. This approach leads to a more general and simpler version of fuzzy separation. The new model is capable of treating a wider range of optimization and variational problems.
Keywords
Cite
@article{arxiv.2403.16511,
title = {Extremality of families of sets},
author = {Nguyen Duy Cuong and Alexander Y. Kruger and Nguyen Hieu Thao},
journal= {arXiv preprint arXiv:2403.16511},
year = {2024}
}
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12 pages