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arXiv · 2403.16511

Extremality of families of sets

Nguyen Duy Cuong·Alexander Y. Kruger·Nguyen Hieu Thao
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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.

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Nguyen Duy Cuong, Alexander Y. Kruger, Nguyen Hieu Thao. 2024-03-25. Extremality of families of sets. https://doi.org/10.1080/02331934.2024.2385656

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