Extremality of families of sets
arXiv:2403.16511 · doi:10.1080/02331934.2024.2385656
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.
arXiv comment12 pages
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