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Some equivalent problems in set optimization

✍ Scribed by Elvira Hernández; Luis Rodríguez-Marín; Miguel Sama


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
727 KB
Volume
37
Category
Article
ISSN
0167-6377

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📜 SIMILAR VOLUMES


Set separation problems and global optim
✍ James E. Falk; Yelena Dandurova; Lana Yeganova 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 372 KB

Given a pair of finite, disjoint sets and in , a fundamental problem with numerous applications is to find a simple function () defined over which separates the sets in the sense that () > 0 for all ∈ and () < 0 for all ∈ . This can always be done (e.g., with the piecewise linear function defined by