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On the separation of convex sets in some idempotent semimodules

✍ Scribed by Walter Briec; Charles Horvath

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
163 KB
Volume
435
Category
Article
ISSN
0024-3795

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✦ Synopsis

Two linear maps are usually needed to separate disjoint convex subsets of an idempotent semimodule. In the context of Max-Plus convexity separation can be achieved by a single map if one considers linear maps with values in a linearly ordered semimodule, whose construction is given here, which is not the Max-Plus semiring R βˆͺ {-∞}.

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