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On the dimension of max–min convex sets
2015
Fuzzy sets and systems (Print)
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We introduce a notion of dimension of max-min convex sets, following the approach of tropical convexity. We introduce a max-min analogue of the tropical rank of a matrix and show that it is equal to the dimension of the associated polytope. We describe the relation between this rank and the notion of strong regularity in max-min algebra, which is traditionally defined in terms of unique solvability of linear systems and trapezoidal property.
doi:10.1016/j.fss.2014.10.008
fatcat:3roenjw5jrerlgzxwffeqx7vza