Article ID Journal Published Year Pages File Type
6856104 Fuzzy Sets and Systems 2015 14 Pages PDF
Abstract
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 the trapezoidal property.
Related Topics
Physical Sciences and Engineering Computer Science Artificial Intelligence
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