In our work we show that the operations of interval algebra can be expressed by morphological operations on an appropriately chosen lattice defined over the set of intervals on the real line, when regarding real interval arithmetic, and in the complex plane, when regarding complex interval arithmetic. Using the morphological representation of the interval operations, a generalization of the additive interval operations over the family of compact convex sets in Rn is considered.
Reliable Computing – Springer Journals
Published: Oct 6, 2004
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