# The Set of Hausdorff Continuous Functions - The Largest Linear Space of Interval Functions

@article{Anguelov2006TheSO, title={The Set of Hausdorff Continuous Functions - The Largest Linear Space of Interval Functions}, author={Roumen Anguelov and Svetoslav Markov and Blagovest Sendov}, journal={Reliable Computing}, year={2006}, volume={12}, pages={337-363} }

- Published 2006 in Reliable Computing
DOI:10.1007/s11155-006-9006-5

Hausdorff continuous (H-continuous) functions are special interval-valued functions which are commonly used in practice, e.g. histograms are such functions. However, in order to avoid arithmetic operations with intervals, such functions are traditionally treated by means of corresponding semi-continuous functions, which are real-valued functions. One difficulty in using H-continuous functions is that, if we add two H-continuous functions that have interval values at same argument using point… CONTINUE READING

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