Abstract
The arithmetic on an extended set of proper and improper intervals presents algebraic completion of the conventional interval arithmetic allowing thus efficient solution of some interval algebraic problems. In this paper we summarize and present all distributive relations, known by now, on multiplication and addition of generalized (proper and improper) intervals.
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Popova, E.D. Multiplication Distributivity of Proper and Improper Intervals. Reliable Computing 7, 129–140 (2001). https://doi.org/10.1023/A:1011470131086
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DOI: https://doi.org/10.1023/A:1011470131086