Intervals of Marks
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Intervals, whether classical or modal, pretend to represent numerical information in a coherent way and, for that, one of the main problems is rounding. Indeed, using a digital scale with a finite number of digits, computations will have to be rounded in a convenient way. Working with non-interval numeric values, the best rounding is that which guarantees that the obtained value is “the closest” to the theoretical solution. Working with modal intervals the rule of rounding cannot be the same. Traditionally, the rounding process has been always a nuisance inherent in interval computation, but necessary to keep the semantic interpretations that these computations provide.
KeywordsSemantic Function Unite Extension Interval Extension Modal Interval Real Continuous Function
- 46.L. Jorba, Intervals de Marques (in catalan). Ph.D. thesis, Facultad de Matemáticas, Universidad de Barcelona, Spain, 2003Google Scholar