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Intervals of Marks

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Part of the Lecture Notes in Mathematics book series (LNM,volume 2091)

Abstract

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.

Keywords

  • Semantic Function
  • Unite Extension
  • Interval Extension
  • Modal Interval
  • Real Continuous Function

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. L. Jorba, Intervals de Marques (in catalan). Ph.D. thesis, Facultad de Matemáticas, Universidad de Barcelona, Spain, 2003

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© 2014 Springer International Publishing Switzerland

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Sainz, M.A., Armengol, J., Calm, R., Herrero, P., Jorba, L., Vehi, J. (2014). Intervals of Marks. In: Modal Interval Analysis. Lecture Notes in Mathematics, vol 2091. Springer, Cham. https://doi.org/10.1007/978-3-319-01721-1_9

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