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Published in:
2014 | OriginalPaper | Chapter
7. Twins and f ∗Algorithm
Authors : Miguel A. Sainz, Joaquim Armengol, Remei Calm, Pau Herrero, Lambert Jorba, Josep Vehi
Published in: Modal Interval Analysis
Publisher: Springer International Publishing
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Abstract
This chapter deals with the construction of an algorithm to obtain inner and outer approximations of the f
∗ extension of a continuous function f, in the case of non-monotony of f in the studied domain. One convenient approach, but not the only one, is to simultaneously work with both inner and outer approximations. This kind of interval representation, referred to as twins, have already been studied in the field of classical intervals [55, 64]. First of all, twins with modal intervals will be presented.