"Towards Faster Estimation of Statistics and ODEs Under Interval, P-Box" by Vladik Kreinovich

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Departmental Technical Reports (CS)

Title

Towards Faster Estimation of Statistics and ODEs Under Interval, P-Box, and Fuzzy Uncertainty: From Interval Computations to Rough Set-Related Computations

Authors

Vladik Kreinovich, University of Texas at El PasoFollow

Publication Date

3-2011

Comments

Technical Report: UTEP-CS-11-09b

Published in In: Sergey O. Kuznetsov et al. (Eds.) Proceedings of the Thirteenth International Conference on Rough Sets, Fuzzy Sets and Granular Computing RSFDGrC'2011 (Moscow, Russia, June 25-27, 2011), Springer Lecture Notes on Artificial Intelligence LNAI, Springer-Verlag, Berlin, Heidelberg, 2011, Vol. 6743, pp. 3-10.

Proceedings of the Thirteenth International Conference on Rough Sets, Fuzzy Sets and Granular Computing RSFDGrC'2011, Moscow, Russia, June 25-27, 2011.

Abstract

Interval computations estimate the uncertainty of the result of data processing in situations in which we only know the upper bounds $\Delta$ on the measurement errors. In interval computations, at each intermediate stage of the computation, we have intervals of possible values of the corresponding quantities. As a result, we often have bounds with excess width. One way to remedy this problem is to extend interval technique to rough-set computations, where on each stage, in addition to intervals of possible values of the quantities, we also keep rough sets representing possible values of pairs (triples, etc.).

tr11-09.pdf (83 kB)
Original file: CS-UTEP-11-09

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