"Negative" Results -- When the Measured Quantity Is Outside the Sensor's Range -- Can Help Data Processing

Authors

Jonatan Contreras, The University of Texas at El PasoFollow
Francisco Zapata, The University of Texas at El PasoFollow
Olga Kosheleva, The University of Texas at El PasoFollow
Vladik Kreinovich, The University of Texas at El PasoFollow
Martine Ceberio, The University of Texas at El PasoFollow

Publication Date

7-2021

Comments

Technical Report: UTEP-CS-20-76d

Abstract

In many real-life situations, we know the general form of the dependence y = f(x, c₁, ..., c_m) between physical quantities, but the values need to be determined experimentally, based on the results of measuring x and y. In some cases, we do not get any result of measuring y since the actual value is outside the range of the measuring instrument. Usually, such cases are ignored. In this paper, we show that taking these cases into account can help data processing -- by improving the accuracy of our estimates of c_i and thus, by improving the accuracy of the resulting predictions of y.