Which Interval Is the Closest to a Given Set?

Authors

Vladik Kreinovich, The University of Texas at El PasoFollow
Olga Kosheleva, The University of Texas at El PasoFollow

Publication Date

7-2016

Comments

Technical Report: UTEP-CS-16-51

Abstract

In some practical situations, we know a set of possible values of a physical quantity -- a set which is not an interval. Since computing with sets is often complicated, it is desirable to approximate this set by an easier-to-process set: namely, with an interval. In this paper, we describe intervals which are the closest approximations to a given set.