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On Perturbation Measure of Sets : Properties

Krawczak M., Szkatuła G.

Journal of Automation Mobile Robotics and Intelligent Systems

2014

Vol. 8, No. 4

59--62

In this paper we describe a new measure of remoteness between sets described by nominal values. The introduced measures of perturbation of one set by another are considered instead of commonly used distance between two sets. The operations of the set theory are operated and the considered measures describe changes of the perturbed second set by adding the first one or vice versa. The values of the measure of sets’ perturbation are range between 0 and 1, and in general, are not symmetric – it means that the perturbation of one set by another is not the same as the perturbation of the second set by the first one.