Metric Spaces for Near Sets
James Francis Peters, R Manitoba · 2011
The problem considered in this paper is the measurement of nearness between disjoint sets that resemble each other. Such sets are descriptively near sets. The solution to the problem results from the introduction of a normed feature space containing n-dimensional feature vectors of numbers representing descriptions of objects of interest and a metric that measures the distance between feature vectors. The nearness of disjoint sets is determined by measuring the distance between set element descriptions represented by feature vectors. An application of the proposed approach to measuring the nearness of sets is given in terms of the correspondence between digital images.