Elementary Theory of Similarity and Its Application in Biology and Geography: Multiple-Site Measures of Similarity and Dissimilarity

摘要

A system of axioms of multiple-site similarity measures is considered that is defined on a series of finite descriptive sets. The concept of equivalence of multiple-site similarity measures is proposed. Equivalence classes of multiple-site similarity measures are distinguished. For linear fractional multiple-site similarity measures, types and subtypes are distinguished. A new concept of the consistency of equivalence classes of multiple-site similarity measures is introduced on different-cardinality sequences of series of descriptive sets. Illustrative examples of multiple-site similarity measures are taken from biology and geography.