A Standardized Treatment of Binary Similarity Measures with an Introduction to k-Vector Percentage Normalized Similarity

摘要

This paper attempts to codify a standard nomenclature for similarity measures based on recent literature and to advance the field of similarity measures through the introduction of non-binary similarity between more than two attribute vectors. The nomenclature standardization is accomplished through the integration of common terminology into non-binary similarity measures, and the refinement of the terminology with regard to k-vector binary and non-binary measures. This nomenclature standardization lays the groundwork for the introduction of k-vector percentage normalized similarity measures that follow the same fundamental form as pre-existing binary measures; a method not previously documented.Mathematics Subject Classification: 68; 91Keywords: Binary Similarity; Nonbinary Similarity; Nonparametric SimilarityTesting; Multivector Similarity