MCDMDistance metric

Cosine Distance

Cosine distance measures the angular distance between two non-zero vectors in a multi-dimensional space. Originally developed by Gerard Salton for information retrieval in 1975, it captures dissimilarity by computing one minus the cosine similarity, ranging from 0 (identical direction) to 1 (opposite direction). It is widely used in text analysis, document comparison, and decision-making contexts where direction matters more than magnitude.

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Sources

  1. Spearman, C. (1904). The proof and measurement of association between two things. American Journal of Psychology, 15(1), 72-101. DOI: 10.2307/1412159
  2. Salton, G., & McGill, M. J. (1975). Introduction to Modern Information Retrieval. McGraw-Hill. link
ScholarGateCosine Distance (Cosine Distance Metric). Retrieved 2026-06-04 from https://scholargate.app/tr/decision-making/cosine-distance