A Discussion on the Concept of Similarity

Abstract

In this paper a concept of relative measurement of similarity is proposed. With the approach presented we can quantify degree and percentage of similarities between two objects. Objects may be anything, a geometrical shape, a domestic article, a machine part, a piece of art, etc. In this paper, similarity is defined as a set of answers as True or False to a set of questions on attributes of these objects. The paper also discusses the properties of the proposed concept of similarity.

Introduction

References

[1] Cantor, Georg (1874), \"Ueber eine Eigenschaft des Inbegriffes aller reellen algebraischen Zahlen\", Journal für die reine und angewandte Mathematik (in German), 1874 (77): 258–262, doi:10.1515/crll.1874.77.258, S2CID 199545885 [2] Kolmogorov, A.N.; Fomin, S.V. (1970), Introductory Real Analysis (Rev. English ed.), New York: Dover Publications, pp. 2–3, ISBN 0486612260, OCLC 1527264 [3] Duignan, B. (2024, April 25). Venn diagram. Encyclopedia Britannica. https://www.britannica.com/topic/Venn-diagram [4] Smith, Douglas; Eggen, Maurice; St. Andre, Richard (2006), A Transition to Advanced Mathematics (6th ed.), Brooks/Cole, ISBN 978-0-534-39900-9

Copyright

Copyright © 2024 Sourjya Gupta, Subrata Gupta. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.