A New Similarity Measure Based on Falsity Value between Single Valued Neutrosophic Sets Based on the Centroid Points of Transformed Single Valued Neutrosophic Numbers with Applications to Pattern Recognition

Authors

  • Memet Sahin Department of Mathematics, Gaziantep University, Gaziantep, Turkey
  • Necati Olgun Department of Mathematics, Gaziantep University, Gaziantep
  • Vakkas Uluçay Department of Mathematics, Gaziantep University, Gaziantep, Turkey
  • Abdullah Kargın Department of Mathematics, Gaziantep University, Gaziantep, Turkey
  • Florentin Smarandache Department of Mathematics, University of New Mexico, Gallup, NM 87301, USA

Keywords:

Neutrosophic sets, Single Valued Neutrosophic Numbers, Centroid Points

Abstract

In this paper, we propose some transformations based on the centroid points between single valued neutrosophic numbers. We introduce these transformations according to truth, indeterminacy and falsity value of single valued neutrosophic numbers. We propose a new similarity measure based on falsity value between single valued neutrosophic sets. Then we prove some properties on new similarity measure based on falsity value between single valued neutrosophic sets. Furthermore, we propose similarity measure based on falsity value between single valued neutrosophic sets based on the centroid points of transformed single valued neutrosophic numbers. We also apply the proposed similarity measure between single valued neutrosophic sets to deal with pattern recognition problems.

Downloads

Download data is not yet available.

Downloads

Published

2020-09-15

Issue

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

How to Cite

Sahin, M. ., Olgun, N., Uluçay, V. ., Kargın, A., & Smarandache, F. (2020). A New Similarity Measure Based on Falsity Value between Single Valued Neutrosophic Sets Based on the Centroid Points of Transformed Single Valued Neutrosophic Numbers with Applications to Pattern Recognition. Neutrosophic Sets and Systems, 15, 31-48. https://fs.unm.edu/nss8/index.php/111/article/view/378

Most read articles by the same author(s)

<< < 1 2 3 4 5 6 7 8 9 10 > >>