Similarity and Distance Measures of Picture Fuzzy Sets with Application in Pattern Recognition

Authors

  • Mohammad Kamrul Hasan Department of Mathematics and Statistics, Bangladesh University of Business and Technology, Dhaka, Bangladesh

DOI:

https://doi.org/10.3329/jnujsci.v11i1.76697

Keywords:

Picture fuzzy sets; Similarity measure; Distance measure; Pattern recognition

Abstract

Picture fuzzy set is the latest influential conception to conduct ambiguous data effectively. The distance and similarity measures are two dominant concepts to calculate the characteristics between two PFSs. The similarity measure evaluates the closeness between the two PFSs where the larger similarity measure corresponds to the closer degree of two PFSs. In this article, a new similarity measure is developed considering the influence of the abstain and refusal groups as each of these influences the results. Finally, a pattern recognition application is illustrated to justify the effectiveness of this new technique and compare the results with other existing methods.

Jagannath University Journal of Science, Volume 11, Number 1, June 2024, pp. 106−117

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Published

2024-10-21

How to Cite

Hasan , M. K. (2024). Similarity and Distance Measures of Picture Fuzzy Sets with Application in Pattern Recognition. Jagannath University Journal of Science, 11(1), 106−117. https://doi.org/10.3329/jnujsci.v11i1.76697

Issue

Vol. 11 No. 1 (2024)

Section

Research Article

License

Copyright (c) 2024 Mohammad Kamrul Hasan

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.