Rajput, A.S.; Shukla, S.; Thakur, S.S. Cosine Similarity Measures of (m, n)-Rung Orthopair Fuzzy Sets and Their Applications in Plant Leaf Disease Classification. Symmetry 2023, 15, 1385, doi:10.3390/sym15071385.
Rajput, A.S.; Shukla, S.; Thakur, S.S. Cosine Similarity Measures of (m, n)-Rung Orthopair Fuzzy Sets and Their Applications in Plant Leaf Disease Classification. Symmetry 2023, 15, 1385, doi:10.3390/sym15071385.
Rajput, A.S.; Shukla, S.; Thakur, S.S. Cosine Similarity Measures of (m, n)-Rung Orthopair Fuzzy Sets and Their Applications in Plant Leaf Disease Classification. Symmetry 2023, 15, 1385, doi:10.3390/sym15071385.
Rajput, A.S.; Shukla, S.; Thakur, S.S. Cosine Similarity Measures of (m, n)-Rung Orthopair Fuzzy Sets and Their Applications in Plant Leaf Disease Classification. Symmetry 2023, 15, 1385, doi:10.3390/sym15071385.
Abstract
This article introduces ten similarity measures that utilize cosine and cotangent functions to compare (m,n)-rung orthopair fuzzy sets, this a super class of q-rung orthopair fuzzy sets. Further, we applied our established weighted similarity measures to medical diagnosis, pattern recognition,and building material problems and also presented the comparison between established measures with the existing cosine and cotangent measures of q-rung orthopair, pythagorean and intuitionistic fuzzy sets. Lastly, we considered a numerical example that demonstrates the effective and scientific application of these similarity measures in plant leaf disease classification. Furthermore, we present graphical interpretations to demonstrate the effectiveness of our established measures.
Engineering, Electrical and Electronic Engineering
Copyright:
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.
