Nonlinear distance measures under the framework of Pythagorean fuzzy sets with applications in problems of pattern recognition, medical diagnosis, and COVID-19 medicine selection

Dutta, Palash; Borah, Gourangajit; Gohain, Brindaban; Chutia, Rituparna

doi:10.1186/s43088-023-00375-8

Beni-Suef University Journal of Basic and Applied Sciences

Table 3 Results obtained under various methods for the most suitable pattern

From: Nonlinear distance measures under the framework of Pythagorean fuzzy sets with applications in problems of pattern recognition, medical diagnosis, and COVID-19 medicine selection

Distance measures	Distances between patterns			Most suitable pattern
Distance measures	\(\left( {P_{1} ,Q} \right)\)	\(\left( {P_{2} ,Q} \right)\)	\(\left( {P_{3} ,Q} \right)\)	Most suitable pattern
\({\mathbf{\mathcal{D}}}_{H}\)	1.1000	0.3000	1.4000	\(P_{2}\)
\({\mathbf{\mathcal{D}}}_{E}\)	0.5657	0.1732	0.8718	\(P_{2}\)
\({\mathbf{\mathcal{D}}}_{nH}\)	0.3667	0.1000	0.4667	\(P_{2}\)
\({\mathbf{\mathcal{D}}}_{{{\varvec{nE}}}}\)	0.3266	0.1000	0.5033	\(P_{2}\)
\({\mathbf{\mathcal{D}}}_{{{\text{BA}}}}^{1}\)	0.0803	0.0241	0.1983	\(P_{2}\)
\({\mathbf{\mathcal{D}}}_{{{\text{BA}}}}^{2}\)	0.2754	0.1000	0.3316	\(P_{2}\)
\({\mathbf{\mathcal{D}}}_{G}\)	0.3667	0.1000	0.4667	\(P_{2}\)
\({\mathbf{\mathcal{D}}}_{{{\text{YF}}}}\)	0.3667	0.1000	0.4667	\(P_{2}\)
\({\mathbf{\mathcal{D}}}_{{{\text{WX}}}}\)	0.3250	0.1000	0.4167	\(P_{2}\)
\({\mathbf{\mathcal{D}}}_{{{\text{JHP}}}}\)	0.3667	0.1000	0.4667	\(P_{2}\)
\({\mathbf{\mathcal{D}}}_{{{\text{SF}}}}\)	0.1112	0.0229	0.2005	\(P_{2}\)
\({\mathbf{\mathcal{D}}}_{{{\text{RX}}}}\)	0.4823	0.1439	0.5393	\(P_{2}\)
\({\mathbf{\mathcal{D}}}_{{{\text{PY}}}}\)	0.4967	0.1500	0.5467	\(P_{2}\)
\({\mathbf{\mathcal{D}}}_{{{\text{EA}}}}\)	0.0903	0.0687	0.1146	\(P_{2}\)
\({\mathbf{\mathcal{D}}}_{{{\text{SB}}}}\)	0.4889	0.1856	0.4933	\(P_{2}\)
\({\mathbf{\mathcal{D}}}_{{{\text{MP}}}}\)	0.5375	0.1551	0.5995	\(P_{2}\)
\({\mathbf{\mathcal{D}}}_{{{\text{Chd}},1}}\)	0.5101	0.2469	0.5172	\(P_{2}\)
\({\mathbf{\mathcal{D}}}_{{{\text{Chd}},2}}\)	0.8527	0.5334	0.8649	\(P_{2}\)
\({\mathbf{\mathcal{D}}}_{{{\text{nAChd}},1}}^{0.2}\)	0.4343	0.2302	0.5023	\(P_{2}\)
\({\mathbf{\mathcal{D}}}_{{{\text{nAChd}},1}}^{0.6}\)	0.1624	0.0667	0.1703	\(P_{2}\)
\({\mathbf{\mathcal{D}}}_{{{\text{nAChd}},2}}^{0.2}\)	0.5001	0.3426	0.5324	\(P_{2}\)
\({\mathbf{\mathcal{D}}}_{{{\text{nAChd}},2}}^{0.6}\)	0.1628	0.1042	0.1718	\(P_{2}\)

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