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 4 Determination of the patient’s suffering illness under various methods

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	Distance values between					Patient \(Q\) suffering from disease
Distance measures	\(\left( {P_{1} ,Q} \right)\)	\(\left( {P_{2} ,Q} \right)\)	\(\left( {P_{3} ,Q} \right)\)	\(\left( {P_{4} ,Q} \right)\)	\(\left( {P_{5} ,Q} \right)\)	Patient \(Q\) suffering from disease
\({\mathbf{\mathcal{D}}}_{H}\)	0.8000	2.7000	2.4000	1.9000	2.3000	\(P_{1}\) (Malaria)
\({\mathbf{\mathcal{D}}}_{E}\)	0.3317	1.1225	1.0392	0.7874	0.9539	\(P_{1}\) (Malaria)
\({\mathbf{\mathcal{D}}}_{{{\text{nH}}}}\)	0.1600	0.5400	0.4800	0.3800	0.4600	\(P_{1}\) (Malaria)
\({\mathbf{\mathcal{D}}}_{{{\text{nE}}}}\)	0.1483	0.5020	0.4648	0.3521	0.4266	\(P_{1}\) (Malaria)
\({\mathbf{\mathcal{D}}}_{{{\text{BA}}}}^{1}\)	0.0070	0.1748	0.1500	0.0607	0.1000	\(P_{1}\) (Malaria)
\({\mathbf{\mathcal{D}}}_{{{\text{BA}}}}^{2}\)	0.0700	0.4304	0.4276	0.2747	0.3056	\(P_{1}\) (Malaria)
\({\mathbf{\mathcal{D}}}_{G}\)	0.1000	0.5400	0.4800	0.3400	0.3800	\(P_{1}\) (Malaria)
\({\mathbf{\mathcal{D}}}_{{{\text{YF}}}}\)	0.1600	0.5400	0.4800	0.3800	0.4600	\(P_{1}\) (Malaria)
\({\mathbf{\mathcal{D}}}_{{{\text{WX}}}}\)	0.0900	0.4900	0.4550	0.3100	0.3450	\(P_{1}\) (Malaria)
\({\mathbf{\mathcal{D}}}_{{{\text{JHP}}}}\)	0.1600	0.5400	0.4800	0.3800	0.4600	\(P_{1}\) (Malaria)
\({\mathbf{\mathcal{D}}}_{{{\text{SF}}}}\)	0.0299	0.1747	0.1642	0.0784	0.1097	\(P_{1}\) (Malaria)
\({\mathbf{\mathcal{D}}}_{{{\text{RX}}}}\)	0.1295	0.5040	0.5438	0.3352	0.3552	\(P_{1}\) (Malaria)
\({\mathbf{\mathcal{D}}}_{{{\text{PY}}}}\)	0.1280	0.5440	0.5680	0.3700	0.3760	\(P_{1}\) (Malaria)
\({\mathbf{\mathcal{D}}}_{{{\text{EA}}}}\)	0.0476	0.0780	0.0688	0.1316	0.0960	\(P_{1}\) (Malaria)
\({\mathbf{\mathcal{D}}}_{{{\text{SB}}}}\)	0.1440	0.5280	0.5500	0.3460	0.3400	\(P_{1}\) (Malaria)
\({\mathbf{\mathcal{D}}}_{{{\text{MP}}}}\)	0.1343	0.7652	0.7103	0.5514	0.6309	\(P_{1}\) (Malaria)
\({\mathbf{\mathcal{D}}}_{{{\text{Chd}},1}}\)	0.0912	0.5321	0.6036	0.3418	0.3477	\(P_{1}\) (Malaria)
\({\mathbf{\mathcal{D}}}_{{{\text{Chd}},2}}\)	0.2924	0.7636	0.8522	0.5426	0.6009	\(P_{1}\) (Malaria)
\({\mathbf{\mathcal{D}}}_{{{\text{nAChd,}}1}}^{0.5}\)	0.0323	0.2221	0.2518	0.1430	0.1564	\(P_{1}\) (Malaria)
\({\mathbf{\mathcal{D}}}_{{{\text{nAChd}},1}}^{0.7}\)	0.0201	0.1263	0.1456	0.0843	0.0854	\(P_{1}\) (Malaria)
\({\mathbf{\mathcal{D}}}_{{{\text{nAChd}},2}}^{0.5}\)	0.0506	0.2127	0.2436	0.1551	0.1668	\(P_{1}\) (Malaria)
\({\mathbf{\mathcal{D}}}_{{{\text{nAChd}},2}}^{0.7}\)	0.0260	0.1235	0.1462	0.0721	0.0824	\(P_{1}\) (Malaria)

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