A novel fuzzy TOPSIS method based on T-spherical fuzzy Aczel–Alsina power Heronian mean operators with applications in pharmaceutical enterprises’ selection

Liu, Peide; Khan, Qaisar; Jamil, Ayesha; Haq, Ijaz Ul; Sikandar, Waseem; Hussain, Fawad

doi:10.1007/s40747-023-01249-3

Table 9 TSPF evaluation matrix \({\mathbb{M}}_{3}\)

From: A novel fuzzy TOPSIS method based on T-spherical fuzzy Aczel–Alsina power Heronian mean operators with applications in pharmaceutical enterprises’ selection

Alternatives/ Criteria	\('\!O_{1}\)	\('\!O_{2}\)	\('\!O_{3}\)	\('\!O_{4}\)	\('\!O_{5}\)	\('\!O_{6}\)	\('\!O_{7}\)
\('\!\gamma_{1}\)	\(\left\langle {0.5,0.5,0.5} \right\rangle\)	\(\left\langle {0.5,0.5,0.5} \right\rangle\)	\(\left\langle {0.6,0.4,0.4} \right\rangle\)	\(\left\langle {0.4,0.4,0.6} \right\rangle\)	\(\left\langle {0.3,0.3,0.7} \right\rangle\)	\(\left\langle {0.5,0.5,0.5} \right\rangle\)	\(\left\langle {0.2,0.2,0.8} \right\rangle\)
\('\!\gamma_{2}\)	\(\left\langle {0.6,0.4,0.4} \right\rangle\)	\(\left\langle {0.7,0.3,0.3} \right\rangle\)	\(\left\langle {0.5,0.5,0.5} \right\rangle\)	\(\left\langle {0.5,0.5,0.5} \right\rangle\)	\(\left\langle {0.8,0.2,0.2} \right\rangle\)	\(\left\langle {0.4,0.4,0.6} \right\rangle\)	\(\left\langle {0.5,0.5,0.5} \right\rangle\)
\('\!\gamma_{3}\)	\(\left\langle {0.5,0.5,0.5} \right\rangle\)	\(\left\langle {0.8,0.2,0.2} \right\rangle\)	\(\left\langle {0.3,0.3,0.7} \right\rangle\)	\(\left\langle {0.7,0.3,0.3} \right\rangle\)	\(\left\langle {0.7,0.3,0.3} \right\rangle\)	\(\left\langle {0.6,0.4,0.4} \right\rangle\)	\(\left\langle {0.6,0.4,0.4} \right\rangle\)
\('\!\gamma_{4}\)	\(\left\langle {0.9,0.1,0.1} \right\rangle\)	\(\left\langle {0.7,0.3,0.3} \right\rangle\)	\(\left\langle {0.5,0.5,0.5} \right\rangle\)	\(\left\langle {0.8,0.2,0.2} \right\rangle\)	\(\left\langle {0.8,0.2,0.2} \right\rangle\)	\(\left\langle {0.5,0.5,0.5} \right\rangle\)	\(\left\langle {0.4,0.4,0.6} \right\rangle\)
\('\!\gamma_{5}\)	\(\left\langle {0.5,0.5,0.5} \right\rangle\)	\(\left\langle {0.8,0.2,0.2} \right\rangle\)	\(\left\langle {0.4,0.4,0.6} \right\rangle\)	\(\left\langle {0.6,0.4,0.4} \right\rangle\)	\(\left\langle {0.7,0.3,0.3} \right\rangle\)	\(\left\langle {0.8,0.2,0.2} \right\rangle\)	\(\left\langle {0.6,0.4,0.4} \right\rangle\)
\('\!\gamma_{6}\)	\(\left\langle {0.6,0.4,0.4} \right\rangle\)	\(\left\langle {0.7,0.3,0.3} \right\rangle\)	\(\left\langle {0.8,0.2,0.2} \right\rangle\)	\(\left\langle {0.7,0.3,0.3} \right\rangle\)	\(\left\langle {0.5,0.5,0.5} \right\rangle\)	\(\left\langle {0.7,0.3,0.3} \right\rangle\)	\(\left\langle {0.5,0.5,0.5} \right\rangle\)

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