Prioritizing real estate enterprises based on credit risk assessment: an integrated multi-criteria group decision support framework

Chen, Zhen-Song; Zhou, Jia; Zhu, Chen-Ye; Wang, Zhu-Jun; Xiong, Sheng-Hua; Rodríguez, Rosa M.; Martínez, Luis; Skibniewski, Mirosław J.

doi:10.1186/s40854-023-00517-y

Financial Innovation

Table 11 Decision matrix of the Liu’s method

From: Prioritizing real estate enterprises based on credit risk assessment: an integrated multi-criteria group decision support framework

	\({c_1}\)	\({c_2}\)	\({c_3}\)	\({c_4}\)	\({c_5}\)	\({c_6}\)	\({c_7}\)	\({c_8}\)
\({e_1}\)	\(\left\{ {\left( {{s_{3}},1} \right) } \right\}\)	\(\left\{ {\left( {{s_{4}},1} \right) } \right\}\)	\(\left\{ {\left( {{s_{3}},1} \right) } \right\}\)	\(\left\{ {\left( {{s_{2}},1} \right) } \right\}\)	\(\left\{ {\left( {{s_{1.97}},1/6} \right) ,} \right.\)	\(\left\{ {\left( {{s_{2.96}},1/6} \right) ,} \right.\)	\(\left\{ {\left( {{s_{1.81}},1/6} \right) ,} \right.\)	\(\left\{ {\left( {{s_{5.47}},1/6} \right) ,} \right.\)
					\(\left( {{s_{1.97}},1/6} \right) ,\)	\(\left( {{s_{2.96}},1/6} \right) ,\)	\(\left( {{s_{1.81}},1/6} \right) ,\)	\(\left( {{s_{5.47}},1/6} \right) ,\)
					\(\left( {{s_{1.66}},1/6} \right) ,\)	\(\left( {{s_{2.72}},1/6} \right) ,\)	\(\left( {{s_{1.54}},1/6} \right) ,\)	\(\left( {{s_{5.18}},1/6} \right) ,\)
					\(\left( {{s_{1.54}},1/6} \right) ,\)	\(\left( {{s_{2.38}},1/6} \right) ,\)	\(\left( {{s_{1.33}},1/6} \right) ,\)	\(\left( {{s_{4.44}},1/6} \right) ,\)
					\(\left( {{s_{1.14}},1/6} \right) ,\)	\(\left( {{s_{2.06}},1/6} \right) ,\)	\(\left( {{s_{1}},1/6} \right) ,\)	\(\left( {{s_{4.14}},1/6} \right) ,\)
					\(\left. {\left( {{s_{1.14}},1/6} \right) } \right\}\)	\(\left. {\left( {{s_{2.06}},1/6} \right) } \right\}\)	\(\left. {\left( {{s_{1}},1/6} \right) } \right\}\)	\(\left. {\left( {{s_{4.12}},1/6} \right) } \right\}\)
\({e_2}\)	\(\left\{ {\left( {{s_{4}},1} \right) } \right\}\)	\(\left\{ {\left( {{s_{3}},1} \right) } \right\}\)	\(\left\{ {\left( {{s_{3}},1} \right) } \right\}\)	\(\left\{ {\left( {{s_{5}},1} \right) } \right\}\)	\(\left\{ {\left( {{s_{5.5}},1/6} \right) ,} \right.\)	\(\left\{ {\left( {{s_{2.34}},1/6} \right) ,} \right.\)	\(\left\{ {\left( {{s_{3.18}},1/6} \right) ,} \right.\)	\(\left\{ {\left( {{s_{5.91}},1/6} \right) ,} \right.\)
					\(\left( {{s_{5.5}},1/6} \right) ,\)	\(\left( {{s_{2.34}},1/6} \right) ,\)	\(\left( {{s_{3.18}},1/6} \right) ,\)	\(\left( {{s_{5.91}},1/6} \right) ,\)
					\(\left( {{s_{5.33}},1/6} \right) ,\)	\(\left( {{s_{2.34}},1/6} \right) ,\)	\(\left( {{s_{2.67}},1/6} \right) ,\)	\(\left( {{s_{5.91}},1/6} \right) ,\)
					\(\left( {{s_{4.91}},1/6} \right) ,\)	\(\left( {{s_{1.72}},1/6} \right) ,\)	\(\left( {{s_{2.67}},1/6} \right) ,\)	\(\left( {{s_{5.45}},1/6} \right) ,\)
					\(\left( {{s_{4.72}},1/6} \right) ,\)	\(\left( {{s_{1.72}},1/6} \right) ,\)	\(\left( {{s_{1.98}},1/6} \right) ,\)	\(\left( {{s_{5.45}},1/6} \right) ,\)
					\(\left. {\left( {{s_{4.72}},1/6} \right) } \right\}\)	\(\left. {\left( {{s_{1.72}},1/6} \right) } \right\}\)	\(\left. {\left( {{s_{1.98}},1/6} \right) } \right\}\)	\(\left. {\left( {{s_{5.45}},1/6} \right) } \right\}\)
\({e_3}\)	\(\left\{ {\left( {{s_{2}},1} \right) } \right\}\)	\(\left\{ {\left( {{s_{3}},1} \right) } \right\}\)	\(\left\{ {\left( {{s_{2}},1} \right) } \right\}\)	\(\left\{ {\left( {{s_{3.18}},1} \right) } \right\}\)	\(\left\{ {\left( {{s_{2.34}},1/6} \right) ,} \right.\)	\(\left\{ {\left( {{s_{2.28}},1/6} \right) ,} \right.\)	\(\left\{ {\left( {{s_{4.5}},1/6} \right) ,} \right.\)	\(\left\{ {\left( {{s_{3.19}},1/6} \right) ,} \right.\)
					\(\left( {{s_{2.34}},1/6} \right) ,\)	\(\left( {{s_{2.28}},1/6} \right) ,\)	\(\left( {{s_{4.5}},1/6} \right) ,\)	\(\left( {{s_{3.19}},1/6} \right) ,\)
					\(\left( {{s_{2.17}},1/6} \right) ,\)	\(\left( {{s_{1.77}},1/6} \right) ,\)	\(\left( {{s_{3.91}},1/6} \right) ,\)	\(\left( {{s_{2.5}},1/6} \right) ,\)
					\(\left( {{s_{1.76}},1/6} \right) ,\)	\(\left( {{s_{1.55}},1/6} \right) ,\)	\(\left( {{s_{3.91}},1/6} \right) ,\)	\(\left( {{s_{2.35}},1/6} \right) ,\)
					\(\left( {{s_{1.55}},1/6} \right) ,\)	\(\left( {{s_{1}},1/6} \right) ,\)	\(\left( {{s_{3.24}},1/6} \right) ,\)	\(\left( {{s_{1.55}},1/6} \right) ,\)
					\(\left. {\left( {{s_{1.55}},1/6} \right) } \right\}\)	\(\left. {\left( {{s_{1}},1/6} \right) } \right\}\)	\(\left. {\left( {{s_{3.24}},1/6} \right) } \right\}\)	\(\left. {\left( {{s_{1.55}},1/6} \right) } \right\}\)
\({e_4}\)	\(\left\{ {\left( {{s_{2}},1} \right) } \right\}\)	\(\left\{ {\left( {{s_{2.19}},1} \right) } \right\}\)	\(\left\{ {\left( {{s_{3}},1} \right) } \right\}\)	\(\left\{ {\left( {{s_{1}},1} \right) } \right\}\)	\(\left\{ {\left( {{s_{2.15}},1/6} \right) ,} \right.\)	\(\left\{ {\left( {{s_{3.09}},1/6} \right) ,} \right.\)	\(\left\{ {\left( {{s_{3.05}},1/6} \right) ,} \right.\)	\(\left\{ {\left( {{s_{5.98}},1/6} \right) ,} \right.\)
					\(\left( {{s_{2.15}},1/6} \right) ,\)	\(\left( {{s_{3.09}},1/6} \right) ,\)	\(\left( {{s_{3.05}},1/6} \right) ,\)	\(\left( {{s_{5.98}},1/6} \right) ,\)
					\(\left( {{s_{2}},1/6} \right) ,\)	\(\left( {{s_{2.97}},1/6} \right) ,\)	\(\left( {{s_{2.45}},1/6} \right) ,\)	\(\left( {{s_{5.17}},1/6} \right) ,\)
					\(\left( {{s_{1.3}},1/6} \right) ,\)	\(\left( {{s_{2.82}},1/6} \right) ,\)	\(\left( {{s_{2.45}},1/6} \right) ,\)	\(\left( {{s_{5.17}},1/6} \right) ,\)
					\(\left( {{s_{1.15}},1/6} \right) ,\)	\(\left( {{s_{2.67}},1/6} \right) ,\)	\(\left( {{s_{1.71}},1/6} \right) ,\)	\(\left( {{s_{4.34}},1/6} \right) ,\)
					\(\left. {\left( {{s_{1.15}},1/6} \right) } \right\}\)	\(\left. {\left( {{s_{2.67}},1/6} \right) } \right\}\)	\(\left. {\left( {{s_{1.71}},1/6} \right) } \right\}\)	\(\left. {\left( {{s_{4.34}},1/6} \right) } \right\}\)
\({e_5}\)	\(\left\{ {\left( {{s_{5}},1} \right) } \right\}\)	\(\left\{ {\left( {{s_{4}},1} \right) } \right\}\)	\(\left\{ {\left( {{s_{4}},1} \right) } \right\}\)	\(\left\{ {\left( {{s_{5}},1} \right) } \right\}\)	\(\left\{ {\left( {{s_{4.68}},1/6} \right) ,} \right.\)	\(\left\{ {\left( {{s_{2}},1/6} \right) ,} \right.\)	\(\left\{ {\left( {{s_{5.41}},1/6} \right) ,} \right.\)	\(\left\{ {\left( {{s_{1.97}},1/6} \right) ,} \right.\)
					\(\left( {{s_{4.68}},1/6} \right) ,\)	\(\left( {{s_{2}},1/6} \right) ,\)	\(\left( {{s_{5.41}},1/6} \right) ,\)	\(\left( {{s_{1.97}},1/6} \right) ,\)
					\(\left( {{s_{4.55}},1/6} \right) ,\)	\(\left( {{s_{1.68}},1/6} \right) ,\)	\(\left( {{s_{5}},1/6} \right) ,\)	\(\left( {{s_{1.68}},1/6} \right) ,\)
					\(\left( {{s_{3.59}},1/6} \right) ,\)	\(\left( {{s_{1.68}},1/6} \right) ,\)	\(\left( {{s_{4.59}},1/6} \right) ,\)	\(\left( {{s_{1.68}},1/6} \right) ,\)
					\(\left( {{s_{3.48}},1/6} \right) ,\)	\(\left( {{s_{1.25}},1/6} \right) ,\)	\(\left( {{s_{4.17}},1/6} \right) ,\)	\(\left( {{s_{1.27}},1/6} \right) ,\)
					\(\left. {\left( {{s_{3.48}},1/6} \right) } \right\}\)	\(\left. {\left( {{s_{1.25}},1/6} \right) } \right\}\)	\(\left. {\left( {{s_{4.17}},1/6} \right) } \right\}\)	\(\left. {\left( {{s_{1.27}},1/6} \right) } \right\}\)

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