A method to multi-attribute decision-making based on interval-valued q-rung dual hesitant linguistic Maclaurin symmetric mean operators

Feng, Xue; Shang, Xiaopu; Xu, Yuan; Wang, Jun

doi:10.1007/s40747-020-00141-8

Table 5 Normalized interval-valued dual hesitant fuzzy uncertain linguistic decision matrix of Example 2

From: A method to multi-attribute decision-making based on interval-valued q-rung dual hesitant linguistic Maclaurin symmetric mean operators

	A₁	A₂	A₃
C₁	\( \left\langle {\left[ {s_{2} ,s_{2} } \right],\left\{ {\left\{ {\left[ {0.1,0.2} \right],\left[ {0.2,0.3} \right]} \right\},\left\{ {\left[ {0.3,0.4} \right]} \right\}} \right\}} \right\rangle \)	\( \left\langle {\left[ {s_{3} ,s_{3} } \right],\left\{ {\left\{ {\left[ {0.7,0.8} \right]} \right\},\left\{ {\left[ {0.1,0.2} \right]} \right\}} \right\}} \right\rangle \)	\( \left\langle {\left[ {s_{4} ,s_{4} } \right],\left\{ {\left\{ {\left[ {0.4,0.5} \right]} \right\},\left\{ {\left[ {0.3,0.4} \right],\left[ {0.4,0.5} \right]} \right\}} \right\}} \right\rangle \)
C₂	\( \left\langle {\left[ {s_{1} ,s_{1} } \right],\left\{ {\left\{ {\left[ {0.6,0.7} \right]} \right\},\left\{ {\left[ {0.1,0.2} \right],\left[ {0.2,0.3} \right]} \right\}} \right\}} \right\rangle \)	\( \left\langle {\left[ {s_{4} ,s_{4} } \right],\left\{ {\left\{ {\left[ {0.2,0.3} \right]} \right\},\left\{ {\left[ {0.5,0.6} \right]} \right\}} \right\}} \right\rangle \)	\( \left\langle {\left[ {s_{1} ,s_{1} } \right],\left\{ {\left\{ {\left[ {0.7,0.8} \right]} \right\},\left\{ {\left[ {0.1,0.2} \right]} \right\}} \right\}} \right\rangle \)
C₃	\( \left\langle {\left[ {s_{4} ,s_{4} } \right],\left\{ {\left\{ {\left[ {0.3,0.4} \right],\left[ {0.4,0.5} \right]} \right\},\left\{ {\left[ {0.4,0.5} \right]} \right\}} \right\}} \right\rangle \)	\( \left\langle {\left[ {s_{1} ,s_{1} } \right],\left\{ {\left\{ {\left[ {0.6,0.8} \right]} \right\},\left\{ {\left[ {0.1,0.2} \right]} \right\}} \right\}} \right\rangle \)	\( \left\langle {\left[ {s_{3} ,s_{3} } \right],\left\{ {\left\{ {\left[ {0.2,0.5} \right]} \right\},\left\{ {\left[ {0.3,0.4} \right]} \right\}} \right\}} \right\rangle \)
C₄	\( \left\langle {\left[ {s_{1} ,s_{1} } \right],\left\{ {\left\{ {\left[ {0.4,0.7} \right]} \right\},\left\{ {\left[ {0.2,0.3} \right]} \right\}} \right\}} \right\rangle \)	\( \left\langle {\left[ {s_{4} ,s_{4} } \right],\left\{ {\left\{ {\left[ {0.3,0.5} \right]} \right\},\left\{ {\left[ {0.3,0.4} \right]} \right\}} \right\}} \right\rangle \)	\( \left\langle {\left[ {s_{2} ,s_{2} } \right],\left\{ {\left\{ {\left[ {0.3,0.4} \right]} \right\},\left\{ {\left[ {0.2,0.4} \right],\left[ {0.4,0.5} \right]} \right\}} \right\}} \right\rangle \)

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