Hesitant Triangular Fuzzy Information Aggregation Operators Based on Bonferroni Means and Their Application to Multiple Attribute Decision Making

Table 4

Scores for theses obtained by new operators based on BM or GBM.

New operators	𝑠(ℎ1)	𝑠(ℎ2)	𝑠(ℎ3)	𝑠(ℎ4)	𝑠(ℎ5)	Ranking
HTFGBM^1,1	(0.331, 0.436, 0.603)	(0.440, 0.569, 0.711)	(0.269, 0.450, 0.605)	(0.365, 0.545, 0.682)	(0.409, 0.563, 0.742)	𝐴2≻𝐴5≻𝐴4≻𝐴1≻𝐴3
HTFBM^1,1	(0.320, 0.426, 0.598)	(0.427, 0.563, 0.705)	(0.256, 0.444, 0.597)	(0.339, 0.525, 0.674)	(0.404, 0.561, 0.739)	𝐴2≻𝐴5≻𝐴4≻𝐴1≻𝐴3
HTFWGBM^1,1	(0.745, 0.800, 0.875)	(0.824, 0.876, 0.928)	(0.737, 0.832, 0.889)	(0.750, 0.839, 0.890)	(0.801, 0.866, 0.928)	𝐴2≻𝐴5≻𝐴4≻𝐴3≻𝐴1
HTFWBM^1,1	(0.083, 0.118, 0.189)	(0.130, 0.182, 0.260)	(0.072, 0.133, 0.198)	(0.087, 0.153, 0.226)	(0.114, 0.173, 0.274)	𝐴2≻𝐴5≻𝐴4≻𝐴3≻𝐴1
HTFOWGBM^1,1	(0.773, 0.825, 0.887)	(0.828, 0.881, 0.929)	(0.737, 0.832, 0.889)	(0.789, 0.867, 0.916)	(0.811, 0.873, 0.934)	𝐴2≻𝐴5≻𝐴4≻𝐴1≻𝐴3
HTFOWBM^1,1	(0.091, 0.128, 0.195)	(0.130, 0.185, 0.265)	(0.072, 0.133, 0.198)	(0.104, 0.173, 0.250)	(0.118, 0.176, 0.278)	𝐴2≻𝐴5≻𝐴4≻𝐴3≻𝐴1
HTHGBM^1,1	(0.779, 0.828, 0.890)	(0.837, 0.883, 0.937)	(0.759, 0.847, 0.905)	(0.797, 0.871, 0.916)	(0.829, 0.888, 0.940)	𝐴5≻𝐴2≻𝐴4≻𝐴3≻𝐴1
HTHBM^1,1	(0.078, 0.112, 0.178)	(0.128, 0.177, 0.252)	(0.077, 0.136, 0.199)	(0.085, 0.149, 0.218)	(0.112, 0.165, 0.262)	𝐴2≻𝐴5≻𝐴4≻𝐴3≻𝐴1