Multicriteria Group Decision Making by Using Trapezoidal Valued Hesitant Fuzzy Sets

Table 1

Decision matrix (𝑋¹ ) with respect to decision makers 1, 2, and 3 (𝑒₁,𝑒₂,and𝑒₃).

𝐶1	𝐴1	{(0.45,0.5,0.55,0.6),(0.5,0.55,0.6,0.7), (0.65,0.7,0.75,0.8)}
	𝐴2	{(0.05,0.12,0.15,0.19),(0.2,0.24,0.29,0.31)}
	𝐴3	{(0.45,0.5,0.55,0.6),(0.5,0.55,0.6,0.7)}
	𝐴4	{(0.5,0.55,0.6,0.7),(0.7,0.8,0.85,0.9)}
	𝐴5	{(0.9,0.95,0.97,1)}
𝐶2	𝐴1	{(0.5,0.53,0.64,0.7),(0.65,0.72,0.74,0.8)}
	𝐴2	{(0.5,0.53,0.64,0.7),(0.65,0.72,0.74,0.8), (0.77,0.8,0.82,0.85)}
	𝐴3	{(0.5,0.53,0.64,0.7),(0.52,0.55,0.6,0.63)}
	𝐴4	{(0.05,0.1,0.15,0.2),(0.19,0.21,0.25,0.29)}
	𝐴5	{(0.05,0.1,0.15,0.2),(0.28,0.31,0.34,0.36)}
𝐶3	𝐴1	{(0.05,0.1,0.15,0.2),(0.21,0.24,0.29,0.32)}
	𝐴2	{(0.42,0.45,0.5,0.55),(0.54,0.57,0.6,0.63)}
	𝐴3	{(0.64,0.68,0.72,0.75),(0.83,0.88,0.9,0.93)}
	𝐴4	{(0.05,0.1,0.14,0.19),(0.26,0.3,0.34,0.37)}
	𝐴5	{(0,0.05,0.1,0.12),(0.14,0.18,0.2,0.23)}
𝐶4	𝐴1	{(0.05,0.1,0.15,0.2),(0.21,0.24,0.29,0.32)}
	𝐴2	{(0.44,0.48,0.5,0.53),(0.55,0.58,0.6,0.62)}
	𝐴3	{(0.05,0.09,0.1,0.14),(0.16,0.18,0.2,0.23)}
	𝐴4	{(0.44,0.48,0.5,0.53),(0.55,0.58,0.6,0.62), (0.65,0.68,0.7,0.72)}
	𝐴5	{(0.32,0.37,0.4,0.43),(0.65,0.68,0.7,0.72)}