Table 6: Similarities between FPIS and weighted normalized fuzzy decision matrix.

𝐶 1 𝐶 2 𝐶 3 𝐶 4 𝐶 5 Average

𝑆 ( 𝐴 1 , 𝐴 i d 1 ) 0.54 0.56 0.61 0.67 0.67 0.61
𝑆 ( 𝐴 2 , 𝐴 i d 1 ) 0.69 0.73 0.68 0.69 0.74 0.70
𝑆 ( 𝐴 3 , 𝐴 i d 1 ) 0.69 0.66 0.64 0.74 0.68 0.68
𝑆 ( 𝐴 4 , 𝐴 i d 1 ) 0.67 0.56 0.51 0.67 0.68 0.62
𝑆 ( 𝐴 5 , 𝐴 i d 1 ) 0.54 0.56 0.48 0.57 0.54 0.54

𝑆 ( 𝐴 1 , 𝐴 i d 2 ) 0.46 0.56 0.61 0.58 0.58 0.56
𝑆 ( 𝐴 2 , 𝐴 i d 2 ) 0.58 0.73 0.68 0.61 0.65 0.65
𝑆 ( 𝐴 3 , 𝐴 i d 2 ) 0.61 0.66 0.64 0.65 0.59 0.63
𝑆 ( 𝐴 4 , 𝐴 i d 2 ) 0.58 0.56 0.51 0.58 0.59 0.56
𝑆 ( 𝐴 5 , 𝐴 i d 2 ) 0.46 0.56 0.48 0.48 0.46 0.49

𝑆 ( 𝐴 1 , 𝐴 i d 3 ) 0.81 0.79 0.86 0.88 0.88 0.84
𝑆 ( 𝐴 2 , 𝐴 i d 3 ) 0.9 1 1 0.95 1 0.97
𝑆 ( 𝐴 3 , 𝐴 i d 3 ) 1 0.93 0.95 1 0.93 0.96
𝑆 ( 𝐴 4 , 𝐴 i d 3 ) 0.90 0.8 0.79 0.88 0.93 0.86
𝑆 ( 𝐴 5 , 𝐴 i d 3 ) 0.81 0.8 0.76 0.80 0.78 0.79