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Table 7 Aggregate fuzzy decision matrix for alternatives
Criteria
Alternatives
Min
Max
A1
A2
A3
C1
(1, 5.667, 9)
(3, 7.667, 9)
(1, 5.667, 9)
1
9
C2
(1, 4.333,9)
(1, 2.333, 7)
(1, 5, 9)
1
9
C3
(1, 5, 9)
(3, 5.667, 9)
(1, 3, 9)
1
9
C4
(1, 7, 9)
(3, 5, 7)
(1, 5, 9)
1
9
C5
(1, 3.667)
(1, 5.667, 9)
(3, 5, 7)
1
9
C6
(3, 7.667, 9)
(1, 3.667, 7)
(1, 5, 9)
1
9
C7
(1, 5, 9)
(1, 3, 9)
(1, 5.667, 9)
1
9
C8
(3, 5.667, 9)
(1, 6.333, 9)
(1, 5, 9)
1
9
C9
(1, 5.667, 9)
(1, 6.333, 9)
(1, 4.333, 9)
1
9
C10
(1, 5, 9)
(1, 1, 3)
(1, 4.333, 9)
1
9
C11
(1, 5, 9)
(3, 7.667, 9)
(1, 7, 9)
1
9
C12
(1, 2.333)
(1, 2.333, 7)
(3, 6.333, 9)
1
9
C13
(1, 6.333, 9)
(1, 4.333, 9)
(1, 6.333, 9)
1
9
C14
(5, 7, 9)
(1, 4.333, 7)
(1, 3.667, 7)
1
9
C15
(1, 4.333, 9)
(1, 4.333, 9)
(1, 5, 9)
1
9
C16
(1, 3, 9)
(1, 3, 7)
(1, 3.667, 9)
1
9
C17
(1, 5, 9)
(3, 7.667, 9)
(5, 7.667, 9)
1
9
Table 8 Normalized fuzzy decision matrix for alternatives
Criteria
A1
A2
A3
C1
(0.111, 0.629, 1)
(0.333, 0.851, 1)
(0.111, 0.629, 1)
C2
(0.111, 0.481, 1)
(0.111, 0.259, 0.778)
(0.111, 0.556, 1)
C3
(0.111, 0.556, 1)
(0.333, 0.629, 1)
(0.111, 0.333, 1)
C4
(0.111, 0.778, 1)
(0.333, 0.556, 0.778)
(0.111, 0.556, 1)
C5
(0.111, 0.523, 0.778)
(0.111, 0.629, 1)
(0.333, 0.556, 0.778)
C6
(0.333, 0.851, 1)
(0.111, 0.407, 0.778)
(0.111, 0.556, 1)
C7
(0.111, 0.556, 1)
(0.111, 0.333, 1)
(0.111, 0.629, 1)
C8
(0.111, 0.176, 0.333)
(0.111, 0.157, 1)
(0.111, 0.2, 1)
C9
(0.111, 0.629, 1)
(0.111, 0.703, 1)
(0.111, 0.481, 1)
C10
(0.111, 0.556, 1)
(0.111, 0.111, 0.333)
(0.111, 0.481, 1)
C11
(0.111, 0.556, 1)
(0.333, 0.851, 1)
(0.111, 0.778, 1)
C12
(0.111, 0.259, 0.556)
(0.111, 0.259, 0.778)
(0.333, 0.703)
C13
(0.111, 0.703, 1)
(0.111, 0.481, 1)
(0.111, 0.703, 1)
C14
(0.556, 1, 1)
(0.111, 0.481, 0.778)
(0.111, 0.407, 0.778)
C15
(0.111, 0.481, 1)
(0.111, 0.481, 1)
(0.111, 0.556, 1)
C16
(0.111, 0.333, 1)
(0.111, 0.333, 0.778)
(0.111, 0.407, 1)
C17
(0.111, 0.556, 1)
(0.333, 0.851, 1)
(0.556, 0.851, 1)
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