Mathematical Problems in Engineering

Research Article

Value- and Ambiguity-Based Approach for Solving Intuitionistic Fuzzy Transportation Problem with Total Quantity Discounts and Incremental Quantity Discounts

Table 3

Cost and price break of the TP.

, k = 1, 2, 3
<(−0.5, 0, 1, 2), 0.5, (−1, 0, 1, 3) 0.3> <(16.18, 20, 22), 0.6 (15, 18, 20, 23), 0.3> : <(5, 6, 7, 9), 0.6 (4, 6, 7, 10) 0.3>
<(16, 18, 20, 22), 0.6 (15, 18, 20, 23), 0.3 <(44, 45, 46, 47), 0.6 (43.45, 46, 48), 0.2> : <(4, 5, 6, 7), 0.7 (3, 5, 6, 8, 8) 0.3>
<(16, 18, 20, 22), 0.8 (15, 18, 22, 23), 0.8> <(), 0.6 (), 0.3> : <(3, 4, 5, 8), 0.8 (2, 4, 5, 10) 0.3>

, k = 1, 2, 3
<(−0.5, 0, 1, 2), 0.5, (−1, 0, 1, 3) 0.3> <<(7, 8, 9, 11), 0.6 (6, 8, 9, 12), 0.3> : <(6, 7, 8, 10), 0.6 (5, 7, 8, 13) 0.3>
<(7, 8, 9, 11), 0.6 (6, 8, 9, 12), 0.3> <(16, 18, 20, 22), 0.6 (15, 18, 20, 23), 0.3> : <(5, 6, 7, 9), 0.6 (4, 6, 7, 10) 0.3>
<(16, 18, 20, 22), 0.6 (15, 18, 20, 23), 0.3> <<(), 0.6 (), 0.3> : <(4, 5, 6, 7), 0.7 (3, 5, 6, 8, 8) 0.3>

_,k = 1, 2, 3
<(−0.5, 0, 1, 2), 0.5, (−1, 0, 1, 3) 0.3> <<(4, 5, 6, 7), 0.7 (3, 5, 6, 8, 8) 0.3> : <(6, 7, 8, 10), 0.6 (5, 7, 8, 13) 0.3>
<(4, 5, 6, 7), 0.7 (3, 5, 6, 8, 8) 0.3> <<(16.18, 20, 22), 0.6 (15, 18, 20, 23), 0.3> : <(6, 7, 8, 10), 0.6 (5, 7, 8, 13) 0.3>
<(16.18, 20, 22), 0.6 (15, 18, 20, 23), 0.3> <<(), 0.6 (), 0.3> : <(5, 6, 7, 9), 0.6 (4, 6, 7, 10) 0.3>

, k = 1, 2, 3
<(−0.5, 0, 1, 2), 0.5, (−1, 0, 1, 3) 0.3> <<(44, 45, 46, 47), 0.6 (43.45, 46, 48), 0.2> : <(16.18, 20, 22), 0.6 (15, 18, 20, 23), 0.3>
<(44, 45, 46, 47), 0.6 (43.45, 46, 48), 0.2> <<(64, 65, 66, 68), 0.6 (63, 65, 66, 69), 0.3> : <(6, 7, 8, 10), 0.6 (5, 7, 8, 13) 0.3>
<(64, 65, 66, 68), 0.6 (63, 65, 66, 69), 0.3> <<(), 0.6 (), 0.3> : <(4, 5, 6, 7), 0.7 (3, 5, 6, 8, 8) 0.3>

, k = 1, 2, 3
<(−0.5, 0, 1, 2), 0.5, (−1, 0, 1, 3) 0.3> <<(16.18, 20, 22), 0.6 (15, 18, 20, 23), 0.3> : <(6, 7, 8, 10), 0.6 (5, 7, 8, 13) 0.3>
<(16.18, 20, 22), 0.6 (15, 18, 20, 23), 0.3> <<(64, 65, 66, 68), 0.6 (63, 65, 66, 69), 0.3> : <(5, 6, 7, 9), 0.6 (4, 6, 7, 10) 0.3>
<(64, 65, 66, 68), 0.6 (63, 65, 66, 69), 0.3> <<(), 0.6 (), 0.3> : <(5, 6, 7, 9), 0.6 (4, 6, 7, 10) 0.3>

, k = 1, 2, 3
<(−0.5, 0, 1, 2), 0.5, (−1, 0, 1, 3) 0.3>−−<<(6, 7, 8, 10), 0.6 (5, 7, 8, 13) 0.3> : <(6, 7, 8, 10), 0.6 (5, 7, 8, 13) 0.3>
<(6, 7, 8, 10), 0.6 (5, 7, 8, 13) 0.3> <<(16.18, 20, 22), 0.6 (15, 18, 20, 23), 0.3> : <(4, 5, 6, 7), 0.7 (3, 5, 6, 8, 8) 0.3>
<(16.18, 20, 22), 0.6 (15, 18, 20, 23), 0.3> <<(), 0.6 (), 0.3> : <(3, 4, 5, 8), 0.8 (2, 4, 5, 10) 0.3>

, k = 1, 2, 3
<(−0.5, 0, 1, 2), 0.5, (−1, 0, 1, 3) 0.3> <<(6, 7, 8, 10), 0.6 (5, 7, 8, 13) 0.3> : <(44, 45, 46, 47), 0.6 (43.45, 46, 48), 0.2>
<(6, 7, 8, 10), 0.6 (5, 7, 8, 13) 0.3> <<(16.18, 20, 22), 0.6 (15, 18, 20, 23), 0.3> : <(16.18, 20, 22), 0.6 (15, 18, 20, 23), 0.3>
<(16.18, 20, 22), 0.6 (15, 18, 20, 23), 0.3> <<(), 0.6 (), 0.3><(4, 5, 6, 7), 0.7 (3, 5, 6, 8, 8) 0.3>

, k = 1, 2, 3
<(−0.5, 0, 1, 2), 0.5, (−1, 0, 1, 3) 0.3>−−<<(3, 4, 5, 8), 0.8 (2, 4, 5, 10) 0.3> : <(6, 7, 8, 10), 0.6 (5, 7, 8, 13) 0.3>
<(3, 4, 5, 8), 0.8 (2, 4, 5, 10) 0.3> <<(16.18, 20, 22), 0.6 (15, 18, 20, 23), 0.3> : <(5, 6, 7, 9), 0.6 (4, 6, 7, 10) 0.3>
<(16.18, 20, 22), 0.6 (15, 18, 20, 23), 0.3> <(), 0.6 (), 0.3> : <(3, 4, 5, 8), 0.8 (2, 4, 5, 10) 0.3>

, k = 1, 2, 3
<(−0.5, 0, 1, 2), 0.5, (−1, 0, 1, 3) 0.3> <<(4, 5, 6, 7), 0.7 (3, 5, 6, 8, 8) 0.3> : <(6, 7, 8, 10), 0.6 (5, 7, 8, 13) 0.3>
<(4, 5, 6, 7), 0.7 (3, 5, 6, 8, 8) 0.3> <<(44, 45, 46, 47), 0.6 (43.45, 46, 48), 0.2> : <(4, 5, 6, 7), 0.7 (3, 5, 6, 8, 8) 0.3>
<(44, 45, 46, 47), 0.6 (43.45, 46, 48), 0.2> <(), 0.6 (), 0.3> : <(3, 4, 5, 8), 0.8 (2, 4, 5, 10) 0.3>