Journal of Applied Mathematics

Research Article

Two Weighted Fuzzy Goal Programming Methods to Solve Multiobjective Goal Programming Problem

Table 8

Solution and comparison.
Weight ( 𝑀 )Proposed FGP 1 with 𝑑 βˆ’ π‘˜ Proposed FGP 2 with 𝑑 βˆ’ π‘˜ Zimmermann’s method
1 / 8 , 1 / 3 πœ† = 1 , 𝑍 1 ( π‘₯ ) = 9 , 𝑍 2 ( π‘₯ ) = 3 πœ† = 1 , 𝑍 1 ( π‘₯ ) = 9 . 5 , 𝑍 2 ( π‘₯ ) = 4 πœ† > 1
1, 1 πœ† = 1 , 𝑍 1 ( π‘₯ ) = 9 , 𝑍 2 ( π‘₯ ) = 4 πœ† = 1 , 𝑍 1 ( π‘₯ ) = 9 , 𝑍 2 ( π‘₯ ) = 4 πœ† = 1 , 𝑍 1 ( π‘₯ ) = 9 . 5 , 𝑍 2 ( π‘₯ ) = 4
<1 πœ† = 1 , 𝑍 1 ( π‘₯ ) = 9 , 𝑍 2 ( π‘₯ ) = 3 πœ† = 1 , 𝑍 1 ( π‘₯ ) = 9 . 5 , 𝑍 2 ( π‘₯ ) = 4 πœ† > 1
. 9 , . 1 πœ† = 1 , 𝑍 1 ( π‘₯ ) = 8 , 𝑍 2 ( π‘₯ ) = 3 πœ† = 1 , 𝑍 1 ( π‘₯ ) = 9 . 5 , 𝑍 2 ( π‘₯ ) = 4 πœ† > 1
. 8 , . 2 πœ† = 1 , 𝑍 1 ( π‘₯ ) = 7 , 𝑍 2 ( π‘₯ ) = 3 πœ† = 1 , 𝑍 1 ( π‘₯ ) = 9 . 5 , 𝑍 2 ( π‘₯ ) = 4 πœ† > 1
. 7 , . 3 πœ† = 1 , 𝑍 1 ( π‘₯ ) = 6 , 𝑍 2 ( π‘₯ ) = 3 πœ† = 1 , 𝑍 1 ( π‘₯ ) = 9 . 5 , 𝑍 2 ( π‘₯ ) = 4 πœ† > 1
. 6 , . 4 πœ† = 1 , 𝑍 1 ( π‘₯ ) = 9 , 𝑍 2 ( π‘₯ ) = 3 πœ† = 1 , 𝑍 1 ( π‘₯ ) = 9 . 5 , 𝑍 2 ( π‘₯ ) = 4 πœ† > 1
. 5 , . 5 πœ† = 1 , 𝑍 1 ( π‘₯ ) = 9 , 𝑍 2 ( π‘₯ ) = 3 πœ† = 1 , 𝑍 1 ( π‘₯ ) = 9 . 5 , 𝑍 2 ( π‘₯ ) = 4 πœ† > 1
Model classLPLPLP