Research Article

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

Table 11

Comparison.

Weight ( 𝑤 )Chang [26]Proposed method 1Proposed method 2

1 / 8 , 1 / 3 𝑏 1 = 1 0 , 𝑍 1 = 9 , 𝑍 2 = 3 𝑏 1 = 1 0 , 𝑍 1 = 9 . 5 , 𝑍 2 = 4
𝑏 1 = 1 1 , 𝑍 1 = 9 , 𝑍 2 = 3 𝑏 1 = 1 1 , 𝑍 1 = 1 0 . 5 , 𝑍 2 = 4
1, 1 𝑏 1 = 1 0 , 𝑍 1 = 8 , 𝑍 2 = 0 𝑏 1 = 1 0 , 𝑍 1 = 9 , 𝑍 2 = 4 𝑏 1 = 1 0 , 𝑍 1 = 9 , 𝑍 2 = 4
𝑏 1 = 1 1 , 𝑍 1 = 9 , 𝑍 2 = 4 𝑏 1 = 1 1 , 𝑍 1 = 9 , 𝑍 2 = 4 𝑏 1 = 1 1 , 𝑍 1 = 9 , 𝑍 2 = 4
w < 1 𝑏 1 = 1 0 , 𝑍 1 = 9 , 𝑍 2 = 3 𝑏 1 = 1 0 , 𝑍 1 = 9 . 5 , 𝑍 2 = 4
𝑏 1 = 1 1 , 𝑍 1 = 9 , 𝑍 2 = 3 𝑏 1 = 1 1 , 𝑍 1 = 1 0 . 5 , 𝑍 2 = 4
. 6 , . 4 𝑏 1 = 1 0 , 𝑍 1 = 9 , 𝑍 2 = 3 𝑏 1 = 1 0 , 𝑍 1 = 9 . 5 , 𝑍 2 = 4
𝑏 1 = 1 1 , 𝑍 1 = 9 , 𝑍 2 = 3 𝑏 1 = 1 1 , 𝑍 1 = 1 0 . 5 , 𝑍 2 = 4

Model classLPLPLP

μ = 1λ = 1λ = 1