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Journal of Applied Mathematics
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Journal of Applied Mathematics
/
2012
/
Article
/
Tab 12
/
Research Article
Two Weighted Fuzzy Goal Programming Methods to Solve Multiobjective Goal Programming Problem
Table 12
Solution of the FLGP problem by varying the resource of the first constraint.
𝑏
1
Weight (
𝑤
)
Proposed method 1
Proposed method 2
𝑏
1
=
8
1
,
1
No feasible solution
No feasible solution
𝑤
<
1
No feasible solution
No feasible solution
𝑏
1
=
9
1
,
1
𝑍
1
=
6
,
𝑍
2
=
3
,
𝜆
=
.
6
6
𝑍
1
=
6
,
𝑍
2
=
3
,
𝜆
=
.
6
6
𝑤
<
1
𝑍
1
=
9
,
𝑍
2
=
3
,
𝜆
=
1
𝑍
1
=
9
,
𝑍
2
=
3
,
𝜆
=
.
3
3
𝑏
1
=
1
0
1
,
1
𝑍
1
=
9
,
𝑍
2
=
4
,
𝜆
=
1
𝑍
1
=
9
,
𝑍
2
=
4
,
𝜆
=
1
𝑤
<
1
𝑍
1
=
9
,
𝑍
2
=
3
,
𝜆
=
1
𝑍
1
=
9
.
5
,
𝑍
2
=
4
,
𝜆
=
1
𝑏
1
=
1
1
1
,
1
𝑍
1
=
9
,
𝑍
2
=
4
,
𝜆
=
1
𝑍
1
=
9
,
𝑍
2
=
4
,
𝜆
=
1
𝑤
<
1
𝑍
1
=
9
,
𝑍
2
=
3
,
𝜆
=
1
𝑍
1
=
1
0
.
5
,
𝑍
2
=
4
,
𝜆
=
1