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Journal of Applied Mathematics
/
2012
/
Article
/
Tab 8
/
Research Article
Two Weighted Fuzzy Goal Programming Methods to Solve Multiobjective Goal Programming Problem
Table 8
Solution and comparison.
Weight (
π€
)
Proposed FGP 1 with
π
β
π
Proposed FGP 2 with
π
β
π
Zimmermannβs method
1
/
8
,
1
/
3
π
=
1
,
π
1
(
π₯
)
=
9
,
π
2
(
π₯
)
=
3
π
=
1
,
π
1
(
π₯
)
=
9
.
5
,
π
2
(
π₯
)
=
4
π
>
1
1, 1
π
=
1
,
π
1
(
π₯
)
=
9
,
π
2
(
π₯
)
=
4
π
=
1
,
π
1
(
π₯
)
=
9
,
π
2
(
π₯
)
=
4
π
=
1
,
π
1
(
π₯
)
=
9
.
5
,
π
2
(
π₯
)
=
4
<1
π
=
1
,
π
1
(
π₯
)
=
9
,
π
2
(
π₯
)
=
3
π
=
1
,
π
1
(
π₯
)
=
9
.
5
,
π
2
(
π₯
)
=
4
π
> 1
.
9
,
.
1
π
=
1
,
π
1
(
π₯
)
=
8
,
π
2
(
π₯
)
=
3
π
=
1
,
π
1
(
π₯
)
=
9
.
5
,
π
2
(
π₯
)
=
4
π
>
1
.
8
,
.
2
π
=
1
,
π
1
(
π₯
)
=
7
,
π
2
(
π₯
)
=
3
π
=
1
,
π
1
(
π₯
)
=
9
.
5
,
π
2
(
π₯
)
=
4
π
>
1
.
7
,
.
3
π
=
1
,
π
1
(
π₯
)
=
6
,
π
2
(
π₯
)
=
3
π
=
1
,
π
1
(
π₯
)
=
9
.
5
,
π
2
(
π₯
)
=
4
π
>
1
.
6
,
.
4
π
=
1
,
π
1
(
π₯
)
=
9
,
π
2
(
π₯
)
=
3
π
=
1
,
π
1
(
π₯
)
=
9
.
5
,
π
2
(
π₯
)
=
4
π
>
1
.
5
,
.
5
π
=
1
,
π
1
(
π₯
)
=
9
,
π
2
(
π₯
)
=
3
π
=
1
,
π
1
(
π₯
)
=
9
.
5
,
π
2
(
π₯
)
=
4
π
>
1
Model class
LP
LP
LP