Linguistic Representation and Membership Function
Variables
Range of Values
Very Low Gain
Low Gain
High Gain
Very High Gain
Positive
Very Low Gain ( V L G r ) 1 < V L G r ≤ 5.5
Low Gain ( L G r )
2.1 < L G r ≤ 7.9
High Gain ( H G r )
4.6 < H G r ≤ 10
Very High Gain( V H G r )
7.0 < V H G r ≤ 10
μ ( V L G r ) = { 0 , V L G r < 1 < 1 , 1 ≤ V L G r < 2.5 1 , V L G r = 2.5 < 1 , 2.5 < V L G r ≤ 5.5
μ ( L G r ) = { 0 , L G r < 2.1 < 1 , 2.1 < L G r < 5.0 1 , L G r = 5.0 < 1 , 5.0 < L G r ≤ 7.9
μ ( H G r ) = { 0 , H G r < 4.6 < 1 , 4.6 < H G r < 7.5 1 , H G r = 7.5 < 1 , 7.5 < H G r ≤ 10
μ ( V H G r ) = { 0 , V H G r < 7.0 < 1 , 7.0 < V H G r < 10 1 , V H G r = 10
Negative
Very Low Loss ( V L L l ) 1 < V L L l ≤ 5.5
Low Loss ( L L l )
2.1 < L L l ≤ 7.9
High Loss ( H L l )
4.6 < H L l ≤ 10
Very High Loss ( V H L l )
7.0 < V H L l ≤ 10
Very Low Loss
Low Loss
High Loss
Very High Loss
μ ( V L L l ) = { 0 , V L L l < 1 < 1 , 1 ≤ V L L l < 2.5 1 , V L L l = 2.5 < 1 , 2.5 < V L L l ≤ 5.5
μ ( L L l ) = { 0 , L L l < 2.1 < 1 , 2.1 < L L l < 5.0 1 , L L l = 5.0 < 1 , 5.0 < L L l ≤ 7.9
μ ( H L l ) = { 0 , H L l < 4.6 < 1 , 4.6 < H L l < 7.5 1 , H L l = 7.5 < 1 , 7.5 < H L l ≤ 10
μ ( V H L l ) = { 0 , V H L l < 7.0 < 1 , 7.0 < V H L l < 10 1 , V H L l = 10