Multiattribute decision-making: use of scoring methods to compare the performance of laying hen fed with different levels of yeast

Figures & data

Tablel Production criteria of laying hens fed diet supplemented with different levels of Saccharomyces cerevisiae (g kg^-1 diet) at 25–78 weeks of age.

Criteria	Positive or negative	0 (A)	0.25 (B)	0.5 (C)	0.75 (D)	1 (E)
Feed intake, g/day	N	98.504	99.128	98.200	99.745	98.505
Egg production, %	P	81.053	80.428	81.584	83.479	83.118
Average egg weight, g	P	58.027	58.819	58.752	58.567	58.883
Egg mass, g	P	47.030	47.387	47.937	48.894	48.812
Feed conversion	N	2.095	2.094	2.010	2.010	2.000
Feed cost per kg egg, Rial	N	4457.0	4497.7	4436.1	4445.2	4439.4
Egg shell thickness	P	0.295	0.296	0.292	0.293	0.291
Specific gravity	P	1.087	1.086	1.090	1.086	1.0859
Egg shell stretch	P	2.030	2.108	2.058	2.174	2.054
Haugh unit	P	94.43	91.22	90.767	90.145	94.322

N, negative response: low level of response is of merit for decision maker; P, positive response: high level of response is of merit for decision maker; Rial, Iranian currency. Yeast supplementation: (A) 0 g/kg^-1diet; (B) 0.25 g/kg^-1diet; (C) 0.5 g/kg^-1diet; (D) 0.75 g/kg^-1diet; (E) 1 g/kg^-1diet.

Table 2 Decision matrix based on fuzzy set membership values for the production criteria in Table 1.

Criteria	0 (A)	0.25 (B)	0.5 (C)	0.75 (D)	1 (E)
Feed intake, g/day	0.803	0.399	1.000	0.000	0.803
Egg production, %	0.205	0.000	0.379	1.000	0.882
Average egg weight, g	0.000	1.000	0.813	0.605	0.960
Egg mass, g	0.000	0.192	0.487	1.000	0.956
Feed conversion	0.000	0.011	0.895	0.895	1.000
Feed cost per kg egg, Rial	0.661	0.000	1.000	0.852	0.946
Egg shell thickness	0.778	1.000	0.156	0.389	0.000
Specific gravity	0.271	0.047	1.000	0.024	0.000
Egg shell stretch	0.000	0.543	0.194	1.000	0.166
Haugh unit	1.000	0.251	0.145	0.000	0.975
Decision
Maximin	0.000	0.000	0.145	0.000	0.000
Equally likely	0.372	0.344	0.607	0.576	0.669

Yeast supplementation, (A) 0 g/kg^-1diet; (B) 0.25 g/kg^-1diet; (C) 0.5 g/kg^-1 diet; (D) 0.75 g/kg^-1diet; (E) 1 g/kg^-1diet. Rial, Iranian currency.

Table 3 Normalized weights for selecting commercial broiler strain.

Criteria	Weight of importance	Normalized weight
Feed intake, g/day	6	6/55=0.109
Egg production, %	9	9/55=0.164
Average egg weight, g	7	7/55=0.127
Egg mass, g	10	10/55=0.182
Feed conversion	8	8/55=0.145
Feed cost per kg egg, Rial	5	5/55=0.091
Egg shell thickness	2	2/55=0.036
Specific gravity	4	4/55=0.073
Egg shell stretch	3	3/55=0.055
Haugh unit	1	1/55=0.018
Total	55	1.000

Rial, Iranian currency.

Table 4 Weighted average of fuzzy set membership values for the production criteria of laying hens.

Criteria	Rank	Weight	0 (A)	0.25 (B)	0.5 (C)	0.75 (D)	1 (E)
Feed intake, g/day	6	0.109	0.087	0.044	0.109	0.000	0.088
Egg production, %	9	0.164	0.034	0.000	0.062	0.164	0.144
Average egg weight, g	7	0.127	0.000	0.127	0.103	0.077	0122
Egg mass, g	10	0.182	0.000	0.035	0.089	0.182	0.174
Feed conversion	8	0.145	0.000	0.002	0.130	0.130	0.145
Feed cost per kg egg, Rial	5	0.091	0.060	0.000	0.091	0.077	0.086
Egg shell thickness	2	0.036	0.028	0.036	0.006	0.014	0.000
Specific gravity	4	0.073	0.020	0.003	0.073	0.002	0.000
Egg shell stretch	3	0.055	0.000	0.030	0.011	0.055	0.009
Haugh unit	1	0.018	0.018	0.005	0.003	0.000	0.018
Decision	55		0.247	0.281	0.676	0.701	0.786

Yeast supplementation, (A) 0 g/kg^-1 diet; (B) 0.25 g/kg^-1diet; (C) 0.5 g/kg^-1diet; (D) 0.75 g/kg^-1diet; (E) 1 g/kg^-1diet. Rial, Iranian currency.

Table 5 Ordered weighted averages of fuzzy set membership values for the production criteria of laying hens.

Weight	0 (A)	0.25 (B)	0.5 (C)	0.75 (D)	1 (E)
0.185	0.185	0.185	0.185	0.185	0.185
0.167	0.1338	0.1667	0.1667	0.1667	0.1625
0.148	0.1152	0.0805	0.1481	0.1481	0.1422
0.111	0.0734	0.0444	0.0994	0.0994	0.1051
0.111	0.3010	0.0279	0.0903	0.0947	0.1051
0.093	0.0189	0.0177	0.0451	0.0560	0.0816
0.074	0	0.0035	0.0281	0.0288	0.0594
0.056	0	0.0060	0.0108	0.0013	0.0092
0.037	0	0	0.0058	0	0
0.018	0	0	0.0027	0	0
Decision	0.557	0.526	0.779	0.780	0.851

Yeast supplementation, (A) 0 g/kg^-1diet; (B) 0.25 g/kg^-1diet; (C) 0.5 g/kg^-1diet; (D) 0.75 g/kg^-1diet; (E) 1 g/kg^-1 diet.

Table 6 Decision matrix based on fuzzy set membership values for the production criteria in Table 1 according to technique for order preference by similarity to ideal solution method.

Criteria	0 (A)	0.25 (B)	0.5 (C)	0.75 (D)	1 (E)
Feed intake, g/day	0.498	0.501	0.496	0.504	0.498
Egg production, %	0.496	0.492	0.499	0.511	0.509
Average egg weight, g	0.495	0.503	0.501	0.500	0.503
Egg mass, g	0.492	0.495	0.501	0.511	0.510
Feed conversion	0.501	0.501	0.489	0.489	0.487
Feed cost per kg egg, Rial	0.4997	0.5043	0.4974	0.4984	0.4987
Egg shell thickness	0.5015	0.5032	0.4967	0.4985	0.4955
Specific gravity	0.4998	0.4990	0.5013	0.4993	0.4993
Egg shell stretch	0.4848	0.5032	0.4967	0.4985	0.4955
Haugh unit	0.5151	0.4976	0.4952	0.4918	0.5145

Yeast supplementation, (A) 0 g/kg^-1diet; (B) 0.25 g/kg^-1diet; (C) 0.5 g/kg^-1diet; (D) 0.75 g/kg^-1diet; (E) 1 g/kg^-1diet. Rial, Iranian currency.

Table 7 Technique for order preference by similarity to ideal solution results of fuzzy set membership values for the production criteria of laying hens.

Criteria	Weight
Feed intake, g/day	0.01556
Egg production, %	0.10268
Average egg weight, g	0.01532
Egg mass, g	0.11952
Feed conversion	0.22120
Feed cost per kg egg, Rial	0.01258
Egg shell thickness	0.00110
Specific gravity	0.01630
Egg shell stretch	0.30100
Haugh unit	0.19460
Decision
0	0.28099
0.25	0.42352
0.5	0.35760
0.75	0.72073
1	0.62323

Rial, Iranian currency.