Table 4 TOPSIS analysis of irrigation water applied, yield, water productivity, oil content in kernel, and economic benefit for different irrigation and N application rate treatments for peanut.

Treatments	X₁	X₂	X₃	X₄	X₅	D_i⁺	D_i⁻	C_i	Rank
FIN₀	0.034	0.010	0.040	0.028	0.051	0.084	0.035	0.296	19
FIN₁₀	0.042	0.030	0.042	0.035	0.051	0.062	0.059	0.488	12
FIN₂₀	0.056	0.065	0.044	0.047	0.051	0.030	0.098	0.766	6
FIN₃₀	0.063	0.078	0.044	0.052	0.051	0.024	0.113	0.827	4
DI₁₀N₀	0.034	0.013	0.040	0.030	0.047	0.079	0.039	0.330	17
DI₁₀N₁₀	0.044	0.037	0.042	0.039	0.047	0.053	0.066	0.555	10
DI₁₀N₂₀	0.056	0.066	0.044	0.050	0.047	0.025	0.100	0.802	5
DI₁₀N₃₀	0.059	0.073	0.044	0.053	0.047	0.020	0.108	0.843	2
DI₂₀N₀	0.032	0.013	0.039	0.032	0.042	0.078	0.040	0.338	16
DI₂₀N₁₀	0.042	0.037	0.042	0.042	0.042	0.051	0.067	0.568	9
DI₂₀N₂₀	0.055	0.065	0.044	0.055	0.042	0.021	0.100	0.827	3
DI₂₀N₃₀	0.059	0.073	0.045	0.059	0.042	0.015	0.110	0.880	1
DI₃₀N₀	0.029	0.009	0.038	0.032	0.038	0.082	0.037	0.308	18
DI₃₀N₁₀	0.038	0.031	0.041	0.043	0.038	0.056	0.062	0.523	11
DI₃₀N₂₀	0.043	0.043	0.042	0.048	0.038	0.043	0.076	0.640	8
DI₃₀N₃₀	0.044	0.045	0.041	0.049	0.038	0.040	0.078	0.659	7
DI₄₀N₀	0.022	-0.003	0.038	0.028	0.033	0.097	0.026	0.214	22
DI₄₀N₁₀	0.029	0.014	0.039	0.037	0.033	0.076	0.044	0.366	15
DI₄₀N₂₀	0.032	0.021	0.040	0.041	0.033	0.068	0.052	0.435	14
DI₄₀N₃₀	0.033	0.022	0.040	0.041	0.033	0.066	0.053	0.443	13
DI₅₀N₀	0.014	-0.019	0.037	0.020	0.029	0.116	0.023	0.164	24
DI₅₀N₁₀	0.019	-0.008	0.037	0.028	0.029	0.102	0.027	0.209	23
DI₅₀N₂₀	0.020	-0.004	0.038	0.030	0.029	0.097	0.030	0.233	20
DI₅₀N₃₀	0.020	-0.004	0.038	0.030	0.029	0.097	0.029	0.231	21
Z⁺	0.063	0.078	0.045	0.059	0.029
Z⁻	0.014	-0.019	0.037	0.020	0.051
R	0.95*	0.98*	0.94*	0.94*	-0.72*

X₁, X₂, X₃, X₄ and X₅ represent normalized value of pod yield, economic benefit, kernel oil content, irrigation water productivity (WP_I), and amount of irrigation water applied, respectively. Z⁺ and Z⁻ are the positive and negative ideal solutions, respectively. Di⁺ and Di⁻ are the distance between each alternative and positive and negative ideal solution, respectively. C_i is the comprehensive benefit evaluation index for different treatments. R is Spearman correlation coefficient between comprehensive benefit index rank and single attribute index rank and the asterisk (*) means that the R was significant at α = 0.05.

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