IWA Publishing

In this study, in order to determine the rank of each solution located on the optimal trade-off curve, five MCDMs called WASPAS, COPRAS, TOPSIS, CP_p₌₃, CP_p₌₂ and CP_p₌₁ have been used. By applying these decision-making methods to the optimal solutions, the rank of each solution based on each MCDM was determined in Table 2. The position of the chromosomes in the last optimal generation shows the basis of the numbering presented in Table 2. From this generation, the dominant answers are removed from the set of answers and the remaining chromosomes are numbered from beginning to end and are ranked using MCDMs. Therefore, ranking is done on 191 non-dominate solutions.

Table 2

The rank of solutions on the optimal trade-off curve using MCDMs

Solution	CP_p₌₁	CP_p₌₂	CP_p₌₃	TOPSIS	M-TOPSIS	COPRAS	WASPAS
1	109	114	63	111	36	7	19
2	25	78	42	84	59	40	81
.	.	.	.	.	.	.	.
.	.	.	.	.	.	.	.
.	.	.	.	.	.	.	.
39	34	81	61	106	110	59	121
40	117	23	78	45	72	81	26
.	.	.	.	.	.	.	.
76	65	72	110	80	38	28	53
.	.	.	.	.	.	.	.
.	.	.	.	.	.	.	.
112	51	39	19	92	29	78	29
.	.	.	.	.	.	.	.
.	.	.	.	.	.	.	.
149	106	92	41	109	26	43	70
.	.	.	.	.	.	.	.
190	73	35	90	68	45	23	76
191	112	44	33	71	66	83	79

Solution	CP_p₌₁	CP_p₌₂	CP_p₌₃	TOPSIS	M-TOPSIS	COPRAS	WASPAS
1	109	114	63	111	36	7	19
2	25	78	42	84	59	40	81
.	.	.	.	.	.	.	.
.	.	.	.	.	.	.	.
.	.	.	.	.	.	.	.
39	34	81	61	106	110	59	121
40	117	23	78	45	72	81	26
.	.	.	.	.	.	.	.
76	65	72	110	80	38	28	53
.	.	.	.	.	.	.	.
.	.	.	.	.	.	.	.
112	51	39	19	92	29	78	29
.	.	.	.	.	.	.	.
.	.	.	.	.	.	.	.
149	106	92	41	109	26	43	70
.	.	.	.	.	.	.	.
190	73	35	90	68	45	23	76
191	112	44	33	71	66	83	79

View Large

Solution	CP_p₌₁	CP_p₌₂	CP_p₌₃	TOPSIS	M-TOPSIS	COPRAS	WASPAS
1	109	114	63	111	36	7	19
2	25	78	42	84	59	40	81
.	.	.	.	.	.	.	.
.	.	.	.	.	.	.	.
.	.	.	.	.	.	.	.
39	34	81	61	106	110	59	121
40	117	23	78	45	72	81	26
.	.	.	.	.	.	.	.
76	65	72	110	80	38	28	53
.	.	.	.	.	.	.	.
.	.	.	.	.	.	.	.
112	51	39	19	92	29	78	29
.	.	.	.	.	.	.	.
.	.	.	.	.	.	.	.
149	106	92	41	109	26	43	70
.	.	.	.	.	.	.	.
190	73	35	90	68	45	23	76
191	112	44	33	71	66	83	79

Solution	CP_p₌₁	CP_p₌₂	CP_p₌₃	TOPSIS	M-TOPSIS	COPRAS	WASPAS
1	109	114	63	111	36	7	19
2	25	78	42	84	59	40	81
.	.	.	.	.	.	.	.
.	.	.	.	.	.	.	.
.	.	.	.	.	.	.	.
39	34	81	61	106	110	59	121
40	117	23	78	45	72	81	26
.	.	.	.	.	.	.	.
76	65	72	110	80	38	28	53
.	.	.	.	.	.	.	.
.	.	.	.	.	.	.	.
112	51	39	19	92	29	78	29
.	.	.	.	.	.	.	.
.	.	.	.	.	.	.	.
149	106	92	41	109	26	43	70
.	.	.	.	.	.	.	.
190	73	35	90	68	45	23	76
191	112	44	33	71	66	83	79

Solution	CP_p₌₁	CP_p₌₂	CP_p₌₃	TOPSIS	M-TOPSIS	COPRAS	WASPAS
1	109	114	63	111	36	7	19
2	25	78	42	84	59	40	81
.	.	.	.	.	.	.	.
.	.	.	.	.	.	.	.
.	.	.	.	.	.	.	.
39	34	81	61	106	110	59	121
40	117	23	78	45	72	81	26
.	.	.	.	.	.	.	.
76	65	72	110	80	38	28	53
.	.	.	.	.	.	.	.
.	.	.	.	.	.	.	.
112	51	39	19	92	29	78	29
.	.	.	.	.	.	.	.
.	.	.	.	.	.	.	.
149	106	92	41	109	26	43	70
.	.	.	.	.	.	.	.
190	73	35	90	68	45	23	76
191	112	44	33	71	66	83	79

Solution	CP_p₌₁	CP_p₌₂	CP_p₌₃	TOPSIS	M-TOPSIS	COPRAS	WASPAS
1	109	114	63	111	36	7	19
2	25	78	42	84	59	40	81
.	.	.	.	.	.	.	.
.	.	.	.	.	.	.	.
.	.	.	.	.	.	.	.
39	34	81	61	106	110	59	121
40	117	23	78	45	72	81	26
.	.	.	.	.	.	.	.
76	65	72	110	80	38	28	53
.	.	.	.	.	.	.	.
.	.	.	.	.	.	.	.
112	51	39	19	92	29	78	29
.	.	.	.	.	.	.	.
.	.	.	.	.	.	.	.
149	106	92	41	109	26	43	70
.	.	.	.	.	.	.	.
190	73	35	90	68	45	23	76
191	112	44	33	71	66	83	79

This Feature Is Available To Subscribers Only

Solution	CP_p₌₁	CP_p₌₂	CP_p₌₃	TOPSIS	M-TOPSIS	COPRAS	WASPAS
1	109	114	63	111	36	7	19
2	25	78	42	84	59	40	81
.	.	.	.	.	.	.	.
.	.	.	.	.	.	.	.
.	.	.	.	.	.	.	.
39	34	81	61	106	110	59	121
40	117	23	78	45	72	81	26
.	.	.	.	.	.	.	.
76	65	72	110	80	38	28	53
.	.	.	.	.	.	.	.
.	.	.	.	.	.	.	.
112	51	39	19	92	29	78	29
.	.	.	.	.	.	.	.
.	.	.	.	.	.	.	.
149	106	92	41	109	26	43	70
.	.	.	.	.	.	.	.
190	73	35	90	68	45	23	76
191	112	44	33	71	66	83	79

Solution	CP_p₌₁	CP_p₌₂	CP_p₌₃	TOPSIS	M-TOPSIS	COPRAS	WASPAS
1	109	114	63	111	36	7	19
2	25	78	42	84	59	40	81
.	.	.	.	.	.	.	.
.	.	.	.	.	.	.	.
.	.	.	.	.	.	.	.
39	34	81	61	106	110	59	121
40	117	23	78	45	72	81	26
.	.	.	.	.	.	.	.
76	65	72	110	80	38	28	53
.	.	.	.	.	.	.	.
.	.	.	.	.	.	.	.
112	51	39	19	92	29	78	29
.	.	.	.	.	.	.	.
.	.	.	.	.	.	.	.
149	106	92	41	109	26	43	70
.	.	.	.	.	.	.	.
190	73	35	90	68	45	23	76
191	112	44	33	71	66	83	79