Exploring Multicriteria Elicitation Model Based on Pairwise Comparisons: Building an Interactive Preference Adjustment Algorithm

Table 1

Number of pairwise comparisons based on the number of criteria and alternatives.

	Number of Alternatives										Number of Alternatives
Number of Criteria		2	3	4	5	6	7	8	9	10		2	3	4	5	6	7	8	9	10
	2	2	4	6	8	10	12	14	16	18	2	2	6	12	20	30	42	56	72	90
	3	3	6	9	12	15	18	21	24	27	3	3	9	18	30	45	63	84	108	135
	4	4	8	12	16	20	24	28	32	36	4	4	12	24	40	60	84	112	144	180
	5	5	10	15	20	25	30	35	40	45	5	5	15	30	50	75	105	140	180	225
	6	6	12	18	24	30	36	42	48	54	6	6	18	36	60	90	126	168	216	270
	7	7	14	21	28	35	42	49	56	63	7	7	21	42	70	105	147	196	252	315
	8	8	16	24	32	40	48	56	64	72	8	8	24	48	80	120	168	224	288	360
	9	9	18	27	36	45	54	63	72	81	9	9	27	54	90	135	189	252	324	405
	10	10	20	30	40	50	60	70	80	90	10	10	30	60	100	150	210	280	360	450
	Reciprocal Transitive Matrix										Traditional Method