An Examination of Ranking Quality for Simulated Pairwise Judgments in relation to Performance of the Selected Consistency Measure

Table 9

Performance of TSL(A) index under the action of LLSM as the PP. Statistical characteristics of the MAEs distribution in relation to various levels of TSL(A) within a given for i=1,…,15. The results are based on 10,000 perturbed random reciprocal PCMs with application of Saaty’s scales and were generated on the basis of as the simulation . The table contains results for , presented consecutively.

	for	Mean in	–quantiles of MAEs among w and w(LLSM)					Average MAEs among w and
			=0.05	=0.1	=0.5	=0.9	=0.95
1		0.057912	0.0039186	0.0049954	0.0109799	0.0221753	0.0274887	0.0127898
2		0.099124	0.0056158	0.0073876	0.0157136	0.0324243	0.0398139	0.0183201
3		0.116088	0.0063140	0.0079525	0.0184299	0.0389673	0.0490687	0.0214159
4		0.133907	0.0075132	0.0102233	0.0230429	0.0443459	0.0539668	0.0258898
5		0.151127	0.0099921	0.0129535	0.0261046	0.0486044	0.0581258	0.0290851
6		0.167911	0.0113191	0.0142543	0.0289546	0.0558904	0.0682777	0.0328936
7		0.184671	0.0125612	0.0158052	0.0320054	0.0594491	0.0730399	0.0357402
8		0.201896	0.0136853	0.0171375	0.0339101	0.0640703	0.0789391	0.0380755
9		0.219329	0.0142803	0.0178080	0.0361548	0.0711273	0.0839402	0.0408705
10		0.236371	0.0150518	0.0185369	0.0380656	0.0762136	0.0919801	0.0435024
11		0.253302	0.0161087	0.0208189	0.0405464	0.0789105	0.0929572	0.0462684
12		0.270523	0.0160427	0.0205586	0.0431223	0.0821647	0.0965329	0.0482168
13		0.288211	0.0165698	0.0209757	0.0457022	0.0865715	0.100490	0.0504072
14		0.305099	0.0177870	0.0226112	0.0455671	0.0859316	0.100544	0.0507868
15		0.357080	0.0186614	0.0241816	0.0493007	0.0932224	0.107664	0.0547348
i	for TSL(A)	Mean TSL(A) in	p–quantiles of MAEs among w and w(LLSM)					Average MAEs among w and
			p=0.05	p=0.1	p=0.5	p=0.9	p=0.95
1		0.0618775	0.0036042	0.0044511	0.0090509	0.0175099	0.0212066	0.0102634
2		0.096694	0.00584585	0.0072472	0.0147877	0.0255157	0.0297767	0.0158427
3		0.109186	0.0071783	0.0088408	0.0167774	0.0304119	0.0360603	0.0186253
4		0.121228	0.00831565	0.0102091	0.0192100	0.0349865	0.0420209	0.0214601
5		0.133028	0.0088771	0.0109435	0.0208206	0.0393504	0.0481357	0.0236802
6		0.144977	0.0097898	0.0118208	0.0225534	0.0439163	0.0538868	0.0259512
7		0.156874	0.0101678	0.0126009	0.0248914	0.0500528	0.0613696	0.0288113
8		0.169306	0.0113233	0.0138144	0.0274455	0.0552421	0.0656847	0.0317599
9		0.181783	0.0120341	0.0147276	0.0297646	0.0587297	0.0700824	0.0339487
10		0.193745	0.0124796	0.0157621	0.0317564	0.0613300	0.0720410	0.0356610
11		0.205758	0.0137977	0.0167981	0.0329443	0.0622977	0.0721443	0.0368687
12		0.218204	0.0140878	0.0175574	0.0347152	0.0652521	0.0774105	0.0386492
13		0.230723	0.0140705	0.0177333	0.0369638	0.0672822	0.0764555	0.0402684
14		0.242818	0.0146810	0.0186397	0.0381558	0.0692375	0.0786225	0.0413928
15		0.279499	0.0168309	0.0207854	0.0401272	0.0721349	0.0829652	0.0439267
i	for TSL(A)	Mean TSL(A) in	p–quantiles of MAEs among w and w(LLSM)					Average MAEs among w and
			p=0.05	p=0.1	p=0.5	p=0.9	p=0.95
1		0.061626	0.00329141	0.0040063	0.0079292	0.0153184	0.017980	0.0089902
2		0.085354	0.00558449	0.0066781	0.0124836	0.0217916	0.0254877	0.0136394
3		0.095128	0.00622084	0.0074651	0.0136346	0.0241580	0.0288301	0.0151410
4		0.105046	0.00677146	0.0081844	0.0150571	0.0277432	0.0343089	0.0170348
5		0.114884	0.00728075	0.0089529	0.0164708	0.0329745	0.0408782	0.0192642
6		0.124902	0.00792417	0.0097471	0.0185168	0.0378364	0.0464765	0.0217170
7		0.134949	0.00851189	0.0104389	0.0202075	0.0415434	0.0507830	0.0236614
8		0.144883	0.00952136	0.0115606	0.0224145	0.0446314	0.0531641	0.0257116
9		0.155416	0.0101888	0.0121602	0.0241178	0.0465694	0.0553538	0.0275101
10		0.165845	0.0110535	0.0132394	0.0261677	0.0499157	0.0583309	0.0293786
11		0.175874	0.0116123	0.0139639	0.0273006	0.0515428	0.0596329	0.0304575
12		0.185981	0.0121824	0.0150547	0.0293308	0.0532065	0.0613544	0.0320030
13		0.195819	0.0122294	0.0152015	0.0299135	0.0553010	0.0642011	0.0330142
14		0.205937	0.0132402	0.0164008	0.0321805	0.0552598	0.0636846	0.0343310
15		0.235348	0.0147413	0.0179580	0.0321805	0.0586515	0.0682411	0.0363445
i	for TSL(A)	Mean TSL(A) in	p–quantiles of MAEs among w and w(LLSM)					Average MAEs among w and
			p=0.05	p=0.1	p=0.5	p=0.9	p=0.95
1		0.056493	0.0029930	0.0036359	0.0071723	0.0129253	0.0151100	0.0079193
2		0.073616	0.0047668	0.0056647	0.0098201	0.0165545	0.0197820	0.0107659
3		0.082558	0.0051148	0.00615425	0.0108293	0.0189720	0.0232764	0.0121106
4		0.090957	0.0054815	0.0067644	0.0120701	0.0230822	0.0289636	0.0139455
5		0.0995085	0.0062208	0.0074045	0.0134360	0.0267488	0.0338094	0.0157422
6		0.108507	0.0065308	0.0079148	0.0148310	0.0307300	0.0379708	0.0175495
7		0.117503	0.0073636	0.0087983	0.0166204	0.0342287	0.0402093	0.0192815
8		0.126447	0.0077367	0.00920785	0.0182781	0.0366835	0.0432579	0.0209778
9		0.135467	0.0081883	0.0099817	0.0200944	0.0391024	0.0463982	0.0227669
10		0.144406	0.00893715	0.0109052	0.0215995	0.0404294	0.0465999	0.0240918
11		0.153395	0.0096365	0.0118788	0.0228543	0.0420224	0.0488816	0.0252208
12		0.162379	0.0105213	0.0128739	0.0250637	0.0441591	0.0509963	0.0270496
13		0.171319	0.0109917	0.0133182	0.0253654	0.0446033	0.0525163	0.0275815
14		0.180246	0.0120041	0.0144395	0.0266159	0.0464516	0.0529339	0.0289197
15		0.205854	0.0127740	0.0155662	0.0283804	0.0479564	0.0549310	0.0304352
i	for TSL(A)	Mean TSL(A) in	p–quantiles of MAEs among w and w(LLSM)					Average MAEs among w and
			p=0.05	p=0.1	p=0.5	p=0.9	p=0.95
1		0.051197	0.0026372	0.0031677	0.0061278	0.0107141	0.0122502	0.0066588
2		0.064092	0.0040166	0.0047872	0.0079722	0.0133870	0.0158901	0.0087678
3		0.072019	0.0044127	0.0052033	0.0089180	0.0154595	0.0189767	0.0099818
4		0.080495	0.0046625	0.0055923	0.0098746	0.0183837	0.0234965	0.0114040
5		0.089047	0.0052813	0.0062378	0.0110158	0.0221043	0.0279174	0.0129826
6		0.097017	0.0056575	0.0067669	0.0124636	0.0261396	0.0326188	0.0147615
7		0.105051	0.0061505	0.0074036	0.0138920	0.0290254	0.0358010	0.0164984
8		0.113488	0.0066692	0.0079686	0.0153474	0.0308319	0.0365922	0.0177312
9		0.122009	0.0073133	0.0087907	0.0171076	0.0330852	0.0388189	0.0193438
10		0.129857	0.0076181	0.0092912	0.0186416	0.0343317	0.0401595	0.0204982
11		0.137970	0.0083801	0.0102174	0.0199779	0.0355818	0.0416818	0.0216939
12		0.146298	0.0091112	0.0107807	0.0212040	0.0376109	0.0430078	0.0229256
13		0.154883	0.0097330	0.0118942	0.0219635	0.0378245	0.0435528	0.0237785
14		0.162793	0.0102563	0.0125995	0.0228089	0.0390630	0.0443591	0.0244409
15		0.184864	0.0115601	0.0138072	0.0242891	0.0403012	0.0468790	0.0259996