A Multiobjective Programming Method for Ranking All Units Based on Compensatory DEA Model

Table 4

Efficiencies of the countries participating in the Athens 2004 Olympic Games.

Country or area (DMU)	DEA efficiencies	The method in [21]		The method in [22]		Proposed method
		Efficiency intervals	Rank	Efficiencies	Rank	Efficiencies	Rank
Argentina	0.08978	0.00004, 0.08978	52	0.03364	55	0.00429	44
Australia	1.00000	0.00023, 1.00000	26	0.70622	5	0.02271	15
Austria	0.42598	0.00010, 0.42598	34	0.31406	17	0.00746	33
Azerbaijan	1.00000	0.00030, 1.00000	23	0.15484	32	0.02075	16
Bahamas	1.00000	0.00039, 1.00000	22	1.00000	1	0.08595	1
Belarus	1.00000	0.00212, 1.00000	2	0.58614	7	0.05144	4
Belgium	0.11826	0.00001, 0.11826	67	0.06027	50	0.00222	63
Brazil	0.03770	0.00004, 0.03770	54	0.01161	66	0.00180	65
Britain	0.22016	0.00004, 0.22016	51	0.14832	34	0.00405	51
Bulgaria	1.00000	0.00068, 1.00000	12	0.44803	10	0.04399	6
Cameroon	0.15419	0.00001, 0.15419	65	0.00006	73	0.00295	59
Canada	0.17040	0.00005, 0.17040	47	0.13567	36	0.00351	55
Chile	0.10916	0.00003, 0.10916	58	0.02007	61	0.00501	41
China	1.00000	0.00010, 1.00000	39	0.01105	67	0.00200	64
China, Hong Kong	0.08323	0.00004, 0.08323	53	0.08178	43	0.00177	67
Chinese Taipei	0.10304	0.00005, 0.10304	48	0.06486	49	0.00388	53
Columbia	0.05115	0.00001, 0.05115	71	0.01437	65	0.00125	69
Croatia	0.47307	0.00050, 0.47307	17	0.39662	13	0.02538	12
Cuba	1.00000	0.00155, 1.00000	4	0.67743	6	0.07166	2
Czech Republic	0.38991	0.00023, 0.38991	27	0.29448	18	0.01436	22
Denmark	0.93665	0.00003, 0.93665	56	0.34351	14	0.00872	29
Dominican Republic	0.17635	0.00002, 0.17635	62	0.00011	72	0.00468	42
Egypt	0.09781	0.00014, 0.09781	31	0.02138	60	0.00255	61
Eritrea	1.00000	0.00004, 1.00000	49	0.07643	44	0.00832	30
Estonia	1.00000	0.00069, 1.00000	11	0.91362	3	0.04368	7
Ethiopia	1.00000	0.00045, 1.00000	19	0.03171	56	0.00427	45
Finland	0.22139	0.00007, 0.22139	43	0.21505	24	0.00340	56
France	0.24442	0.00004, 0.24442	50	0.15195	33	0.00465	43
Georgia	1.00000	0.00340, 1.00000	1	0.25823	20	0.04032	8
Germany	0.51400	0.00005, 0.51400	44	0.18523	28	0.00508	40
Greece	0.68020	0.00025, 0.68020	25	0.42443	12	0.02014	17
Hungary	0.95138	0.00052, 0.95138	16	0.43782	11	0.03607	9
India	0.00337	0.00001, 0.00337	73	0.00054	70	0.00004	73
Indonesia	0.02180	0.00004, 0.02180	55	0.00559	68	0.00069	71
Iran	0.05368	0.00010, 0.05368	35	0.02631	58	0.00306	58
Israel	0.04833	0.00002, 0.04833	63	0.04831	52	0.00409	49
Italy	0.23392	0.00006, 0.23392	46	0.16714	30	0.00534	38
Jamaica	1.00000	0.00127, 1.00000	6	0.46528	9	0.06032	3
Japan	0.14589	0.00002, 0.14589	66	0.06896	47	0.00235	62
Kazakhstan	0.35502	0.00075, 0.35502	10	0.22199	23	0.01790	20
Kenya	0.85474	0.00134, 0.85474	5	0.08899	42	0.00914	28
Korea, Republic	0.47165	0.00015, 0.47165	30	0.20518	25	0.01028	26
Latvia	1.00000	0.00194, 1.00000	3	1.00000	2	0.04885	5
Lithuania	0.49341	0.00064, 0.49341	14	0.33673	15	0.02417	14
Mexico	0.02075	0.00003, 0.02075	59	0.01948	62	0.00096	70
Mongolia	1.00000	0.00007, 1.00000	42	0.12370	38	0.01290	23
Morocco	0.12119	0.00017, 0.12119	29	0.01883	63	0.00415	47
Netherlands	0.67746	0.00013, 0.67746	32	0.48570	8	0.01079	25
New Zealand	0.71636	0.00017, 0.71636	28	0.28606	19	0.01560	21
Nigeria	0.04570	0.00001, 0.04570	72	0.00502	69	0.00052	72
Norway	1.00000	0.00002, 1.00000	60	0.06775	48	0.00809	32
Paraguay	0.33965	0.00094, 0.33965	7	0.09677	41	0.00721	35
Poland	0.11449	0.00009, 0.11449	36	0.07181	45	0.00626	37
Portugal	0.14606	0.00008, 0.14606	41	0.14039	35	0.00423	46
Romania	0.54421	0.00068, 0.54421	13	0.22247	22	0.02859	10
Russia	1.00000	0.00043, 1.00000	20	0.19420	27	0.01886	19
Serbia and Montenegro	0.24230	0.00055, 0.24230	15	0.11067	39	0.00732	34
Slovakia	0.44929	0.00043, 0.44929	21	0.33348	16	0.02585	11
Slovenia	1.00000	0.00025, 1.00000	25	0.77679	4	0.02535	13
South Africa	0.06503	0.00011, 0.06503	33	0.05054	51	0.00367	54
Spain	0.32958	0.00008, 0.32958	40	0.18407	29	0.00518	39
Sweden	0.42647	0.00005, 0.42647	45	0.15964	31	0.00643	36
Switzerland	0.29930	0.00003, 0.29930	57	0.20458	26	0.00392	52
Syria	0.08710	0.00001, 0.08710	68	0.01739	64	0.00166	68
Thailand	0.09048	0.00009, 0.09048	37	0.02944	57	0.00415	48
Trinidad and Tobago	0.37071	0.00002, 0.37071	61	0.24628	21	0.01227	24
Turkey	0.05986	0.00009, 0.05986	38	0.04200	54	0.00407	50
Ukraine	0.68481	0.00082, 0.68481	9	0.12401	37	0.01891	18
United Arabic Emirates	0.07446	0.00001, 0.07446	69	0.00023	71	0.00316	57
United States	1.00000	0.00003, 1.00000	64	0.10257	40	0.00265	60
Uzbekistan	0.82038	0.00048, 0.82038	18	0.04699	53	0.00827	31
Venezuela	0.05859	0.00001, 0.05859	70	0.02452	59	0.00179	66
Zimbabwe	0.59653	0.00090, 0.59653	8	0.07011	46	0.01012	27