Reduction based on similarity and decision-making

Journal of the Egyptian Mathematical Society

Table 5 QSAR information system

Objects	a₁	a₂	a₃	a₄	a₅	a₆	a₇	Decision
x₁	0.23	0.31	−0.55	254.2	2.126	−0.02	82.2	8.5
x₂	−0.48	−0.60	0.51	303.6	2.994	−1.24	112.3	8.2
x₃	−0.61	−0.77	1.20	287.9	2.994	−1.08	103.7	8.5
x₄	0.45	1.54	−1.40	282.9	2.933	−0.11	99.1	11.0
x₅	−0.11	−0.22	0.29	335.0	3.458	−1.19	127.5	6.3
x₆	−0.51	−0.64	0.76	311.6	3.243	−1.43	120.5	8.8
x₇	0.00	0.00	0.00	224.9	1.662	0.03	65.0	7.1
x₈	0.15	0.13	−0.25	337.2	3.856	−1.06	140.6	10.1
x₉	1.20	1.80	−2.10	322.6	3.350	0.04	131.7	16.8
x₁₀	1.28	1.70	−2.00	324.0	3.518	0.12	131.5	15.0
x₁₁	−0.77	−0.99	0.78	336.6	2.933	−2.26	144.3	7.9
x₁₂	0.90	1.23	−1.60	336.3	3.860	−0.33	132.3	13.3
x₁₃	1.56	1.79	−2.60	336.1	4.638	−0.05	155.8	11.2
x₁₄	0.38	0.49	−1.50	228.5	2.876	−0.31	106.7	8.2
x₁₅	0.00	−0.04	0.09	266.7	2.279	−0.40	88.5	7.4
x₁₆	0.17	0.26	−0.58	282.9	2.743	−0.53	105.3	8.8
x₁₇	1.85	2.25	−2.70	401.8	5.755	−0.31	185.9	9.9
x₁₈	0.89	0.96	−1.70	377.8	4.791	−0.84	162.7	8.8
x₁₉	0.71	1.22	−1.60	295.1	3.054	−0.13	115.6	12.0