Reduction based on similarity and decision-making

Journal of the Egyptian Mathematical Society

Table 7 Weighed rough membership for Y

Objects	Minimum	Maximum	Average	Rough membership μ
x₁	0.18	0.31	0.245	0
x₂	0.0	0.30	0.15	0
x₃	0.0	0.19	0.095	0
x₄	0.18	0.31	0.245	\(\frac {1}{2}\)
x₅	0.0	0.30	0.15	0
x₆	0.0	0.19	0.095	0
x₇	0.0	0.30	0.15	0
x₈	0.10	0.31	0.205	\(\frac {2}{3}\)
x₉	0.24	0.51	0.375	0
x₁₀	0.24	0.71	0.47	0
x₁₁	0.0	0.10	0.05	0
x₁₂	0.10	0.42	0.26	0
x₁₃	0.27	0.70	0.485	\(\frac {1}{2}\)
x₁₄	0.18	0.31	0.245	\(\frac {1}{2}\)
x₁₅	0.0	0.30	0.15	0
x₁₆	0.10	0.31	0.205	\(\frac {1}{2}\)
x₁₇	0.42	0.70	0.56	\(\frac {2}{3}\)
x₁₈	0.24	0.42	0.33	\(\frac {1}{3}\)
x₁₉	0.24	0.42	0.33	1