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Table 2 Optimized method of calculating membership

From: Risk assessment methodology for iron stability under water quality factors based on fuzzy comprehensive evaluation

Kn

Incremental factor

Descending factor

\(u_{i} < k^{\prime}_{1}\)

\(Q_{i} { = }\frac{{k^{\prime}_{1} - u_{i} }}{{V_{ \hbox{max} } }}\)

\(Q_{i} = \frac{{u_{i} - \,k^{\prime}_{1} }}{{V_{\hbox{max} } }}\)

\(u_{i} < k^{\prime}_{5}\)

\(Q_{i} = \frac{{u_{i} - \,k^{\prime}_{5} }}{{V_{\hbox{max} } }}\)

\(Q_{i} = \frac{{k^{\prime}_{1} - u_{i} }}{{V_{\hbox{max} } }}\)