Preference ranking organization method for enrichment evaluation: Difference between revisions

Revision as of 05:03, 16 October 2022

Revision as of 14:33, 8 September 2023

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:<math>\pi_k(a_i,a_j)=P_k[d_k(a_i,a_j)]</math>

where <math>P_k:\R\rightarrow[0,1]</math> is a positive non-decreasing preference function such that <math>P_jP_k(0)=0</math>. Six different types of preference function are proposed in the original Promethee definition. Among them, the linear unicriterion preference function is often used in practice for quantitative criteria:

:<math>P_k(x) \begin{cases} 0, & \text{if } x\le q_k \\ \frac{x-q_k}{p_k-q_k}, & \text{if } q_k<x\le p_k \\ 1, & \text{if } x>p_k \end{cases}</math>