Usual criterion		$H (d_{j}) = {\begin{cases} 0 if d_{j} = 0 \\ 1 if d_{j} ≻ 0 \end{cases}$
Quasi criterion		$H (d_{j}) = {\begin{cases} 0 if d_{j} \leq q_{i} \\ 1 if d_{j} ≻ q_{i} \end{cases}$
Criteria with linear preference and no indifference area		$H (d_{j}) = {\begin{cases} \frac{d_{j}}{p_{j}} if d_{j} \leq p_{i} \\ 1 if d_{j} ≻ p_{i} \end{cases}$
Level criterion		$H (d_{j}) = {\begin{cases} 0, if d_{j} \leq p_{j} \\ 0.5; q_{j} < d_{j} < p_{j} \\ 1; d_{j} ≻ p_{j} \end{cases}$
Croterion with linear preference and indifference area		$H (d_{j}) = {\begin{cases} 0, if d_{j} \leq q_{j} \\ \frac{d_{j} - q_{j}}{p_{j} - q_{i}}; if q_{j} ≺ d_{j} \leq p_{j} \\ 1, if d_{j} > p_{i} \end{cases}$ ^,
Gaussian criteria		$H (d_{j}) = 1 - e^{- \frac{d_{j}^{2}}{2 s_{j}^{2}}}$ The value of $\partial$ is the distance between the origin and the point of inflexion of the considered preference function.