There are a few methods for estimating or selecting the parameters weight (wi) while using the water quality index (WQI) to evaluate the quality of the water.
One method is to use the Analytical Hierarchical Process (AHP). The AHP is a multi-criteria decision-making (MCDM) method that can be used to determine the relative importance of different factors. In the case of WQI, the factors would be the water quality parameters.
The AHP involves the following steps:
Identify the water quality parameters that will be used in the WQI.
Develop a hierarchy of the parameters, with the most important parameter at the top of the hierarchy.
Assign weights to the parameters based on their relative importance.
Calculate the WQI for each water sample.
Another method for estimating or selecting the parameters weight (wi) is to use expert judgment. This involves consulting with experts in water quality to get their opinion on the relative importance of the different parameters.
The expert judgment method is often used in conjunction with the AHP. The AHP can be used to provide a more structured approach to the process, while the expert judgment can be used to get the input of experienced professionals.
Finally, the parameters weight (wi) can also be estimated using statistical methods. This involves collecting data on the water quality parameters and using statistical techniques to determine their relative importance.
The statistical methods approach is often used when there is a large amount of data available. However, it can be more complex than the other two methods.
The best method for estimating or selecting the parameters weight (wi) will depend on the specific situation. If there is a limited amount of data available, then the expert judgment method may be the best option. If there is a large amount of data available, then the statistical methods approach may be the best option.
In general, the parameters weight (wi) should be based on the relative importance of the different water quality parameters. The parameters that are most important for human health or the environment should have the highest weights.