Can we apply multi-criteria decision making algorithms in incomplete data?

I am currently working on a project where a multi criteria decision making algorithm is needed in order to evaluate several alternatives for a given goal. After long research, I decided to use the AHP method for my case study. The problem is that the alternatives taken into account for the given goal contain incomplete data.

For example, I am interested in buying a house and I have three alternatives to consider. One criterion for comparing them is the size of the house. Let’s assume that I know the sizes of some of the rooms of these houses, but I do not have information about the actual sizes of the entire houses.

My questions are:

• Can we apply AHP (or any MCDM method) when we are dealing with incomplete data?
• What are the consequences?
• And, how can we minimize the presence of missing data in MCDM methods?

I would really appreciate some advice or help! Thanks!