Multicriterion analysis with heterogeneous attributes and incomplete information in a non-deterministic context

When dealing with non-deterministic situations in a multiattribute context, once the existence of different types of non-determinism is accepted, it is recognised implicitly that the nature of the various aspects (attributes) to be taken into account may be different from one attribute to another. Despite that, no knowledge is possessed about studies in MCDA concerning this situation of heterogeneous attributes relative to the type of non-determinism. This paper, considering the necessity of tackling such a problem, and taking into account recent studies on non-deterministic situations in MCDA, studies two types of decision situation with heterogeneous attributes. The first one concerns situations with known importance variables, the second one concerns those with incomplete information about the importance variables.