Abstract:

First, the concept of compatibility degree of two interval multiplicative preference relations is defined, and then a compatibility index of two interval multiplicative preference relations is also given. It is proven that an interval multiplicative preference relation and the synthetic interval multiplicative preference relation of a set of interval multiplicative preference relations are of acceptable compatibility under the condition that the interval multiplicative preference relation and each of the interval multiplicative preference relations in the set are of acceptable compatibility.

Key words: interval multiplicative preference relation; compatibility degree; compatibility index