An OWA-Based Distance Measure for Ordered Frames of Discernment

As ordinal variables are involved in many applications, in this paper, a distance measure is proposed within the ordered frame of discernment. The relation between elements of the frame of discernment is quantified considering their order information. A relation matrix for the ordered power set is then generated using the OWA operator. The Euclidean-type distance based on the relation matrix is defined and verified with numerical experiments. Results show that this measure exhibits greater flexibility in describing the ordering relationships of elements.