Belief functions on ordered frames of discernment
Artificial Intelligence
2022-11-09 v2 Multiagent Systems
Social and Information Networks
Abstract
Most questionnaires offer ordered responses whose order is poorly studied via belief functions. In this paper, we study the consequences of a frame of discernment consisting of ordered elements on belief functions. This leads us to redefine the power space and the union of ordered elements for the disjunctive combination. We also study distances on ordered elements and their use. In particular, from a membership function, we redefine the cardinality of the intersection of ordered elements, considering them fuzzy.
Keywords
Cite
@article{arxiv.2210.04535,
title = {Belief functions on ordered frames of discernment},
author = {Arnaud Martin},
journal= {arXiv preprint arXiv:2210.04535},
year = {2022}
}