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Belief functions on ordered frames of discernment
October 10, 2022 Β· Declared Dead Β· π BELIEF
"No code URL or promise found in abstract"
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Authors
Arnaud Martin
arXiv ID
2210.04535
Category
cs.AI: Artificial Intelligence
Cross-listed
cs.MA,
cs.SI
Citations
4
Venue
BELIEF
Last Checked
4 months ago
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.
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