Belief functions on ordered frames of discernment
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Abstract (arXiv)
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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5 of 15 references.
References · 5
- 2013Decision under Uncertaintycited by 11
- 2020Belief functions induced by random fuzzy sets: A general framework for representing uncertain and fuzzy evidencecited by 6
- 2017Conflict management in information fusion with belief functionscited by 5
- 2020Fuzzy Jaccard Index: A robust comparison of ordered listscited by 5
- 2015A Distance-Based Decision in the Credal Levelcited by 1
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