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Conference Papers Year : 2022

Belief functions on ordered frames of discernment

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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Dates and versions

hal-03807181 , version 1 (09-10-2022)
hal-03807181 , version 2 (05-11-2022)

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Arnaud Martin. Belief functions on ordered frames of discernment. 7th International Conference on Belief Functions (BELIEF2022), BFAS, Oct 2022, Paris, France. ⟨hal-03807181v2⟩
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