Affiliation:
1. Department of Statistics and Operations Research, University of Oviedo, C/ Calvo Sotelo, s/n 33007 Oviedo, Spain
Abstract
Different authors have observed some relationships between consonant random sets and possibility measures, specially for finite universes. In this paper, we go deeply into this matter and propose several possible definitions for the concept of consonant random set. Three of these conditions are equivalent for finite universes. In that case, the random set considered is associated to a possibility measure if and only if any of them is satisfied. However, in a general context, none of the six definitions here proposed is sufficient for a random set to induce a possibility measure. Moreover, only one of them seems to be necessary.
Publisher
World Scientific Pub Co Pte Lt
Subject
Artificial Intelligence,Information Systems,Control and Systems Engineering,Software
Cited by
25 articles.
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