Consonant Random Sets: Structure and Properties

In this paper, we investigate consonant random sets from the point of view of lattice theory. We introduce a new definition of consonancy and study its relationship with possibility measures as upper probabilities. This allows us to improve a number of results from the literature. Finally, we study the suitability of consonant random sets as models of the imprecise observation of random variables.

• Type: Conference
• Year: 2005
• Where: ECSQARU
• Authors: Enrique Miranda
• Keywords: Consonant Random Sets, ECSQARU 2005, Lattice Theory, Upper Probabilities