Abstract
The paper continues investigations of the imprecision index of lower probabilities in the axiomatic approach framework. The class of symmetric linear imprecision indices is introduced. It is shown that the indices of this class can be represented as a weighted sum of elementary imprecision indices each of those defines the imprecision of the measure only with respect to one set. Algebraic structure of this class and its extreme set are described. It is proved that the set of all symmetric linear imprecision indices is a convex hull of a set of elementary indices.
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