Nonspecificity for infinite random sets of indexable type

  • Authors:
  • Diego A. Alvarez

  • Affiliations:
  • Arbeitsbereich für Technische Mathematik am, Institut für Grundlagen der Bauingenieurwissenschaften, Leopold-Franzens Universität, Technikerstraße 13, A-6020 Innsbruck, Austria

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2008

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Abstract

In this document the Hartley-like-based measure of nonspecificity for finite random sets is extended to infinite random sets of indexable type. In the course of the paper, concepts defined in the realm of Dempster-Shafer evidence theory, like joint and marginal random sets and random set inclusion are also generalized. It is shown that the proposed measure is the unique one that fulfills a set of characterizing properties, and in addition corresponds to the one defined in the field of evidence theory when particularized to finite random sets.