English

Evidence Against Evidence Theory (?!)

Artificial Intelligence 2017-06-12 v1

Abstract

This paper is concerned with the apparent greatest weakness of the Mathematical Theory of Evidence (MTE) of Shafer \cite{Shafer:76}, which has been strongly criticized by Wasserman \cite{Wasserman:92ijar} - the relationship to frequencies. Weaknesses of various proposals of probabilistic interpretation of MTE belief functions are demonstrated. A new frequency-based interpretation is presented overcoming various drawbacks of earlier interpretations.

Cite

@article{arxiv.1706.02929,
  title  = {Evidence Against Evidence Theory (?!)},
  author = {Mieczysław A. Kłopotek and Andrzej Matuszewski},
  journal= {arXiv preprint arXiv:1706.02929},
  year   = {2017}
}

Comments

30 pages. arXiv admin note: substantial text overlap with arXiv:1704.04000

R2 v1 2026-06-22T20:13:59.937Z