On Consensus in Belief Merging

Authors

  • Nicolas Schwind National Institute of Advanced Industrial Science and Technology
  • Pierre Marquis CRIL-CNRS, Universit√© d'Artois, Institut Universitaire de France

Keywords:

Belief Merging, Consensus, IC postulates

Abstract

We define a consensus postulate in the propositional belief merging setting. In a nutshell, this postulate imposes the merged base to be consistent with the pieces of information provided by each agent involved in the merging process. The interplay of this new postulate with the IC postulates for belief merging is studied, and an incompatibility result is proved. The maximal sets of IC postulates which are consistent with the consensus postulate are exhibited. When satisfying some of the remaining IC postulates, consensus operators are shown to suffer from a weak inferential power. We then introduce two families of consensus operators having a better inferential power by setting aside some of these postulates.

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Published

2018-04-25

How to Cite

Schwind, N., & Marquis, P. (2018). On Consensus in Belief Merging. Proceedings of the AAAI Conference on Artificial Intelligence, 32(1). Retrieved from https://ojs.aaai.org/index.php/AAAI/article/view/11543

Issue

Section

AAAI Technical Track: Knowledge Representation and Reasoning