Quantum-Based Belief Merging

Belief merging aims at building a common belief set issued from multiple belief sets. The quality of the resulting set is usually considered in terms of a closeness criterion between the initial belief sets and an integrity constraint with respect to the aim of the merging procedure. The notion of distance between belief sets is thus a crucial issue when we face the merging problem. The aim of this paper is to revisit belief merging operators, notably the majority and the arbitration operators, with the help of a new distance that considers, in a syntactical way, the importance of each symbol in the belief set.