An axiomatic model for merging stratified belief bases by negotiation

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Abstract

This paper presents an axiomatic model for merging stratified belief bases by negotiation. We introduce the concept of mapping solution, which maps the preferences of agents into layers, as a vehicle to represent the belief states of agents and their attitudes towards the negotiation situations. The belief merging process in our model is divided into two stages: in the first stage, the agents' stratified belief bases are maped to their preferences, and in the second stage a negotiation between the agents is carried out based on these preferences. In this paper, a set of rational axioms for negotiation-based belief merging is proposed and a negotiation solution which satisfies the proposed axioms is introduced. Finally, the logical properties of a family of merging-by-negotiation operators are discussed. © 2012 Springer-Verlag.

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Tran, T. H., & Vo, Q. B. (2012). An axiomatic model for merging stratified belief bases by negotiation. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 7653 LNAI, pp. 174–184). https://doi.org/10.1007/978-3-642-34630-9_18

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