Belief Fusion: Aggregating Pedigreed Belief States |
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Authors: | Pedrito Maynard-Reid II Yoav Shoham |
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Affiliation: | (1) Computer Science Department, Stanford University, Stanford, CA, 94305, U.S.A. |
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Abstract: | We introduce a new operator – belief fusion– which aggregates the beliefs of two agents, each informed by a subset of sources ranked by reliability. In the process we
definepedigreed belief states, which enrich standard belief states with the source of each piece of information. We note that the fusion operator satisfies
the invariants of idempotence, associativity, and commutativity. As a result, it can be iterated without difficulty. We also
define belief diffusion; whereas fusion generally produces a belief state with more information than is possessed by either of its two arguments,
diffusion produces a state with less information. Fusion and diffusion are symmetric operators, and together define a distributive
lattice. Finally, we show that AGM revision can be viewed as fusion between a novice and an expert.
This revised version was published online in August 2006 with corrections to the Cover Date. |
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Keywords: | belief aggregation knowledge representation multi-agent systems |
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