In this chapter we study valuation algebras from an algebraic point of view. That is, we consider them as algebraic structures in their own right. We shall see that this gives interesting insight, not only into the computational aspects, but also into the way valuations represent uncertain, partial or other knowledge. The approach is motivated both by universal algebra (many algebraic techniques and results are not so much linked to specific structures such as groups, rings, etc., but are generic) as well as by the specific problem setting and semantic intuition behind valuation algebras.
KeywordsBelief Function Neutral Element Probability Potential Quotient Algebra Possibility Potential
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