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Communication Dans Un Congrès Année : 1989

THE ORDERS OF MAGNITUDE MODELS AS QUALITATIVE ALGEBRAS

Résumé

This paper provides a unifying mathematical framework for orders of magnitude models used in Qualitative Physics. An axiomatic of the qualitative equality is provided and a general algebraic structure called qualitative algebra is defined. It is shown that the usual model (+,-,0,?) and the extended model recently introduced by Dubois and Prade are particular cases in the class of models that are generated from a partition of the real line. Any of these models can be structured as qualitative algebra. On the other hand, we characterize those qualitative algebras that are isomorphous, in a qua litative sense. Besides, it is shown that all these models can be embedded into one another as qualitative subalgebras.
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Dates et versions

hal-03325964 , version 1 (27-08-2021)

Identifiants

Citer

Louise Travé-Massuyès, N Piera. THE ORDERS OF MAGNITUDE MODELS AS QUALITATIVE ALGEBRAS. Eleventh International Joint Conference on Artificial Intelligence (IJCAI-89), Aug 1989, Detroit (MI), United States. pp.1261-1266, ⟨10.5555/1623891.1623957⟩. ⟨hal-03325964⟩
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