The Orders of Magnitude Models as Qualitative Algebras

  title={The Orders of Magnitude Models as Qualitative Algebras},
  author={Louise Trav{\'e}-Massuy{\`e}s and N{\'u}ria Piera Carret{\'e}},
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 qualita­ tive 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 mo­ dels that are generated from a part i t ion of the real l ine. Any of these models can be structured as… CONTINUE READING