Abstract
In situations where there is a lack of quantitative data description, it is important to use equations where the operators and the coefficients are qualitative. In addition, the results obtained have to be the qualitative description of the quantitative information that we would obtain by using numerical models. In this paper we define and study qualitative linear equations by using qualitative operators consistent with IR in a qualitative model of magnitude orders.
Paper partially supported by the CICYT project: (TETRACCIS).TAP95-0446.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Agell, N., Piera, N.: The Associative Problem for Qualitative Operators. In: Proceedings of the 14th IMACS World Conference, (1995) pp.1413–1415.
Missier, A., Piera, N., Travé, L.: Order of Magnitude Algebras: a Survey. In: Revue d'Intelligence Artificielle, no. 4, vol. 3, (1989) pp. 95–109.
Kleer de J., Brown, J.S.: A Qualitatative Physics Based on Confluences. In: Artificial Intelligence 24, (1984) pp. 7–83.
Piera, N., Sánchez, M., Travé-Massuyès, L.: Qualitative Operators for Order of Magnitude Reasoning: Robustness and Precision. In: Proceedings 43th IMACS World Congress on Computation and Applied Mathematics, Dublin (1991), pp. 1–6.
Piera, N., Agell, N.: Binary Relations for Qualitative Calculus. In Proccedinings of the IEEE-SMC International Conference, Chicago (1992) pp. 267–271.
Piera, N (ed.): Current Trends in Qualitative Reasoning and Applications. Ed. CIMNE, Monograph no 33, Barcelona (1995).
Raiman, O.: Order of Magnitude Reasoning. Artificial Intelligence, núm. 51 (1991) pp. 11–38.
Travé, L., Piera, N.: The Orders of Magnitude Models as Qualitative Algebras. 11th IJCAI, Detroit (1989) pp. 1261–1266.
Travé-Massuyès, L., Dague,Ph., Guerrin, F.: Le raisonement qualitatif pour les sciences de l'ingénieur. Ed. Hermes, Paris (1997).
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1998 Springer-Verlag
About this paper
Cite this paper
Agell, N., Febles, F., Piera, N. (1998). Definition and study of lineal equations on order of magnitude models. In: Mira, J., del Pobil, A.P., Ali, M. (eds) Methodology and Tools in Knowledge-Based Systems. IEA/AIE 1998. Lecture Notes in Computer Science, vol 1415. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-64582-9_760
Download citation
DOI: https://doi.org/10.1007/3-540-64582-9_760
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-64582-5
Online ISBN: 978-3-540-69348-2
eBook Packages: Springer Book Archive