Abstract
Qualitative reasoning deals with information expressed in terms of qualitative classes and relations among them, such as comparability, negligibility or closeness. In this paper, we focus on the notion of closeness using a hybrid approach which is based on logic, order-of-magnitude reasoning, and on the so-called proximity structures; these structures will be used to decide the elements that are close to each other. Some of the intuitions of this approach are explained on the basis of examples. Moreover, we show some capabilities of the logic with respect to expressivity in order to denote particular positions of the proximity intervals.
Partially supported by the Spanish research project TIN2012-39353-C04-01.
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Notes
- 1.
This is a well-known effect in marketing.
- 2.
There are at least as many elements in \(\mathcal{C}\) as qualitative classes.
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Burrieza, A., Muñoz-Velasco, E., Ojeda-Aciego, M. (2016). A Hybrid Approach to Closeness in the Framework of Order of Magnitude Qualitative Reasoning. In: Martínez-Álvarez, F., Troncoso, A., Quintián, H., Corchado, E. (eds) Hybrid Artificial Intelligent Systems. HAIS 2016. Lecture Notes in Computer Science(), vol 9648. Springer, Cham. https://doi.org/10.1007/978-3-319-32034-2_60
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