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| Content Provider | Springer Nature Link |
|---|---|
| Author | Dubois, Didier Hájek, Petr Prade, Henri |
| Copyright Year | 2000 |
| Abstract | The starting point of this work is the gap between two distinct traditions in information engineering: knowledge representation and data-driven modelling. The first tradition emphasizes logic as a tool for representing beliefs held by an agent. The second tradition claims that the main source of knowledge is made of observed data, and generally does not use logic as a modelling tool. However, the emergence of fuzzy logic has blurred the boundaries between these two traditions by putting forward fuzzy rules as a Janus-faced tool that may represent knowledge, as well as approximate non-linear functions representing data. This paper lays bare logical foundations of data-driven reasoning whereby a set of formulas is understood as a set of observed facts rather than a set of beliefs. Several representation frameworks are considered from this point of view: classical logic, possibility theory, belief functions, epistemic logic, fuzzy rule-based systems. Mamdani's fuzzy rules are recovered as belonging to the data-driven view. In possibility theory a third set-function, different from possibility and necessity plays a key role in the data-driven view, and corresponds to a particular modality in epistemic logic. A bi-modal logic system is presented which handles both beliefs and observations, and for which a completeness theorem is given. Lastly, our results may shed new light in deontic logic and allow for a distinction between explicit and implicit permission that standard deontic modal logics do not often emphasize. |
| Starting Page | 65 |
| Ending Page | 89 |
| Page Count | 25 |
| File Format | |
| ISSN | 09258531 |
| Journal | Journal of Logic, Language and Information |
| Volume Number | 9 |
| Issue Number | 1 |
| e-ISSN | 15729583 |
| Language | English |
| Publisher | Kluwer Academic Publishers |
| Publisher Date | 2000-01-01 |
| Publisher Place | Dordrecht |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Logic Artificial Intelligence (incl. Robotics) Semantics |
| Content Type | Text |
| Resource Type | Article |
| Subject | Philosophy Computer Science Linguistics and Language |
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