Preference modeling by rectangular bilattices. (English) Zbl 1235.68231
Torra, Vincenç (ed.) et al., Modeling decisions for artificial intelligence. Third international conference, MDAI 2006, Tarragona, Spain, April 3–5, 2006. Proceedings. Berlin: Springer (ISBN 3-540-32780-0/pbk). Lecture Notes in Computer Science 3885. Lecture Notes in Artificial Intelligence, 22-33 (2006).
Summary: Many realistic decision aid problems are fraught with facets of ambiguity, uncertainty and conflict, which hamper the effectiveness of conventional and fuzzy preference modeling approaches, and command the use of more expressive representations. In the past, some authors have already identified Ginsberg’s/Fitting’s theory of bilattices as a naturally attractive candidate framework for representing uncertain and potentially conflicting preferences, yet none of the existing approaches addresses the real expressive power of bilattices, which lies hidden in their associated truth and knowledge orders. As a consequence, these approaches have to incorporate additional conventions and ‘tricks’ into their modus operandi, making the results unintuitive and/or tedious. By contrast, the aim of this paper is to demonstrate the potential of (rectangular) bilattices in encoding not just the problem statement, but also its generic solution strategy.
For the entire collection see [Zbl 1096.68008].
For the entire collection see [Zbl 1096.68008].
MSC:
| 68T37 | Reasoning under uncertainty in the context of artificial intelligence |
| 03G10 | Logical aspects of lattices and related structures |
| 06B75 | Generalizations of lattices |
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