Fuzzy bipolar mathematical morphology: a general algebraic setting. (English) Zbl 1339.68248
Soille, Pierre (ed.) et al., Mathematical morphology and its applications to image and signal processing. 10th international symposium, ISMM 2011, Verbania-Intra, Italy, July 6–8, 2011. Proceedings. Berlin: Springer (ISBN 978-3-642-21568-1/pbk). Lecture Notes in Computer Science 6671, 13-24 (2011).
Summary: Bipolar information is an important component in information processing, to handle both positive information (e.g., preferences) and negative information (e.g., constraints) in an asymmetric way. In this paper, a general algebraic framework is proposed to handle such information using mathematical morphology operators, leading to results that apply to any partial ordering.
For the entire collection see [Zbl 1217.68018].
For the entire collection see [Zbl 1217.68018].
MSC:
| 68T37 | Reasoning under uncertainty in the context of artificial intelligence |
| 03E72 | Theory of fuzzy sets, etc. |
| 06A06 | Partial orders, general |
| 06B99 | Lattices |
| 68U05 | Computer graphics; computational geometry (digital and algorithmic aspects) |
