LIP6 2001/002
- Thesis
Opérateurs Mathématiques d'Agrégation et leur Application à la Recherche d'Information dans la Vidéo - M. Detyniecki
- 188 pages - 11/24/2000- document en - http://www.lip6.fr/lip6/reports/2001/lip6.2001.002.pdf - 863 Ko
- Contact : Marcin.Detyniecki (at) nulllip6.fr, marcin (at) nulleecs.berkeley.edu
- Ancien Thème : APA
- Keywords : Aggregation, Data Fusion, Mathematical Operators, Fuzzy logic,Truth and
Falsity, Balance Metaphor, Multimedia, Video, Query - Publisher : Valerie.Mangin (at) nulllip6.fr
In this manuscript we present the mathematical aggregation operators and their application to the video querying. This work is divided in three parts. The first one offers the definition of mathematical aggregation operators and some properties, followed by an extensive overview of the existing operators.
The second part is dedicated to the study of the aggregation under uncertainty. We present a deep study on t-norms and t-conorms, pursued by a study on aggregation of truth and falsity values in non-phrase calculus way. We also introduce a non-axiomatic way, based on the metaphor of a balance, which in the one hand allows the visualization of the global behavior and of the sensitivity of an operator and in the other hand offers a guide for the construction of additive generated operators.
The third part is devoted to the illustration of the theoretical results in the framework of video querying. We expound two complementary approaches. The first one based on "computing with words" explains how to browse a video with temporal queries. The second one makes obvious how to aggregate criteria pointing to the same conclusion. We prove the feasibility of the approach with real search engine and we expound the used technology (Java, XML, etc.)
The second part is dedicated to the study of the aggregation under uncertainty. We present a deep study on t-norms and t-conorms, pursued by a study on aggregation of truth and falsity values in non-phrase calculus way. We also introduce a non-axiomatic way, based on the metaphor of a balance, which in the one hand allows the visualization of the global behavior and of the sensitivity of an operator and in the other hand offers a guide for the construction of additive generated operators.
The third part is devoted to the illustration of the theoretical results in the framework of video querying. We expound two complementary approaches. The first one based on "computing with words" explains how to browse a video with temporal queries. The second one makes obvious how to aggregate criteria pointing to the same conclusion. We prove the feasibility of the approach with real search engine and we expound the used technology (Java, XML, etc.)