, Un sous-ensemble flou A de E est défini par une fonction d'appartenance de µ A ` a valeurs dans [0; 1] qui associè a chaqué elément x de E un degré d'appartenance µ A (x)
, pour le cas particulier ou la fonction d'appartenance µ A prend ses valeurs dans {0
, A), l'ensemble desélémentsdeséléments de E pour lesquels le degré d'appartenancè a A n'est pas nul : Supp(A)
, A), l'ensemble desélémentsdeséléments de E pour lesquels le degré d'appartenancè a A estégaìestégaì a 1 : N oy(A)
, From generic knowledge to specific reasoning for medical image interpretation using graph-based representations, Proceedings of the 20th International Joint Conference on Artificial Intelligence, pp.224-229, 2007.
, Improving Online Handwritten Mathematical Expressions Recognition with Contextual Modeling, 2010 12th International Conference on Frontiers in Handwriting Recognition, pp.427-432, 2010.
DOI : 10.1109/ICFHR.2010.73
URL : https://hal.archives-ouvertes.fr/hal-00518458
, Statistical Classification of Spatial Relationships among Mathematical Symbols, 2009 10th International Conference on Document Analysis and Recognition, pp.1350-1354, 2009.
DOI : 10.1109/ICDAR.2009.90
, Reconnaissance de structures bidimensionnelles : Application aux expressions mathématiques manuscrites en-ligne, 2010.
, On the ternary spatial relation "Between", IEEE Transactions on Systems, Man and Cybernetics, Part B (Cybernetics), vol.36, issue.2, pp.312-327, 2006.
DOI : 10.1109/TSMCB.2005.857095
URL : https://hal.archives-ouvertes.fr/hal-01251251
, Fuzzy relative position between objects in image processing : a morphological approach, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.21, issue.7, pp.657-664, 1999.
, Fuzzy Spatial Relationships for Model-Based Pattern Recognition in Images and Spatial Reasoning Under Imprecision, Lecture Notes In Computer Science, p.2955164, 2006.
, Bipolar Fuzzy Mathematical Morphology for Spatial Reasoning, Proceedings of the 9th International Symposium on Mathematical Morphology and Its Application to Signal and Image Processing, p.34, 2009.
, Lattices of fuzzy sets and bipolar fuzzy sets, and mathematical morphology, Information Sciences, vol.181, pp.2002-2015, 2011.
, Fuzzy relative positionning for on-line handwritten stroke analysis, Proceedings of the 10th International Workshop on Frontiers in Handwriting Recognition, pp.391-396, 2006.
, Force histograms and neural networks for human-based spatial relationship generalization, Proceedings of Int. Conf. on Neural Networks and Computational Intelligence, 2004.
, Directional relative position between objects in image processing: a comparison between fuzzy approaches, Pattern Recognition, vol.36, issue.7, pp.1563-1582, 2003.
DOI : 10.1016/S0031-3203(02)00263-7
, Intelligent Systems for Information Processing : From Representation to Applications, chapter On the Representation of Fuzzy Spatial Relations in Robot Maps, 2003.
, Relative Position-Based Spatial Relationships using Mathematical Morphology, 2007 IEEE International Conference on Image Processing, pp.97-100, 2007.
DOI : 10.1109/ICIP.2007.4379101
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.109.156
, Image mining using directional spatial constraints. IEEE Geoscience and Remote Sensing Letters, Special Issue on Image Information Mining : Pursuing Automation of Geospatial Intelligence for Environment and Security, 2009.
, Fuzzy-attribute graph with application to chinese character recognition. Systems, Man and Cybernetics, IEEE Transactions on, vol.22, issue.1, pp.153-160, 1992.
, Integration of fuzzy spatial relations in deformable models???Application to brain MRI segmentation, Pattern Recognition, vol.39, issue.8, pp.391401-1414, 2006.
DOI : 10.1016/j.patcog.2006.02.022
URL : https://hal.archives-ouvertes.fr/hal-00878443
, Comprehensive survey on distance/similarity measures between probability density functions, International Journal of Mathematical Models and Methods in Applied Sciences, vol.1, issue.2, p.1, 2007.
, Bayesian network modeling of strokes and their relationships for on-line handwriting recognition, Pattern Recognition, vol.37, issue.2, pp.253-264, 2004.
DOI : 10.1016/j.patcog.2003.01.001
, Object localization based on directional information case of 2D vector data, Proceedings of the 14th annual ACM international symposium on Advances in geographic information systems , GIS '06, pp.163-170, 2006.
DOI : 10.1145/1183471.1183499
, Visual information processing, chapter On the meeting of semantics and perception, pp.311-381, 1973.
, The space in spatial language, Journal of Memory and Language, vol.51, issue.3, pp.418-436, 2004.
DOI : 10.1016/j.jml.2004.06.004
, Inférence Quantitative des Relations Spatiales Directionnelles, 2002.
, Chinese character recognition: history, status and prospects, Frontiers of Computer Science in China, vol.4, issue.2, pp.126-136, 2007.
DOI : 10.1007/s11704-007-0012-5
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.486.6191
, Tolerant fuzzy pattern matching : An introduction. Fuzziness in Database Management Systems, pp.42-58, 1995.
DOI : 10.1007/978-3-7908-1897-0_3
, Bipolarity in Flexible Querying, Lecture Notes On Artificial Intelligence, pp.174-182, 2002.
DOI : 10.1007/3-540-36109-X_14
URL : https://hal.archives-ouvertes.fr/hal-01212927
, Handling bipolarity in elementary queries to possibilistic databases. Fuzzy Systems, IEEE Transactions on, vol.18, issue.3, pp.599-612, 2010.
, Categorizing binary topological relations between regions, lines, and points in geographic databases, 1991.
, Mathpad: A Fuzzy Logic-Based Recognition System for Handwritten Mathematics, Ninth International Conference on Document Analysis and Recognition (ICDAR 2007) Vol 2, 2007.
DOI : 10.1109/ICDAR.2007.4377004
, The modelling of spatial relations, Computer Graphics and Image Processing, vol.4, issue.2, pp.156-171, 1975.
, Fuzzy spatial relations based on fuzzy morphology, Proc. Sixth IEEE International Conference on Fuzzy Systems, pp.1179-1183, 1997.
, Basic meanings of spatial relations : Computation and evaluation in 3d space, Proceedings of the National Conference on Artificial Intelligence, pp.1393-1393, 1995.
, An empirically validated model for computing spatial relations. KI-95 : Advances in Artificial Intelligence, pp.245-256, 1995.
, Results of the RIMES Evaluation Campaign for Handwritten Mail Processing, 2009 10th International Conference on Document Analysis and Recognition, pp.941-945, 2009.
DOI : 10.1109/ICDAR.2009.224
, ICDAR 2009 Handwriting Recognition Competition, 2009 10th International Conference on Document Analysis and Recognition, pp.1398-1402, 2009.
DOI : 10.1109/ICDAR.2009.184
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.212.2112
, On the recognition of online handwritten mathematics using feature-based fuzzy rules and relationship precedence, 2008 IEEE International Conference on Fuzzy Systems (IEEE World Congress on Computational Intelligence), pp.1641-1646, 2008.
DOI : 10.1109/FUZZY.2008.4630591
, Handwritten word verification by svm-based hypotheses re-scoring and multiple thresholds rejection, 12th International Conference on Frontiers in Handwriting Recognition, pp.57-62, 2010.
, Fuzzy spatial relation ontology for image interpretation. Fuzzy Sets and Systems, pp.1929-1951, 2008.
DOI : 10.1016/j.fss.2008.02.011
URL : https://hal.archives-ouvertes.fr/hal-00824590
, Spatial language and spatial representation, Cognition, vol.55, issue.1, pp.39-84, 1995.
DOI : 10.1016/0010-0277(94)00643-Y
, Cognitive representations of projective prepositions, Proceedings of the Second ACL-Sigsem Workshop of The Linguistic Dimensions of Prepositions and their Use in Computational Linguistic Formalisms and Applications, 2005.
, Fuzzy tolerance relations and relational maps applied to information retrieval. Fuzzy sets and systems, pp.49-61, 2002.
, Statistical Character Structure Modeling and Its Application to Handwritten Chinese Character Recognition, IEEE Transactions on Pattern Analysis and Machine Intelligence, pp.1422-1436, 2003.
, Utilization of hierarchical, stochastic relationship modeling for hangul character recognition. Pattern Analysis and Machine Intelligence, IEEE Transactions on, vol.26, issue.9, pp.1185-1196, 2004.
, How do we judge the acceptability of spatial terms?, 2005 International Conference on Cyberworlds (CW'05), pp.406-412, 2005.
DOI : 10.1109/CW.2005.50
, Top-Down Search with Bottom-Up Evidence for Recognizing Handwritten Mathematical Expressions, 2010 12th International Conference on Frontiers in Handwriting Recognition, pp.507-512, 2010.
DOI : 10.1109/ICFHR.2010.84
, An efficient graph-based recognizer for hand-drawn symbols, Computers & Graphics, vol.31, issue.4, pp.554-567, 2007.
DOI : 10.1016/j.cag.2007.04.007
, Stroke order and stroke number free on-line chinese character recognition using attributed relational graph matching, Proceedings of the 13th International Conference on Pattern Recognition, pp.259-263, 1996.
, Online recognition of chinese characters : the state-of-the-art, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.26, issue.2, pp.198-213, 2004.
, Model-based stroke extraction and matching for handwritten Chinese character recognition, Pattern Recognition, vol.34, issue.12, pp.2339-2352, 2001.
, Spatial attention and the apprehension of spatial relations, Journal of Experimental Psychology : Human Perception and Performance, vol.20, issue.5, p.1015, 1994.
, Language and Space, chapter A Computational Analysis of the Apprehension of Spatial Relations, 1999.
, A complete descriptor of line-segmentpair for symbol recognition, Proceedings of the International Conference on Computer Graphics, pp.89-95, 2009.
, Handling Spatial Information in On-Line Handwriting Recognition, Ninth International Workshop on Frontiers in Handwriting Recognition, pp.14-19, 2004.
DOI : 10.1109/IWFHR.2004.48
URL : https://hal.archives-ouvertes.fr/hal-01497774
, Eager interpretation of on-line hand-drawn structured documents: The DALI methodology, Pattern Recognition, vol.42, issue.12, pp.3202-3214, 2009.
DOI : 10.1016/j.patcog.2008.10.018
, Une approche générique pour la reconnaissance de signauxécrits signauxécrits en ligne Understanding the spatial organization of image regions by means of force histograms : a guided tour, Applying Soft Computing in Defining Spatial Relations of Studies in Fuzziness and Soft Computing, pp.99-122, 2002.
, Bipolar query satisfaction using satisfaction and dissatisfaction degrees, Proceedings of the 2009 ACM symposium on Applied Computing, SAC '09, pp.1699-1703, 2009.
DOI : 10.1145/1529282.1529664
, A new radical-based approach to online handwritten Chinese character recognition, 2008 19th International Conference on Pattern Recognition, 2008.
DOI : 10.1109/ICPR.2008.4761207
, On-Line Handwritten Chinese Character Recognition Based on Nested Segmentation of Radicals, 2009 Chinese Conference on Pattern Recognition, 2009.
DOI : 10.1109/CCPR.2009.5343976
, Automatic learning of symbol descriptions avoiding topological ambiguities, Proceedings of the 3rd Eurographics Workshop on Sketch-Based Interfaces and Modeling, 2006.
URL : https://hal.archives-ouvertes.fr/inria-00104537
, Object Localization Based on Directional Information: Case of 2D Raster Data, 18th International Conference on Pattern Recognition (ICPR'06), pp.142-146, 2006.
DOI : 10.1109/ICPR.2006.879
, Spatial organization in 2D images, Proceedings of 1994 IEEE 3rd International Fuzzy Systems Conference, pp.100-105, 1994.
DOI : 10.1109/FUZZY.1994.343710
, Applying soft computing in defining spatial relations, of Studies in Fuzziness and Soft Computing, 2002.
DOI : 10.1007/978-3-7908-1752-2
, An Adjacency Grammar to Recognize Symbols and Gestures in a Digital Pen Framework, Pattern Recognition and Image Analysis Lecture Notes in Computer Science, vol.3523, pp.25-72, 2005.
DOI : 10.1007/11492542_15
, An Incremental On-line Parsing Algorithm for Recognizing Sketching Diagrams, Ninth International Conference on Document Analysis and Recognition (ICDAR 2007), pp.452-456, 2007.
DOI : 10.1109/ICDAR.2007.4378750
URL : https://hal.archives-ouvertes.fr/inria-00186621
, CROHME2011: Competition on Recognition of Online Handwritten Mathematical Expressions, 2011 International Conference on Document Analysis and Recognition, pp.1497-1500, 2011.
DOI : 10.1109/ICDAR.2011.297
, A new way to represent the relative position between areal objects, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.21, issue.7, pp.634-643, 1999.
DOI : 10.1109/34.777374
, A General Approach to the Fuzzy Modeling of Spatial Relationships, Methods for Handling Imperfect Spatial Information of Studies in Fuzziness and Soft Computing, pp.49-74
DOI : 10.1007/978-3-642-14755-5_3
, The nicicon database of handwritten icons, Proceedings of the 11th International Conference on the Frontiers of Handwriting Recognition, pp.296-301, 2008.
, On-line handwritten kanji recognition based on inter-stroke grammar, Proceedings of the 9th International Conference on Document Analysis and Recognition, pp.1188-1192, 2007.
, Implicit geometric constraint detection in freehand sketches using relative shape histogram, Proceedings of the 4th Eurographics workshop on Sketch-based interfaces and modeling, SBIM '07, pp.107-113, 2007.
DOI : 10.1145/1384429.1384453
, Optimum polygonal approximation of digitized curves, Pattern Recognition Letters, vol.15, issue.8, pp.743-750, 1993.
DOI : 10.1016/0167-8655(94)90002-7
, Word extraction associated with a confidence index for on-line handwritten sentence recognition, International Journal of Pattern Recognition and Artificial Intelligence, vol.23, issue.5, pp.945-966, 2009.
, Qualitative spatial reasoning with topological information, volume 2293, 2002.
, Angle detection on digital curves. Computers, IEEE Transactions on, vol.100, issue.9, pp.875-878, 1973.
, Modelling sequences using pairwise relational features, Pattern Recognition, vol.42, issue.9, pp.1922-1931, 2009.
DOI : 10.1016/j.patcog.2008.11.023
URL : https://hal.archives-ouvertes.fr/hal-01172412
, Modeling on-line handwriting using pairwise relational features, Proceedings of the 10th International Workshop on Frontiers in Handwriting Recognition, pp.267-274, 2006.
DOI : 10.1016/j.patcog.2008.11.023
URL : https://hal.archives-ouvertes.fr/inria-00104883
, Machine recognition of handwritten words : A project report, Pattern Recognition, vol.5, issue.3, pp.213-228, 1973.
, Image Analysis and Mathematical Morphology, 1983.
, Optimal stroke-correspondence search method for on-line character recognition, Pattern recognition letters, vol.23, issue.5, pp.601-608, 2002.
, Mapping natural language to imagery: Placing objects intelligently, 2009 IEEE International Conference on Fuzzy Systems, pp.518-523, 2009.
DOI : 10.1109/FUZZY.2009.5277062
, Symbol recognition using spatial relations, Pattern Recognition Letters, vol.33, issue.3, 2011.
DOI : 10.1016/j.patrec.2011.09.040
, Unified pairwise spatial relations : An application to graphical symbol retrieval, Graphics Recognition. Achievements, Challenges, and Evolution, 2010.
, Using spatial relations for graphical symbol description, Proceedings of the 20th International Conference on Pattern Recognition, 2010.
, On-line graphics recognition : State-of-the-art, Proceedings of the 5th IAPR International Workshop on Graphics Recognition, 2003.
, Optical recognition of handwritten Chinese characters by hierarchical radical matching method, Pattern Recognition, vol.34, issue.1, pp.15-35, 2001.
DOI : 10.1016/S0031-3203(99)00207-1
, Human-based spatial relationship generalization through neural/fuzzy approaches. Fuzzy Sets and Systems, pp.5-20, 1999.
, Using spatial relationships as features in object recognition, Proc. Annual Meeting of the North American Fuzzy Information Processing Society, pp.160-165, 1997.
, R-Histogram, Proceedings of the eleventh ACM international conference on Multimedia , MULTIMEDIA '03, pp.323-326, 2003.
DOI : 10.1145/957013.957082
, Fuzzy object localization based on directional (and distance) information, Proceedings of the 2006 IEEE International Conference on Fuzzy Systems, pp.256-263, 2006.
, Iconic and multi-stroke gesture recognition, Pattern Recognition, vol.42, issue.12, pp.3303-3312, 2009.
, Incorporating contextual character geometry in word recognition, Proceedings of the 8th International Workshop on Frontiers in Handwriting Recognition, pp.123-127, 2002.
, Intuitionistic fuzzy aggregation operators. Fuzzy Systems, IEEE Transactions on, vol.15, issue.6, pp.1179-1187, 2007.
, An online composite graphics recognition approach based on matching of spatial relation graphs, Document Analysis and Recognition, vol.7, issue.1, pp.44-55, 2004.
DOI : 10.1007/s10032-004-0126-3
, Integrating Geometric Context for Text Alignment of Handwritten Chinese Documents, 2010 12th International Conference on Frontiers in Handwriting Recognition, pp.7-12, 2010.
DOI : 10.1109/ICFHR.2010.9
, Fuzzy Sets, Information and Control, vol.8, pp.338-353, 1965.
, Fuzzy sets as a basis for a theory of possibility, International Journal on Fuzzy Sets and Systems, vol.1, issue.1, pp.3-28, 1978.
, Recognizing mathematical expressions using tree transformation, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.24, issue.11, pp.1455-1467, 2002.
DOI : 10.1109/TPAMI.2002.1046157
, Using fuzzy logic to analyze superscript and subscript relations in handwritten mathematical expressions, Eighth International Conference on Document Analysis and Recognition (ICDAR'05), pp.972-976, 2005.
DOI : 10.1109/ICDAR.2005.250
, Recognizing on-line handwritten Chinese character via FARG matching, Proceedings of the Fourth International Conference on Document Analysis and Recognition, pp.621-624, 1997.
DOI : 10.1109/ICDAR.1997.620578
, Markov Random Field-Based Statistical Character Structure Modeling for Handwritten Chinese Character Recognition, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.30, issue.5, pp.767-780, 2008.
DOI : 10.1109/TPAMI.2007.70734
, On-line handwritten japanese character string recognition incorporating geometric context, Proceedings of the 9th International Conference on Document Analysis and Recognition, pp.48-52, 2007.
, A robust model for on-line handwritten japanese text recognition, International Journal on Document Analysis and Recognition (IJDAR), vol.22, issue.12, pp.121-131, 2010.
DOI : 10.1007/s10032-009-0111-y
, Learning of fuzzy spatial relations between handwritten patterns, International Journal on Data Mining, Modelling and Management, Special issue on Pattern Recognition, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00735545
, Fuzzy Relative Positioning Templates for Symbol Recognition, Proceedings of the 11th International Conference on Document Analysis and Recognition (ICDAR'11), pp.1220-1224, 2011.
, Evaluation of Continous Marking Menus for Learning Cursive Pen-based Commands, Proceedings of the 15th conference of the International Graphonomics Society (IGS'11), pp.217-220, 2011.
, Continuous marking menus for learning cursive pen-based gestures, Proceedings of the 15th international conference on Intelligent user interfaces, IUI '11, pp.319-322, 2011.
DOI : 10.1145/1943403.1943455
URL : https://hal.archives-ouvertes.fr/inria-00567330
, Learning Spatial Relationships in hand-drawn Patterns using fuzzy Mathematical Morphology, Proceedings of the International Conference on Soft Computing for Pattern Recognition (SoCPaR'10), pp.162-167, 2010.
, Special Radical Detection by Statistical Classification for Online Handwritten Chinese Character Recognition, Proceedings of the International Conference on Frontiers in Handwriting Recognition (ICFHR'10), pp.501-506, 2010.
, Explicit Fuzzy Modeling of Shapes and Positioning for Handwritten Chinese Character Recognition, 2009 10th International Conference on Document Analysis and Recognition, pp.1125-1129, 2009.
DOI : 10.1109/ICDAR.2009.141
URL : https://hal.archives-ouvertes.fr/inria-00399305
, Modeling Relative Positioning of Handwritten Patterns, Proceedings of the 14th conference of the International Graphonomics Society, 2009.
, Hybrid statistical-structural recognition of Chinese characters with Fuzzy Inference System, Proccedings of the 19th International Conference on Pattern Recognition (ICPR'08), 2008.
, Modélisation du positionnement relatif de tracés manuscrits par morphologie mathématique floue, dans Actes du 17ème Congrès Francophone de Reconnaissance des Formes et d'Intelligence Artificielle (RFIA'10), 2010.
, Apprentissage de relations spatiales floues pour la reconnaissance de tracés manuscrits dans Actes du 5` eme l'atelier Représentation et Raisonnement sur le Temps et l'Espace (RTE'10), pp.9-12, 2010.
, Vers une approche générique pour la reconnaissance de formes manuscrites structurées : application auxéquationsauxéquations mathématiques et aux caractères chinois, dans Actes du 11ème Colloque International Francophone sur l'Ecrit et le Document (CIFED'10), pp.297-312, 2010.
, Reconnaissance hybride statistiquestructurelle de sinogrammes par Système d'Inférence Floue, dans Actes du 10ème Colloque International Francophone sur l'Ecrit et le Document (CI- FED'08), pp.49-54, 2008.