On Fuzzy Spatial Distances

[1]  Nehad N. Morsi,et al.  Fuzzy proximities induced by functional fuzzy separation , 1994 .

[2]  Lynn Nadel,et al.  The Psychobiology of Spatial Behavior: The Hippocampal Formation and Spatial Mapping , 1995 .

[3]  Mark Gahegan,et al.  Proximity Operators for Qualitative Spatial Reasoning , 1995, COSIT.

[4]  Shyi-Ming Chen,et al.  A comparison of similarity measures of fuzzy values , 1995 .

[5]  Isabelle Bloch,et al.  Fuzzy morphisms between graphs , 2002, Fuzzy Sets Syst..

[6]  John Freeman,et al.  The modelling of spatial relations , 1975 .

[7]  Christian Cuxac,et al.  Iconicity in Sign Language: A Theoretical and Methodological Point of View , 2001, Gesture Workshop.

[8]  Martine De Cock,et al.  On (un)suitable fuzzy relations to model approximate equality , 2003, Fuzzy Sets Syst..

[9]  A. Siegel,et al.  The development of spatial representations of large-scale environments. , 1975, Advances in child development and behavior.

[10]  Isabelle Bloch,et al.  On fuzzy distances and their use in image processing under imprecision , 1999, Pattern Recognit..

[11]  Alain Berthoz,et al.  Influence of a sensorimotor conflict on the memorization of a path traveled in virtual reality. , 2002, Brain research. Cognitive brain research.

[12]  F. J. Langdon,et al.  The Child's Conception of Space , 1967 .

[13]  R. Hart,et al.  The Development of Spatial Cognition: A Review. , 1973 .

[14]  Isabelle Bloch,et al.  Geodesic balls in a fuzzy set and fuzzy geodesic mathematical morphology , 2000, Pattern Recognit..

[15]  Donna J. Peuquet,et al.  Representations of Geographic Space: Toward a Conceptual Synthesis , 1988 .

[16]  H. Prade,et al.  FUZZY PATTERN MATCHING , 1982 .

[17]  S. Chatterjee,et al.  Similarity measures for image databases , 1995, Proceedings of 1995 IEEE International Conference on Fuzzy Systems..

[18]  Jiming Liu,et al.  A Method of Spatial Reasoning Based on Qualitative Trigonometry , 1998, Artif. Intell..

[19]  Benjamin Kuipers,et al.  Navigation and Mapping in Large Scale Space , 1988, AI Mag..

[20]  Nikhil R. Pal,et al.  Some new information measures for fuzzy sets , 1993, Inf. Sci..

[21]  James M. Keller,et al.  Quantitative analysis of properties and spatial relations of fuzzy image regions , 1993, IEEE Trans. Fuzzy Syst..

[22]  Benjamin Kuipers,et al.  The Spatial Semantic Hierarchy , 2000, Artif. Intell..

[23]  H. Pick,et al.  Spatial orientation : theory, research, and application , 1984 .

[24]  Isabelle Bloch,et al.  Fuzzy Morphology and Fuzzy Distances: New Definitions and Links in both Euclidean and Geodesic Cases , 1997, Fuzzy Logic in Artificial Intelligence.

[25]  David M. Mark,et al.  Cognitive and Linguistic Aspects of Geographic Space: New Perspectives on Geographic Information Research , 1991 .

[26]  H. Poincaré La science et l'hypothèse , 1968 .

[27]  Ulrich Bodenhofer,et al.  A note on approximate equality versus the Poincaré paradox , 2003, Fuzzy Sets Syst..

[28]  Ronald R. Yager,et al.  Entropy measures under similarity relations , 1992 .

[29]  O. Stock Spatial and Temporal Reasoning , 1899 .

[30]  Zhi-Qiang Liu,et al.  A contextual fuzzy cognitive map framework for geographic information systems , 1999, IEEE Trans. Fuzzy Syst..

[31]  Soumitra Dutta,et al.  Approximate spatial reasoning: Integrating qualitative and quantitative constraints , 1991, Int. J. Approx. Reason..

[32]  Eliseo Clementini,et al.  Qualitative Representation of Positional Information , 1997, Artif. Intell..

[33]  Weixin Xie,et al.  Fuzzy pyramid-based invariant object recognition , 1994, Pattern Recognit..

[34]  Settimo Termini,et al.  A Definition of a Nonprobabilistic Entropy in the Setting of Fuzzy Sets Theory , 1972, Inf. Control..

[35]  Bernadette Bouchon-Meunier,et al.  Towards general measures of comparison of objects , 1996, Fuzzy Sets Syst..

[36]  Isabelle Bloch,et al.  Fuzzy Adjacency between Image Objects , 1997, Int. J. Uncertain. Fuzziness Knowl. Based Syst..

[37]  C. Pappis,et al.  A comparative assessment of measures of similarity of fuzzy values , 1993 .

[38]  Daniel P. Huttenlocher,et al.  Comparing Images Using the Hausdorff Distance , 1993, IEEE Trans. Pattern Anal. Mach. Intell..

[39]  Isabelle Bloch,et al.  Modal Logics Based on Mathematical Morphology for Qualitative Spatial Reasoning , 2002, J. Appl. Non Class. Logics.

[40]  K. Sridharan,et al.  Fuzzy distances for proximity characterization under uncertainty , 1999, Fuzzy Sets Syst..

[41]  L. Vieu Spatial Representation and Reasoning in Artificial Intelligence , 1997 .

[42]  Isabelle Bloch,et al.  Inexact graph matching by means of estimation of distribution algorithms , 2002, Pattern Recognit..

[43]  Robert Lowen,et al.  Distances between fuzzy sets representing grey level images , 1998, Fuzzy Sets Syst..

[44]  M. Puri,et al.  Differentials of fuzzy functions , 1983 .

[45]  Valerie Cross,et al.  A mathematical relationship between set-theoretic and metric compatibility measures , 1995, Proceedings of 3rd International Symposium on Uncertainty Modeling and Analysis and Annual Conference of the North American Fuzzy Information Processing Society.

[46]  M L Puri,et al.  DIFFÉRENTIELLE D'UNE FONCTION FLOUE , 1981 .

[47]  H. Lee-Kwang,et al.  Similarity measure between fuzzy sets and between elements , 1994 .

[48]  L. Kohout,et al.  FUZZY POWER SETS AND FUZZY IMPLICATION OPERATORS , 1980 .

[49]  Anca L. Ralescu,et al.  Spatial organization in 2D segmented images: representation and recognition of primitive spatial relations , 1994, CVPR 1994.

[50]  Laure Vieu,et al.  Toward a Geometry of Common Sense: A Semantics and a Complete Axiomatization of Mereotopology , 1995, IJCAI.

[51]  Peter Gärdenfors,et al.  Conceptual spaces - the geometry of thought , 2000 .

[52]  Azriel Rosenfeld,et al.  The fuzzy geometry of image subsets , 1984, Pattern Recognit. Lett..

[53]  R. Goetschel,et al.  Topological properties of fuzzy numbers , 1983 .

[54]  Pei-Zhuang Wang,et al.  Sequential representation of fuzzy similarity relations , 1994 .

[55]  Daniel R. Montello,et al.  Scale and Multiple Psychologies of Space , 1993, COSIT.

[56]  Didier Dubois,et al.  A Glance at Non-Standard Models and Logics of Uncertainty and Vagueness , 1993 .

[57]  Alessandro Saffiotti,et al.  Using fuzzy sets to represent uncertain spatial knowledge in autonomous robots , 1999, Spatial Cogn. Comput..

[58]  A. Kandel,et al.  Fuzzy sets, fuzzy algebra, and fuzzy statistics , 1978, Proceedings of the IEEE.

[59]  Vijay K. Rohatgi,et al.  Advances in Fuzzy Set Theory and Applications , 1980 .

[60]  Lotfi A. Zadeh,et al.  Fuzzy sets and information granularity , 1996 .

[61]  Andrew U. Frank,et al.  Qualitative Spatial Reasoning with Cardinal Directions , 1991, ÖGAI.

[62]  Isabelle Bloch Fuzzy Geodesic Distance in Images , 1995, Fuzzy Logic in Artificial Intelligence.

[63]  Zhi-Qiang Liu,et al.  Contextual fuzzy cognitive map for decision support in geographic information systems , 1999, IEEE Trans. Fuzzy Syst..

[64]  Peter E. Maher A similarity measure for conceptual graphs , 1993, Int. J. Intell. Syst..

[65]  Hans W. Guesgen,et al.  Imprecise reasoning in geographic information systems , 2000, Fuzzy Sets Syst..

[66]  J.C.H. Poon,et al.  A fuzzy-attributed graph approach to handwritten character recognition , 1993, [Proceedings 1993] Second IEEE International Conference on Fuzzy Systems.

[67]  Jérôme Lang,et al.  Towards mathematical morpho-logics , 2002 .

[68]  Didier Dubois,et al.  A review of fuzzy set aggregation connectives , 1985, Inf. Sci..

[69]  Jordi Recasens,et al.  One-dimensional indistinguishability operators , 2000, Fuzzy Sets Syst..

[70]  Peter Braß On the nonexistence of Hausdorff-like metrics for fuzzy sets , 2002, Pattern Recognit. Lett..

[71]  Jean-Louis Dessalles Aux origines du langage , 2000 .

[72]  James M. Keller,et al.  A Fuzzy Rule-Based Approach to Scene Description Involving Spatial Relationships , 2000, Comput. Vis. Image Underst..

[73]  Anca L. Ralescu,et al.  Using imprecise environment information for guiding scene interpretation , 1997, Fuzzy Sets Syst..

[74]  Leonard Talmy,et al.  How Language Structures Space , 1983 .

[75]  Lotfi A. Zadeh,et al.  Similarity relations and fuzzy orderings , 1971, Inf. Sci..

[76]  Eliseo Clementini,et al.  Approximate topological relations , 1997, Int. J. Approx. Reason..

[77]  Marie-Christine Jaulent,et al.  A general approach to parameter evaluation in fuzzy digital pictures , 1987, Pattern Recognit. Lett..

[78]  Andrew U. Frank,et al.  Qualitative spatial reasoning about distances and directions in geographic space , 1992, J. Vis. Lang. Comput..

[79]  Raimondo Schettini,et al.  Fuzzy reasoning approach to similarity evaluation in image analysis , 1993, Int. J. Intell. Syst..

[80]  Isabelle Bloch,et al.  Fuzzy Relative Position Between Objects in Image Processing: A Morphological Approach , 1999, IEEE Trans. Pattern Anal. Mach. Intell..

[81]  M. Denis,et al.  Spatial discourse and navigation: an analysis of route directions in the city of Venice , 1999 .

[82]  Alain Berthoz,et al.  Does mental simulation of following a path improve navigation performance without vision? , 2003, Brain research. Cognitive brain research.

[83]  Max J. Cresswell,et al.  A New Introduction to Modal Logic , 1998 .

[84]  D. Dubois,et al.  Weighted fuzzy pattern matching , 1988 .

[85]  Azriel Rosenfeld,et al.  On a metric distance between fuzzy sets , 1996, Pattern Recognit. Lett..

[86]  Vladimír Janis,et al.  Resemblance is a nearness , 2003, Fuzzy Sets Syst..

[87]  Isabelle Bloch,et al.  Fuzzy relative position between objects in images: a morphological approach , 1996, Proceedings of 3rd IEEE International Conference on Image Processing.

[88]  Azriel Rosenfeld,et al.  Distances between fuzzy sets , 1985, Pattern Recognit. Lett..

[89]  Benjamin Kuipers,et al.  Modeling Spatial Knowledge , 1978, IJCAI.

[90]  Gian Antonio Mian,et al.  Normalized weighted Levensthein distance and triangle inequality in the context of similarity discrimination of bilevel images , 1996, Pattern Recognit. Lett..

[91]  Nikhil R. Pal,et al.  Fuzzy divergence, probability measure of fuzzy events and image thresholding , 1992, Pattern Recognit. Lett..

[92]  Weixin Xie,et al.  Some notes on similarity measure and proximity measure , 1999, Fuzzy Sets Syst..

[93]  S. Bricogne,et al.  Neural Correlates of Topographic Mental Exploration: The Impact of Route versus Survey Perspective Learning , 2000, NeuroImage.

[94]  Christian Cuxac,et al.  French Sign Language: Proposition of a Structural Explanation by Iconicity , 1999, Gesture Workshop.

[95]  Claude Vandeloise,et al.  L'espace en français : sémantique des prépositions spatiales , 1988 .

[96]  J. Kacprzyk,et al.  Technologies for constructing intelligent systems: Tasks , 2002 .

[97]  Anthony G. Cohn,et al.  A Spatial Logic based on Regions and Connection , 1992, KR.

[98]  James F. Allen Maintaining knowledge about temporal intervals , 1983, CACM.

[99]  Roberto Marcondes Cesar Junior,et al.  Inexact graph matching using stochastic optimization techniques for facial feature recognition , 2002, Object recognition supported by user interaction for service robots.

[100]  Jean Serra,et al.  Image Analysis and Mathematical Morphology , 1983 .

[101]  Solomon Kullback,et al.  Information Theory and Statistics , 1960 .

[102]  Rami Zwick,et al.  Measures of similarity among fuzzy concepts: A comparative analysis , 1987, Int. J. Approx. Reason..

[103]  Isabelle Bloch,et al.  Fuzzy mathematical morphologies: A comparative study , 1995, Pattern Recognit..

[104]  Thierry Denoeux,et al.  Multidimensional scaling of fuzzy dissimilarity data , 2002, Fuzzy Sets Syst..

[105]  Dionís Boixader,et al.  On the relationship between T-transitivity and approximate equality , 2003, Fuzzy Sets Syst..

[106]  James M. Keller,et al.  Comparison of spatial relation definitions in computer vision , 1995, Proceedings of 3rd International Symposium on Uncertainty Modeling and Analysis and Annual Conference of the North American Fuzzy Information Processing Society.

[107]  Wen-June Wang,et al.  New similarity measures on fuzzy sets and on elements , 1997, Fuzzy Sets Syst..

[108]  L. Talmy Toward a Cognitive Semantics , 2003 .

[109]  Tadeusz Gerstaenkorn,et al.  Correlation of intuitionistic fuzzy sets , 1991 .

[110]  B. Baets,et al.  A comparative study of similarity measures , 1995 .

[111]  E. Dougherty,et al.  Fuzzification of set inclusion: theory and applications , 1993 .

[112]  Punam K. Saha,et al.  Fuzzy Distance Transform: Theory, Algorithms, and Applications , 2002, Comput. Vis. Image Underst..

[113]  Greg Restall Logic: An Introduction , 2005 .

[114]  Achille C. Varzi Parts, Wholes, and Part-Whole Relations: The Prospects of Mereotopology , 1996, Data Knowl. Eng..

[115]  Geoffrey Edwards,et al.  Geocognostics - A New Framework for Spatial Information Theory , 1997, COSIT.

[116]  Anthony G. Cohn,et al.  Representing and Reasoning with Qualitative Spatial Relations About Regions , 1997 .

[117]  Laurent Mascarilla Rule extraction based on neural networks for satellite image interpretation , 1994, Remote Sensing.

[118]  Klaus-Peter Gapp Basic Meanings of Spatial Relations: Computation and Evaluation in 3D Space , 1994, AAAI.

[119]  Isabelle Bloch,et al.  Representation and fusion of heterogeneous fuzzy information in the 3D space for model-based structural recognition--Application to 3D brain imaging , 2003, Artif. Intell..

[120]  Laurence Boxer,et al.  On Hausdorff-like metrics for fuzzy sets , 1997, Pattern Recognit. Lett..

[121]  Janet Aisbett,et al.  A general formulation of conceptual spaces as a meso level representation , 2001, Artif. Intell..

[122]  Mark Blades,et al.  The Development of the Abilities Required to Understand Spatial Representations , 1991 .

[123]  H. Potoczny On similarity relations in fuzzy relational databases , 1984 .

[124]  R. Downs,et al.  Image and Environment: Cognitive Mapping and Spatial Behavior , 2017 .

[125]  Frank Klawonn,et al.  Should fuzzy equality and similarity satisfy transitivity? Comments on the paper by M. De Cock and E. Kerre , 2003, Fuzzy Sets Syst..

[126]  E. Walker Fuzzy relations for feature-model correspondence in 3D object recognition , 1996, Proceedings of North American Fuzzy Information Processing.

[127]  Chin-Chen Chang,et al.  A Spatial Filter for Similarity Retrieval , 1996, Int. J. Pattern Recognit. Artif. Intell..

[128]  Didier Dubois,et al.  Fuzzy sets and systems ' . Theory and applications , 2007 .

[129]  Peter Gärdenfors,et al.  Reasoning about Categories in Conceptual Spaces , 2001, IJCAI.

[130]  A. Tversky Features of Similarity , 1977 .

[131]  Lotfi A. Zadeh,et al.  The Concepts of a Linguistic Variable and its Application to Approximate Reasoning , 1975 .

[132]  B. Bouchon-Meunier,et al.  Entropy of similarity relations in questionnaires and decision trees , 1993, [Proceedings 1993] Second IEEE International Conference on Fuzzy Systems.

[133]  Lucien Duckstein,et al.  Comparison of fuzzy numbers using a fuzzy distance measure , 2002, Fuzzy Sets Syst..

[134]  Jiu-lun Fan Note on Hausdorff-like metrics for fuzzy sets , 1998, Pattern Recognit. Lett..

[135]  Martine De Cock,et al.  Why fuzzy -equivalence relations do not resolve the Poincaré paradox, and related issues , 2003, Fuzzy Sets Syst..