A General Framework for Naming Qualitative Models Based on Intervals

In qualitative spatial and temporal reasoning we can distinguish between comparing and naming magnitudes. In particular, naming qualitative models allow humans to express spatio-temporal concepts such as “That horse is really fast”. In colloquial terms, naming concepts are called relative. In this paper we present a general framework to solve the representation magnitude and a general algorithm to solve the basic step of inference process of qualitative models based on intervals. The general method is based on the definition of two algorithms: the qualitative sum and the qualitative difference.

[1]  Honghai Liu,et al.  A Fuzzy Qualitative Framework for Connecting Robot Qualitative and Quantitative Representations , 2008, IEEE Transactions on Fuzzy Systems.

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

[3]  Anthony G. Cohn,et al.  Qualitative Spatial Representation and Reasoning: An Overview , 2001, Fundam. Informaticae.

[4]  Christoph Schlieder,et al.  The Psychological Validity of Qualitative Spatial Reasoning in One Dimension , 2004, Spatial Cogn. Comput..

[5]  S. Levinson Space in language and cognition , 2003 .

[6]  Christian Freksa,et al.  On the utilization of spatial structures for cognitively plausible and efficient reasoning , 1992, [Proceedings] 1992 IEEE International Conference on Systems, Man, and Cybernetics.

[7]  Ross D. King,et al.  On the use of qualitative reasoning to simulate and identify metabolic pathway , 2005, Bioinform..

[8]  S. Levinson Space in language and cognition: Explorations in cognitive diversity , 2003 .

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

[10]  Elisabet Golobardes,et al.  Topics in Artificial Intelligence , 2002, Lecture Notes in Computer Science.

[11]  Daniel Hernández,et al.  Qualitative Representation of Spatial Knowledge , 1994, Lecture Notes in Computer Science.

[12]  Christian Freksa,et al.  Using Orientation Information for Qualitative Spatial Reasoning , 1992, Spatio-Temporal Reasoning.

[13]  Eugenia Cioaca,et al.  A qualitative reasoning model of algal bloom in the Danube Delta Biosphere Reserve (DDBR) , 2009, Ecol. Informatics.

[14]  Clemens Holzmann Rule-based reasoning about qualitative spatiotemporal relations , 2007, MPAC '07.

[15]  Andrew U. Frank,et al.  Theories and Methods of Spatio-Temporal Reasoning in Geographic Space , 1992, Lecture Notes in Computer Science.

[16]  F Guerrin,et al.  Knowledge representation and qualitative simulation of salmon redd functioning. Part I: qualitative modeling and simulation. , 2001, Bio Systems.

[17]  Anthony G. Cohn,et al.  Qualitative Reasoning , 1987, Advanced Topics in Artificial Intelligence.

[18]  A. Cohn,et al.  A qualitative trajectory calculus as a basis for representing moving objects in Geographical Information Systems , 2006 .

[19]  Bert Bredeweg,et al.  Modelling population and community dynamics with qualitative reasoning , 2006 .

[20]  M. Teresa Escrig,et al.  Qualitative Velocity , 2002, CCIA.