Archetypal Symbolic Objects

Symbolic Data Analysis has represented an important innovation in statistics since its first presentation by E. Diday in the late 1980s. Most of the interest has been for the statistical analysis of Symbolic Data that represent complex data structure where variables can assume more than just a single value. Thus, Symbolic Data allow to describe classes of statistical units as a whole. Furthermore, other entities can be defined in the realm of Symbolic data. These entities are the Symbolic objects, defined in terms of the relationships between two different knowledge levels. This article aims at introducing a new type of SO based on the archetypal analysis.

[1]  Giancarlo Ragozini,et al.  On the use of archetypes as benchmarks , 2008 .

[2]  Monique Noirhomme-Fraiture,et al.  Symbolic Data Analysis and the SODAS Software , 2008 .

[3]  Richard T. Carson,et al.  Archetypal analysis: a new way to segment markets based on extreme individuals , 2003 .

[4]  Leigh Morris,et al.  Consumer Archetypes: A New Approach to Developing Consumer Understanding Frameworks , 2006, Journal of Advertising Research.

[5]  L. Finesso,et al.  Matrix factorization methods: Application to thermal NDT/E , 2006 .

[6]  Giancarlo Ragozini,et al.  Exploring Data Through Archetypes , 2010 .

[7]  S. Marinetti,et al.  Archetypes and principal components of an IR image sequence , 2007 .

[8]  Edwin Diday,et al.  Synthesis of Objects , 2011 .

[9]  Hans-Hermann Bock,et al.  Analysis of Symbolic Data: Exploratory Methods for Extracting Statistical Information from Complex Data , 2000 .

[10]  M. R. D’Esposito,et al.  G. RAGOZINI, A new R-ordering procedure to rank multivariate performances , 2008 .

[11]  Giancarlo Ragozini,et al.  ARCHETYPAL ANALYSIS FOR INTERVAL DATA IN MARKETING RESEARCH 1 , 2006 .

[12]  Edwin Diday.  Introduction à l'approche symbolique en analyse des données , 1989 .

[13]  Hans-Hermann Bock,et al.  Analysis of Symbolic Data , 2000 .

[14]  Giancarlo Ragozini,et al.  Interval Archetypes: A New Tool for Interval Data Analysis , 2012, Stat. Anal. Data Min..

[15]  R. B. Kearfott.  Rigorous Global Search: Continuous Problems , 1996 .

[16]  Marina Marino,et al.  Archetypal Analysis of Interval Data , 2010, Reliab. Comput..