The study of fuzzy context sequences

This is an accepted manuscript of an article published by Taylor & Francis in International Journal of Computational Intelligence Systems in 2013, available online: http://wwww.tandfonline.com/ 10.1080/18756891.2013.781337.In some cases, the relationship between an object set X and an attribute set Y is set up by means of a fuzzy context sequence. A particular case of this situation appears when we want to study the evolution of an L-fuzzy context in time. In this work, we analyze these situations. First we introduce the fuzzy context sequence definition and remind the main results about OWA operators. With the aid of these operators, we propose an exhaustive study of the different contexts values of the sequence using some new relations. In the second part, we also study the fuzzy context sequences establishing tendencies and temporal patterns. Finally, we illustrate all the results by means of examples.This paper is partially supported by the Group of research of the Public University of Navarra "Adquisición de conocimiento y minería de datos, funciones especiales y métodos numéricos avanzados" and by the Research Group “Intelligent Systems and Energy (SI+E)” of the Basque Government, under Grant IT519-10