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Bertran i Roura, Xavier
Clara i Lloret, NarcÃs Ferrer i Comalat, Joan Carles 

2007  
One main assumption in the theory of rough sets applied to information tables is that the elements that exhibit the same information are indiscernible (similar) and form blocks that can be understood as elementary granules of knowledge about the universe. We propose a variant of this concept defining a measure of similarity between the elements of the universe in order to consider that two objects can be indiscernible even though they do not share all the attribute values because the knowledge is partial or uncertain. The set of similarities define a matrix of a fuzzy relation satisfying reflexivity and symmetry but transitivity thus a partition of the universe is not attained. This problem can be solved calculating its transitive closure what ensure a partition for each level belonging to the unit interval [0,1]. This procedure allows generalizing the theory of rough sets depending on the minimum level of similarity accepted. This new point of view increases the rough character of the data because increases the set of indiscernible objects. Finally, we apply our results to a not real application to be capable to remark the differences and the improvements between this methodology and the classical one  
application/pdf  
11360593  
http://hdl.handle.net/10256/9372  
eng  
SIGEF. Facultat de CiÃ¨ncies EconÃ²miques i Empresarials  
ReproducciÃ³ digital del document publicat a: http://search.proquest.com/docview/229091806 Articles publicats (DEM) 

Â© Fuzzy Economic Review, 2007, vol.12, nÃºm. 2, p.7584  
Tots els drets reservats  
Conjunts borrosos
Fuzzy sets Conjunts aproximats Rough sets 

Extending the roughness of the data via transitive closures of similarity indexes  
info:eurepo/semantics/article  
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