An algebraic study of the notion of independence of frames






Fabio Cuzzolin
STATUS: submitted to IGI Publishing, Mathematics of Uncertainty Modeling in the Analysis of Engineering and Science Problems, October 2012
Abstract

In this paper we discuss the notion of independence of frames in the theory of evidence from an algebraic point of view, starting from an analogy with standard linear independence. Families of frames can be given several algebraic interpretations in terms of semi-modular lattices, matroids, and geometric lattices. Each of those structures are endowed with a particular (extended) independence relation, which we prove to be distinct albeit related to independence of frames.
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BibTeX entry

@incollection{cuzzolin13igi, 
  AUTHOR = "Fabio Cuzzolin", 
  TITLE = "An algebraic study of the notion of independence of frames",
  JOURNAL = "submitted to IGI Publishing", 
  YEAR = "2013" 
}