Fuzzy-rough nearest neighbour classification

  • Authors:
  • Richard Jensen;Chris Cornelis

  • Affiliations:
  • Dept. of Comp. Sci., Aberystwyth University, Ceredigion, Wales, UK;Dept. of Appl. Math. and Comp. Sci., Ghent University, Gent, Belgium

  • Venue:
  • Transactions on rough sets XIII
  • Year:
  • 2011

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Abstract

A new fuzzy-rough nearest neighbour (FRNN) classification algorithm is presented in this paper, as an alternative to Sarkar's fuzzy-rough ownership function (FRNN-O) approach. By contrast to the latter, our method uses the nearest neighbours to construct lower and upper approximations of decision classes, and classifies test instances based on their membership to these approximations. In the experimental analysis, we evaluate our approach with both classical fuzzy-rough approximations (based on an implicator and a t-norm), as well as with the recently introduced vaguely quantified rough sets. Preliminary results are very good, and in general FRNN outperforms FRNN-O, as well as the traditional fuzzy nearest neighbour (FNN) algorithm.