Representation of uncertain multichannel digital signal spaces and study of pattern recognition based on metrics and difference values on fuzzy n-cell number spaces

  • Authors:

  • Guixiang Wang;Peng Shi;Paul Messenger

  • Affiliations:

  • Institute of Operational Research and Cybernetics, Hangzhou Dianzi University, Hangzhou, China;Dept. of Comp. and Mathematical Sci., Univ. of Glamorgan, Pontypridd, U.K. Inst. for Logistics and Supply Chain Management, Sch. of Sci. and Eng., Victoria Univ., Melbourne, VIC. Sch. of Mathemati ...;Department of Computing and Mathematical Sciences, University of Glamorgan, Pontypridd, U.K.

  • Venue:
  • IEEE Transactions on Fuzzy Systems
  • Year:
  • 2009

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Abstract

In this paper, we discuss the problem of characterization for uncertain multichannel digital signal spaces, propose using fuzzy n-cell number space to represent uncertain n-channel digital signal space, and put forward amethod of constructing such fuzzy n-cell numbers. We introduce two new metrics and concepts of certain types of difference values on fuzzy n-cell number space and study their properties. Further, based on the metrics or difference values appropriately defined, we put forward an algorithmic version of pattern recognition in an imprecise or uncertain environment, and we also give practical examples to show the application and rationality of the proposed techniques.