Weighted triangular approximation of fuzzy numbers

  • Authors:
  • Wenyi Zeng;Hongxing Li

  • Affiliations:
  • School of Mathematical Sciences, Beijing Normal University, Beijing 100875, PR China;School of Mathematical Sciences, Beijing Normal University, Beijing 100875, PR China

  • Venue:
  • International Journal of Approximate Reasoning
  • Year:
  • 2007

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Abstract

In this paper, we use the weighted distance between fuzzy numbers to investigate the approximation of arbitrary fuzzy numbers by weighted distance. We then discuss properties of the approximation strategy including continuity, translation invariance, scale invariance and identity and give an application to the generation of fuzzy partitions.