Weighted trapezoidal and triangular approximations of fuzzy numbers

  • Authors:

  • Chi-Tsuen Yeh

  • Affiliations:

  • Department of Mathematics Education, National University of Tainan, 33, Sec. 2, Shu-Lin St., Tainan 70005, Taiwan

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2009

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Abstract

In 2007, Zeng and Li proposed a weighted triangular approximation of a fuzzy number. Unfortunately, this approximation may fail to be a fuzzy number. In this paper, we improve this approximation and propose a generalization by the name of weighted trapezoidal approximation. Their algorithms are also presented. Finally, some examples and relevant properties are discussed.