Trapezoidal and triangular approximations preserving the expected interval

  • Authors:

  • Chi-Tsuen Yeh

  • Affiliations:

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

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2008

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Abstract

In this paper, an improvement of the nearest trapezoidal approximation operator preserving the expected interval is studied, which is proposed by Grzegorzewski and Mrowka. A formula for computing the improved approximation is presented. Moreover, the nearest triangular approximation operator preserving the expected interval is also investigated.