Best Lipschitz constant of the trapezoidal approximation operator preserving the expected interval

  • Authors:

  • Lucian Coroianu

  • Affiliations:

  • Department of Mathematics and Computer Science, University of Oradea, Universităţii 1, 410087 Oradea, Romania

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2011

Quantified Score

Hi-index 0.20

Visualization

Abstract

In this paper, we prove new distance properties between a fuzzy number and its trapezoidal approximation preserving the expected interval. Then, we find the best Lipschitz constant of the trapezoidal approximation operator preserving the expected interval. Finally, we use this result in finding within a reasonable error the trapezoidal approximation of a fuzzy number preserving the expected interval in the case when the direct formula leads to complex calculations.