Median alpha-levels of a fuzzy number

  • Authors:
  • Slavka Bodjanova

  • Affiliations:
  • Department of Mathematics, Texas A&M University-Kingsville, MSC 172, Kingsville, TX 78363, USA

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2006

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Abstract

Three median alpha-levels of a fuzzy number A are introduced. Two of them are based on the vertical and horizontal dimensions of A, one on the cardinality of A. Approximation of fuzzy numbers by alpha-cuts associated with the median alpha-levels is discussed. Percentile characterizations of alpha-cuts with respect to the selected properties of fuzzy numbers are proposed.