Triangular and parametric approximations of fuzzy numbers---inadvertences and corrections

  • Authors:
  • Adrian I. Ban

  • Affiliations:
  • Department of Mathematics and Informatics, University of Oradea, Universităţii 1, 410087 Oradea, Romania

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

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Abstract

Recent papers were dedicated to approximate fuzzy numbers by triangular, trapezoidal or parametric fuzzy numbers, with or without additional conditions. Unfortunately, the result of approximation is not always a fuzzy number, sometimes it is not a fuzzy set. We point out the wrongs and inadvertences in some recent papers, then we correct the results.