On Hamacher sum of triangular fuzzy numbers

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16 Citations (Scopus)


This paper presents new results concerning the effective practical computation of the membership function of the infinite sum (defined via the sup-Hamacher-norm convolution) of triangular fuzzy numbers. Namely, we shall calculate the limit distribution of the Hγ-sum a ̃1 {circled asterisk operator} a ̃2 {circled asterisk operator} ... of triangular fuzzy numbers a ̃i, i ε{lunate} N, for γ = 0, 1, 2.

Original languageEnglish
Pages (from-to)205-212
Number of pages8
JournalFuzzy Sets and Systems
Issue number2
Publication statusPublished - Jul 25 1991


  • Hamacher operator
  • Triangular fuzzy number

ASJC Scopus subject areas

  • Logic
  • Artificial Intelligence

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