Fractional programming approach to fuzzy weighted average

Chiang Kao, Shiang Tai Liu

Research output: Contribution to journalArticle

136 Citations (Scopus)


This paper proposes a fractional programming approach to construct the membership function for fuzzy weighted average. Based on the α-cut representation of fuzzy sets and the extension principle, a pair of fractional programs is formulated to find the α-cut of fuzzy weighted average. Owing to the special structure of the fractional programs, in most cases, the optimal solution can be found analytically. Consequently, the exact form of the membership function can be derived by taking the inverse function of the α-cut. For other cases, a discrete but exact solution to fuzzy weighted average is provided via an efficient solution method. Examples are given for illustration.

Original languageEnglish
Pages (from-to)435-444
Number of pages10
JournalFuzzy Sets and Systems
Issue number3
Publication statusPublished - 2001 Jun 1

All Science Journal Classification (ASJC) codes

  • Logic
  • Artificial Intelligence

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