Method for solving quasi-concave and non-concave fuzzy multi-objective programming problems

Chian Son Yu*, Han-Lin Li

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

This paper proposes a method based on linear programming techniques to treat quasi-concave and non-concave fuzzy multi-objective programming (FMOP) problems. The proposed method initially presents a piecewise linear expression to interpreting a quasi-concave membership function. Then we find the convex-type break points and transform all quasi-concave membership functions into concave functions. After that, the converted program is solved by linear programming techniques to obtain a global optimum. In addition to not containing any of the zero-one variables, the proposed method does not require dividing the quasi-concave FMOP problem into large sub-problems as in conventional methods. The extension of the proposed method can treat general non-concave FMOP problems by merely adding less number of zero-one variables.

Original languageEnglish
Pages (from-to)205-227
Number of pages23
JournalFuzzy Sets and Systems
Volume122
Issue number2
DOIs
StatePublished - 15 Sep 2001

Keywords

  • Fuzzy multi-objective programming
  • Linear programming
  • Non-concave
  • Piecewise

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