A linear assignment method for multiple-criteria decision analysis with interval type-2 fuzzy sets

Ting Yu Chen*

*Corresponding author for this work

Research output: Contribution to journalJournal Article peer-review

136 Scopus citations

Abstract

The theory of interval type-2 fuzzy sets is valuable for modeling impressions in multiple-criteria decision analysis problems. Based on signed distances, we develop a new linear assignment method to produce an optimal preference ranking of the alternatives in accordance with a set of criterion-wise rankings and a set of criterion importance within the context of interval type-2 trapezoidal fuzzy numbers. Applying the proposed method to a case involving the selection of a landfill site, we demonstrate that the proposed method is easy to employ and that it produces actionable results that aid the decision-making process. The proposed interval type-2 fuzzy linear assignment method utilizes signed distances, does not require a complicated computation procedure and will be beneficial to decision analysis.

Original languageEnglish
Pages (from-to)2735-2748
Number of pages14
JournalApplied Soft Computing Journal
Volume13
Issue number5
DOIs
StatePublished - 2013

Keywords

  • Interval type-2 fuzzy set
  • Interval type-2 trapezoidal fuzzy number
  • Linear assignment method
  • Multiple-criteria decision analysis
  • Signed distance

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