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

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.

Graphical abstractFigure optionsDownload full-size imageDownload as PowerPoint slideHighlights► A linear assignment method based on interval type-2 fuzzy set (IT2FS) is proposed. ► Multiple-criteria decision-making problems are addressed in the IT2FS context. ► An algorithmic procedure using the signed distance-based approach is presented. ► A weighted rank frequency matrix is defined to form a linear programming model. ► The feasibility is illustrated by a case involving the selection of landfill sites.