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.

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► 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.