The Fuzzy WOD Model: Decision Support under Imprecision and Relevance

This paper extends the Weighted Overlap Dominance (WOD) model (initially presented in J.L. Hougaard, K. Nielsen. Weighted Overlap Dominance - A procedure for interactive selection on multidimensional interval data. Applied Mathematical Modelling 35, 2011, 3958 - 3969), as an outranking approach for decision support and multidimensional interval analysis. First, the original approach is extended using fuzzy set theory which makes it possible to handle both non-interval and interval data. Second, we re-examine the ranking procedure based on semi-equivalence classes and suggest a new complementary ranking procedure. The new ranking procedure introduces relevance degrees for ranking the given set of alternatives. In this way, a complete methodology is presented for identifying recommended solutions that aid the decision-maker when facing a specific problem, by ranking alternatives according to their relevance under imprecise measurements.