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.
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.