A new method based on induced aggregation operator and distance measures for fuzzy decision-making

In this paper we introduce a new fuzzy decision making model that unifies induced aggregation operators and distance measures in the same formulation. We develop the fuzzy induced generalized ordered weighted averaging distance (FIGOWAD) operator. The main advantage of this operator is that it provides a parameterized family of aggregation operators between the minimum and the maximum and a wide range of special cases. Another advantage is that it is able to deal with the fuzzy environment where the information is very imprecise and can be assessed with interval numbers. Moreover, it uses induced aggregation operators that provide a more general representation of the attitudinal character of the decision-maker. We study some families of the FIGOWAD operators. We end the paper with an application of the new approach in a business decision-making problem about the selection of strategies.