An Intuitionistic Owa Operator

The OWA (Ordered Weighted Average) operator is a powerful non-linear operator for aggregating a set of inputs a i ,i∈{1,2,…,M}. In the original OWA operator the inputs are crisp variables a i . This restriction was subsequently removed by Mitchell and Schaefer who by application of the extension principle defined a fuzzy OWA operator which aggregates a set of ordinary fuzzy sets A i . We continue this process and define an intuitionistic OWA operator which aggregates a set of intuitionistic fuzzy sets à i . We describe a simple application of the new intuitionistic OWA operator in multiple-expert multiple-criteria decision-making.