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 is an element of {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 (A) over tilde (i). We describe a simple application of the new intuitionistic OWA operator in multiple-expert multiple-criteria decision-making.