Using Heavy Aggregations in a Unified Model between the Weighted Average and the Owa Operator

We introduce a new aggregation operator called the heavy ordered weighted averaging – weighted averaging (HOWAWA) operator. It is a new aggregation operator that uses the weighted average and the ordered weighted average in the same formulation and considering the degree of importance that each concept has in the analysis. Moreover, by using heavy aggregations, we are allowing the weighting vectors to range from the minimum to the total operator. Thus, we can consider a lot of different particular cases such as the heavy weighted average, the heavy OWA, the heavy arithmetic weighted average and the heavy arithmetic OWA operator.