The probabilistic ordered weighted continuous OWA operator and its application in group decision making

In this paper, the aim is to propose a new aggregation operator called the probabilistic ordered weighted continuous OWA (POW-COWA) operator to aggregate the continuous interval number. The primary character of the POW-COWA operator is that it unifies the probability and the continuous OWA (COWA) operator in the same formulation through considering various importance degrees of different concepts in the aggregation process. Simultaneously, the new operator can be employed to diminish uncertainty and lower the complexity of data processing. Furthermore, we discuss some desired properties and different special cases of the developed operator. Additionally, a method of group decision making (GDM) under interval number environment is proposed based on the POW-COWA operator. At last, a numerical example is presented to illustrate the proposed method.

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