Induced continuous ordered weighted averaging aggregation operator to interval numbers based on set pair potentials

Abstract

In multi-attribute decision making, the aggregation method of each attribute value is always one of the core issues of research. This paper presents a novel aggregation operator as the further study to ICOWA operator. Firstly, the paper gives the method of converting interval number into binary connection number, and achieves the ranking of interval number by calculating the set pair potential of binary connection number. On this basis, a new induced interval number weighted averaging operator based on set pair potential (SP-ICOWA) is given, and it is proved that this operator has good properties such as boundedness, idempotence, commutativity. Finally, an example of the evaluation of the fire fighting capability of a ship is given. The continuous ordered weighted averaging operator (COWA) and SP-ICOWA are both used to calculate the fire fighting capability of a ship, the result manifests the feasibility and validity of SP-ICOWA operator.