Information Aggregation Theory For Decision Making

Recently, information aggregation theory has made great success in the application. It hasbeen widely used in medicine, economics, management, military and many other fields. In thistheory, many scholars at home and abroad have introduced many kinds of aggregation operatorsand make great progress in decision making. However, this theory is still very immature and isfacing many new problems, such as the relationships between the weights of the arguments andthe arguments, how do we make aggregation operators continuous and so on.Based on above mentioned, we will introduce some new aggregation operators, study theirbasic properties and discuss their applications in decision making. These works will enrich theinformation aggregation theory and decision making theory.Our major woks can be generalized as follows:1. Based on the consistent induced matrix, we introduce a family of aggregation operators,such as, the CIM, CIM-TOWA and CIM-SOWA operators and so on. Besides, we study theirbasic properties and the relationships among them.2. We study the continuous aggregation operators. We get a generalization of the PAoperator and introduce the continuous PA operator. Also, based on studying the GOWA operator,we show effects on the continuous aggregation operators made by divisions of interval values.3. Based on the Heronian operator, we introduce the parametric Heronian and H-OWAoperators and study their basic properties. Also, based on the H-OWA operator, we develop anapproach to deal with decision making problems.