Fuzzy aggregation operators for multicriteria decision in expert system

During the fuzzy reasoning of expert system, there are always some uncertain information sources. We should use the multicriteria decision making to aggregate them. The fuzzy aggregation operator is the key technology of multicriteria decision making. We define harmonic triangular norm operators and strict harmonic triangular norm operators. Four type detail harmonic triangular norm operators are given. Further, the procedure and algorithm of multicriteria decision making based on fuzzy aggregation operator is given. Finally, we define two measures associated with the operators. Based on the measure, the relationships of those operators and classical operators are evaluated and compared. The result shows that the operators offer a new method to aggregation of fuzzy information sources in fuzzy environments.