A Study on Fuzzy Aggregation Operator in Multicriteria Decision Systems

During the development of multicriteria decision systems, the aggregation fuzzy information sources should be considered. Aggregation operators are the key technique that solve this problem. By assign 0.5 to the generalized triangular norm identity, the harmonic triangular norm operators and strict harmonic triangular norm operators is defined. The properties of the aggregation operators is discussed. We prove the continuous harmonic triangular norm operator does not exist. The operators when the information sources have weights are also given. Four type detail (strict) harmonic triangular norm operators are given. Finally, two measures associated with the operators are defined, one is marginal measure and the other is sensitive measure. 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