On Aggregation Operators for Fuzzy Information Sources
During the development of fuzzy information 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 identy, 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.
KeywordsGlobal Information Aggregation Operator Multicriteria Decision Fuzzy Information Order Weight Average
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- 4.Chiclana, F., Herrera, F., Herrea-Viedma, E.: The ordered weighted geometric operator: Properties and application. In: Proc 8th Int Conf on Information Processing and Management of Uncertainty in Knowledge-based System., Madrid, Spain, pp. 985–991 (2000)Google Scholar
- 8.Shi-Hu, A.: On the weak norms of the compound fuzzy proposition. Chinese Journal of Computers 24(20), 1071–1076 (2001)Google Scholar
- 9.Marichal, J.-L.: Aggregation operators for multicriteria decision aid. PhD dissertation, Faculte des Sciences, Universite de Liege, Liege, Belgium (1999)Google Scholar
- 12.Yager, R.R.: Induced aggregation operators. Fuzzy Sets Syst. (2003) (in press) Google Scholar