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Analysis and modelling of a class of generalized fuzzy operators

This paper discusses a class of generalized fuzzy operators named as the generalized probability sum operator and the generalized probability product operator, which have been proposed by authors for fuzzy reasoning. Here we further analyze their characters from theory. A proof that two operators belonged to T-norm and T-conorm separately is given. And a fuzzy neural network model based on the operators is constructed. The model could be used for fuzzy inference or fuzzy control.