Aggregation Operators on the Fuzzy e-Xor and e-XNor Classes

This paper considers the study of the fuzzy e-Xor connectives, their properties, dual constructions, and the corresponding fuzzy implications. Based on such study, the concept of fuzzy subXor connectives is introduced as a generalization of fuzzy Xor connectives, by relaxing boundary conditions. As the main contribution, based on n-ary aggregation functions the (ε, A)-operator is introduced, providing a methodology to obtain fuzzy e-subXor connectives. In particular, by taking the arithmetic mean as the aggregation operator performed over the product triangular norm and the probabilistic sum, graphical representations of fuzzy e-Xor connectives are also presented.