Robustness on the fuzzy f-Xor Class: Implication, bi-implications and dual constructions

This paper aims to study the robustness of f-Xor connectives, in particular the E_{TP, SP, NS} operator also including its main properties, N_S-dual construction and corresponding fuzzy f-Xor implication and bi-implication. Additionally, we obtained some basic results on the pointwise sensitivity of the f-Xor connective E_{TP, SP, NS}, mainly connected with the endpoints of unit interval U. Our major interest is the robustness analysis related to f-X(N)or (co)implications and f-X(N)or bi-(co)implications.