Towards a robustness study of intuitionistic fuzzy reasoning

Renata H. S. ReiserLidiane VisinitinÍbero BenítezBenjamín Bedregal

This work investigates the robustness of intuitionistic fuzzy connectives in fuzzy reasoning. Starting with an evaluation of the sensitivity in n-order functions in the class of intuitionistic fuzzy sets, we introduce and study the robustness of intuitionistic fuzzy inference systems, mainly related to the sensitivity of intuitionistic fuzzy connectives. The paper formally states the robustness in the intuitionistic fuzzy MP rule under some commonly used intuitionistic fuzzy t-norms and implication functions.

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