Robustness of f-and g-generated Fuzzy (Co) Implications: The Yager's (Co) Implication Case Study

R Reiser, R Zanotelli, S Costa, L Foss… - Electronic Notes in …, 2016 - Elsevier
R Reiser, R Zanotelli, S Costa, L Foss, B Bedregal
Electronic Notes in Theoretical Computer Science, 2016Elsevier
This paper studies the robustness of intuitionistic fuzzy implications in fuzzy reasoning
based on Atanassov's intuitionistic fuzzy logic. Starting with an evaluation of the sensitivity in
representable fuzzy negations, we apply the results in the Yager's classes of fuzzy
implications called the f-and g-generated fuzzy implications. The paper formally states that
the robustness preserves the projection functions in such class and also discusses their
corresponding dual operators.
Abstract
This paper studies the robustness of intuitionistic fuzzy implications in fuzzy reasoning based on Atanassov's intuitionistic fuzzy logic. Starting with an evaluation of the sensitivity in representable fuzzy negations, we apply the results in the Yager's classes of fuzzy implications called the f- and g-generated fuzzy implications. The paper formally states that the robustness preserves the projection functions in such class and also discusses their corresponding dual operators.
Elsevier
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