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

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 call...

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Bibliographic Details
Published inElectronic notes in theoretical computer science Vol. 324; pp. 151 - 164
Main Authors Reiser, Renata, Zanotelli, Rosana, Costa, Simone, Foss, Luciana, Bedregal, Benjamin
Format Journal Article
LanguageEnglish
Published Elsevier B.V 30.09.2016
Subjects
f- and g-generated implications
Intuitionistic fuzzy logic
Robustness analysis
Yager's implications
Yager's implications
Robustness analysis
Intuitionistic fuzzy logic
f- and g-generated implications
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Summary: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.
ISSN:1571-0661
1571-0661
DOI:10.1016/j.entcs.2016.09.013