Distributivity equations of implications based on continuous triangular conorms. II

DOI10.1016/j.fss.2013.07.020zbMath1315.03040OpenAlexW2050233652MaRDI QIDQ2351618

Feng Qin, Michał Baczyński

Publication date: 24 June 2015

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fss.2013.07.020

zbMATH Keywords

functional equationsfuzzy implicationt-conormfuzzy connectivesdistributivity equations of implications

Mathematics Subject Classification ID

Fuzzy logic; logic of vagueness (03B52) Functional equations for functions with more general domains and/or ranges (39B52)

Related Items (7)

Cauchy-like functional equation based on a class uninorm ⋮ On the constructions of t-norms on bounded lattices ⋮ New construction of t-norms and t-conorms on bounded lattices ⋮ Distributivity of \(N\)-ordinal sum fuzzy implications over \(t\)-norms and \(t\)-conorms ⋮ On the distributivity of fuzzy implications and the weighted \(S\)-implications ⋮ On the conditional distributivity of nullnorms over uninorms ⋮ Cauchy-like functional equations for uninorms continuous in \((0,1)^{2}\)

Cites Work

• Distributive equations of implications based on nilpotent triangular norms
• On the distributivity of fuzzy implications over continuous Archimedean t-conorms and continuous t-conorms given as ordinal sums
• Distributivity of residual implications over conjunctive and disjunctive uninorms
• On the distributivity of fuzzy implications over representable uninorms
• Triangular norms
• A new class of fuzzy implications. Axioms of fuzzy implication revisited
• The distributive equations for idempotent uninorms and nullnorms
• ON A CLASS OF DISTRIBUTIVE FUZZY IMPLICATIONS
• CONTRAPOSITIVE SYMMETRY OF DISTRIBUTIVE FUZZY IMPLICATIONS
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