Approximate solutions of fuzzy relational equations and a characterization of t-norms that define metrics for fuzzy sets

DOI10.1016/0165-0114(95)00011-9zbMath0856.04006OpenAlexW2087195440MaRDI QIDQ1920321

Siegfried Johannes Gottwald

Publication date: 30 October 1996

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

Full work available at URL: https://doi.org/10.1016/0165-0114(95)00011-9

zbMATH Keywords

fuzzy setsapproximate solutionst-normsfuzzy relational equationsmetrics

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72)

Related Items

\(T\)-equalities as fuzzy non-archimedean metrics and \(\delta ^{+}\)-fuzzy equivalences of type \(S\), Siegfried Gottwald (1943--2015) obituary, \(I\)-fuzzy equivalence relations and \(I\)-fuzzy partitions, Unnamed Item, A characterization of the ordering of continuous \(t\)-norms, Metrics and \(\mathcal T\)-equalities

Cites Work

• Fuzzy relational equations with generalized connectives and their applications
• A general concept of fuzzy connectives, negations and implications based on t-norms and t-conorms
• Solvability of fuzzy relational equations and manipulation of fuzzy data
• On the simultaneous associativity of F(x,y) and x+y-F(x,y)
• Resolution of eigen fuzzy sets equations
• On the suitability of fuzzy models: an evaluation through fuzzy integrals
• A fuzzy cognitive structure for pattern recognition
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