A comparative study of Tarski's fixed point theorems with the stress on commutative sets of \(\mathbf{L}\)-fuzzy isotone maps with respect to transitivities

DOI10.1016/j.fss.2018.12.001zbMath1465.06004OpenAlexW2903654165WikidataQ128827014 ScholiaQ128827014MaRDI QIDQ2041247

František Včelař, Zuzana Pátíková

Publication date: 16 July 2021

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

Full work available at URL: https://doi.org/10.1016/j.fss.2018.12.001

zbMATH Keywords

fixed pointcomplete latticefuzzy relation\(\mathbf{L}\)-fuzzy isotone mapcommutative set of mapsrelatively isotone maptransitivity (weak or strong)

Mathematics Subject Classification ID

Complete lattices, completions (06B23) Lattice ideals, congruence relations (06B10)

Cites Work

• On fuzzification of Tarski's fixed point theorem without transitivity
• Lattice-type fuzzy order is uniquely given by its 1-cut: Proof and consequences
• Concept lattices and order in fuzzy logic
• Similarity relations and fuzzy orderings
• A lattice-theoretical fixpoint theorem and its applications
• ON AN APPROACH TO THE FUZZIFICATION OF CLASSICAL ARROW'S AGGREGATION PROBLEM
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