A formal study of linearity axioms for fuzzy orderings

DOI10.1016/S0165-0114(03)00128-3zbMath1051.06001WikidataQ62642607 ScholiaQ62642607MaRDI QIDQ1885730

Ulrich Bodenhofer, Frank Klawonn

Publication date: 12 November 2004

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

zbMATH Keywords

CompletenessSzpilrajn theoremFuzzy relationLinearityFuzzy orderingFuzzy preference modeling

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72) Total orders (06A05)

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Cites Work

• Partial ordering in L-underdeterminate sets
• On the structure of F-indistinguishability operators
• On strict preference relations
• A plea for the use of Łukasiewicz triplets in the definition of fuzzy preference structures. I: General argumentation
• Metamathematics of fuzzy logic
• Monoidal t-norm based logic: Towards a logic for left-continuous t-norms
• Representations and constructions of similarity-based fuzzy orderings.
• Triangular norms
• Fuzzy sets and vague environments
• Fuzzy preference structures without incomparability
• A plea for the use of Łukasiewicz triplets in the definition of fuzzy preference structures
• Similarity relations, fuzzy partitions, and fuzzy orderings
• L-fuzzy sets
• Similarity relations and fuzzy orderings
• A SIMILARITY-BASED GENERALIZATION OF FUZZY ORDERINGS PRESERVING THE CLASSICAL AXIOMS
• GÖDEL REPRESENTABLE FUZZY WEAK ORDERS
• Partially Ordered Sets
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item