Some mathematical aspects of fuzzy sets: Triangular norms, fuzzy logics, and generalized measures

DOI10.1016/S0165-0114(97)00079-1zbMath0922.03032OpenAlexW1973343792MaRDI QIDQ1282901

Erich Peter Klement

Publication date: 18 October 1999

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

Full work available at URL: https://doi.org/10.1016/s0165-0114(97)00079-1

zbMATH Keywords

fuzzy logicmany-valued logict-normsinfinite-valued logictriangular normsnon-additive generalizations of classical measures

Mathematics Subject Classification ID

Fuzzy logic; logic of vagueness (03B52) Theory of fuzzy sets, etc. (03E72) Fuzzy measure theory (28E10) Many-valued logic (03B50)

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Cites Work

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• A general concept of fuzzy connectives, negations and implications based on t-norms and t-conorms
• Generalized measures
• Additive fuzzy measures and integrals. I
• Decisions and evaluations by hierarchical aggregation of information
• A Radon-Nikodým theorem for fuzzy-valued measures
• Latent connectives in human decision making
• Fuzzy probability measures
• Characterization of finite fuzzy measures using Markoff-kernels
• Characterization of fuzzy measures constructed by means of triangular norms
• Triangular norm-based measures and their Markov kernel representation
• The use of fuzzy outranking relations in preference modelling
• Fuzzy sets as a basis for a theory of possibility
• An integral representation for decomposable measures of measurable functions
• \(\perp\)-decomposable measures and integrals for Archimedean t-conorms \(\perp\)
• Core, value and equilibria for market games: On a problem of Aumann and Shapley
• Probability measures of fuzzy events
• Limit theorems for fuzzy random variables
• A CLASS OF FUZZY MEASURES BASED ON TRIANGULAR NORMS A general framework for the combination of uncertain information
• Ma\e auf unscharfen Mengen
• Fuzzy sets
• Statistical Metrics