A general theory of fuzzy plausibility measures

DOI10.1016/0022-247X(87)90114-4zbMath0649.60002OpenAlexW2091434211MaRDI QIDQ1105895

Ulrich Höhle

Publication date: 1987

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(87)90114-4

zbMATH Keywords

fuzzification of plausibility measuresfuzzification of probability theory

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72) Foundations of probability theory (60A99)

Related Items (7)

FUZZY MEASURES AND FUZZY INTEGRALS: AN OVERVIEW ⋮ Approximate classification with web ontologies through evidential terminological trees and forests ⋮ The general Poincaré formula for \(\lambda\)-additive measures ⋮ TOTAL UNCERTAINTY REVISITED ⋮ Integrals based on monotone set functions ⋮ Inequalities for \(\lambda \)-additive measures based on the application of the general Poincaré formula for \(\lambda \)-additive measures ⋮ The \(\lambda \)-additive measure in a new light: the \(Q_{\nu }\) measure and its connections with belief, probability, plausibility, rough sets, multi-attribute utility functions and fuzzy operators

Cites Work

• Representation theorems for L-fuzzy quantities
• Fuzzy sets as a basis for a theory of possibility
• L-fuzzy sets
• Fields of events and their definition in the axiomatic treatment of probability
• Ergodic theory, entropy
• A FOUNDATION FOR A THEORY OF POSSIBILITY
• Fuzzy sets
• The integral in a Boolean algebra
• On the axiomatic treatment of probability
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