Fuzzy inclusion and similarity through coherent conditional probability

DOI10.1016/j.fss.2008.01.012zbMath1184.03054OpenAlexW1975244218MaRDI QIDQ1037858

Barbara Vantaggi, Romano Scozzafava

Publication date: 17 November 2009

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

Full work available at URL: https://doi.org/10.1016/j.fss.2008.01.012

zbMATH Keywords

fuzzy similarity\(T\)-transitivityfuzzy inclusioncoherent conditional probability

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72) Distribution theory (60E99)

Related Items (7)

Fuzzy memberships as likelihood functions in a possibilistic framework ⋮ \textit{SMART-or} and \textit{SMART-and} fuzzy average operators: a generalized proposal ⋮ Quasi conjunction, quasi disjunction, t-norms and t-conorms: probabilistic aspects ⋮ Coherent Conditional Probability, Fuzzy Inclusion and Default Rules ⋮ Envelopes of conditional probabilities extending a strategy and a prior probability ⋮ Unnamed Item ⋮ Decision Rules Under Vague and Uncertain Information

Cites Work

• Fuzzy subsethood
• On rational cardinality-based inclusion measures
• On the transitivity of a parametric family of cardinality-based similarity measures
• Conditional probability and fuzzy information
• On the transitivity of containment and equivalence in fuzzy power set theory
• On the simultaneous associativity of F(x,y) and x+y-F(x,y)
• Fuzzy sets and systems. Theory and applications
• Fuzzy sets as a basis for a theory of possibility
• Towards general measures of comparison of objects
• Subsethood measure: new definitions
• Triangular norms
• Inclusion grade and fuzzy implication operators
• Stochastic independence in a coherent setting
• Toward a perception-based theory of probabilistic reasoning with imprecise probabilities
• Conditional probability, fuzzy sets, and possibility: a unifying view
• Transitivity-preserving fuzzification schemes for cardinality-based similarity measures
• A comparative study of similarity measures
• Transitivity frameworks for reciprocal relations: cycle-transitivity versus \(FG\)-transitivity
• FUZZINESS VS. PROBABILITY
• Fuzzy sets
• A class of rational cardinality-based similarity measures

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