Probabilistic implications

DOI10.1016/j.fss.2013.01.003zbMath1284.68548OpenAlexW2913824272MaRDI QIDQ2445534

Przemysław Grzegorzewski

Publication date: 14 April 2014

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

Full work available at URL: https://doi.org/10.1016/j.fss.2013.01.003

zbMATH Keywords

copulaconditional probabilityapproximate reasoningfuzzy implicationdependenceS-implication

Mathematics Subject Classification ID

Characterization and structure theory for multivariate probability distributions; copulas (62H05) Fuzzy logic; logic of vagueness (03B52) Reasoning under uncertainty in the context of artificial intelligence (68T37)

Related Items (19)

A new family of (A, N)-implications: Construction and properties ⋮ An overview of fuzzy logic connectives on the unit interval ⋮ From three to one: equivalence and characterization of material implications derived from co-copulas, probabilistic \(S\)-implications and survival \(S\)-implications ⋮ Fuzzy implications based on semicopulas ⋮ On interval fuzzy implications derived from interval additive generators of interval t-norms ⋮ A generalization of a copula-based construction of fuzzy implications ⋮ Shock models with recovery option via the maxmin copulas ⋮ On Functions Derived from Fuzzy Implications ⋮ New results of fuzzy implications satisfying \(i(x,i(y,z))=i(I(x,y),i(x,z))\) ⋮ Some properties of fuzzy implications based on copulas ⋮ The study on semicopula based implications ⋮ Properties of the probabilistic implications and S-implications ⋮ Unnamed Item ⋮ Characteristics and applications of \(J_{I,B}\)-implications via some classical logic tautologies ⋮ Importation lattices ⋮ Copulas and fuzzy implications ⋮ Some characterizations of \(T\)-power based implications ⋮ Equivalence and characterization of probabilistic and survival implications ⋮ Granular fuzzy rough sets based on fuzzy implicators and coimplicators

Cites Work

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• From computing with numbers to computing with words. From manipulation of measurements to manipulation of perceptions
• THE FUNDAMENTALS OF FUZZY MATHEMATICAL MORPHOLOGY PART 1: BASIC CONCEPTS
• Probabilistic Implications

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