Representations through a monoid on the set of fuzzy implications
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Publication:279330
DOI10.1016/j.fss.2014.02.014zbMath1334.03028OpenAlexW2033559778MaRDI QIDQ279330
Nageswara Rao Vemuri, Balasubramaniam Jayaram
Publication date: 28 April 2016
Published in: Fuzzy Sets and Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.fss.2014.02.014
Related Items (14)
Bijective transformations of fuzzy implications -- an algebraic perspective ⋮ Investigations of fuzzy implications satisfying generalized hypothetical syllogism ⋮ The \(\circledast\)-composition of fuzzy implications: closures with respect to properties, powers and families ⋮ Characterization of generalized \((h, e)\)-implications based on the characterization of \((f, e)\) and \((g, e)\)-implications ⋮ A New Look on Fuzzy Implication Functions: FNI-implications ⋮ A New Look on the Ordinal Sum of Fuzzy Implication Functions ⋮ Polynomial constructions of fuzzy implication functions: the quadratic case ⋮ A survey of fuzzy implication algebras and their axiomatization ⋮ How to modify a fuzzy implication function to satisfy a desired property ⋮ On ordinal sum implications ⋮ Lattice operations on fuzzy implications and the preservation of the exchange principle ⋮ Mutually exchangeable fuzzy implications ⋮ Homomorphisms on the monoid of fuzzy implications and the iterative functional equation \(I(x, I(x, y)) = I(x, y)\) ⋮ The non-contradiction principle related to natural negations of fuzzy implication functions
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