Homomorphisms on the monoid of fuzzy implications and the iterative functional equation \(I(x, I(x, y)) = I(x, y)\)
From MaRDI portal
Publication:528663
DOI10.1016/j.ins.2014.10.066zbMath1361.03029OpenAlexW2119868922MaRDI QIDQ528663
Nageswara Rao Vemuri, Balasubramaniam Jayaram
Publication date: 16 May 2017
Published in: Information Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ins.2014.10.066
Fuzzy logic; logic of vagueness (03B52) Iteration theory, iterative and composite equations (39B12) Other algebras related to logic (03G25) Semigroups (20M99)
Related Items (2)
Bijective transformations of fuzzy implications -- an algebraic perspective ⋮ Mutually exchangeable fuzzy implications
Cites Work
- Unnamed Item
- Unnamed Item
- Representations through a monoid on the set of fuzzy implications
- Solutions to the functional equation \(I(x, y) = I(x, I(x, y))\) for three types of fuzzy implications derived from uninorms
- Distributivity of implication operations over t-representable t-norms in interval-valued fuzzy set theory: the case of nilpotent t-norms
- The law of importation versus the exchange principle on fuzzy implications
- The distributivity condition for uninorms and t-operators
- Contrapositive symmetrisation of fuzzy implications -- revisited
- Yager's new class of implications \(J_{f}\) and some classical tautologies
- Fuzzy implications
- Solutions to the functional equation \(I(x,y)=I(x,I(x,y))\) for a continuous D-operation
- \(I\)-fuzzy equivalence relations and \(I\)-fuzzy partitions
- On special fuzzy implications
- The structure of continuous uni-norms
- Uninorm aggregation operators
- On the distributivity between t-norms and t-conorms.
- Triangular norms
- The \(\circledast\)-composition of fuzzy implications: closures with respect to properties, powers and families
- Idempotent uninorms
- Automorphisms, negations and implication operators
- Solution to an open problem: a characterization of conditionally cancellative t-subnorms
- Advances in fuzzy implication functions
- Monoids, acts and categories. With applications to wreath products and graphs. A handbook for students and researchers
- On the characterizations of fuzzy implications satisfying \(I(x,y)=I(x,I(x,y))\)
- Rule reduction for efficient inferencing in similarity based reasoning
- Two types of implications derived from uninorms
- Solutions of Equation I(x,y) = I(x,I(x,y)) for Implications Derived from Uninorms
- ON DISTRIBUTIVITY AND MODULARITY IN DE MORGAN TRIPLETS
- Structure of Uninorms
- Fuzzy Implications: Novel Generation Process and the Consequent Algebras
- Some Remarks on the Solutions to the Functional Equation I(x,y) = I(x,I(x,y)) for D-Operations
- Semantics of implication operators and fuzzy relational products
- Fuzzy Implications: Classification and a New Class
- Extensions of Semigroups
This page was built for publication: Homomorphisms on the monoid of fuzzy implications and the iterative functional equation \(I(x, I(x, y)) = I(x, y)\)
