Triangular norms. Position paper II: General constructions and parameterized families
From MaRDI portal
Publication:1885736
DOI10.1016/S0165-0114(03)00327-0zbMath1059.03012OpenAlexW1974828628MaRDI QIDQ1885736
Erich Peter Klement, Radko Mesiar, Endre Pap
Publication date: 12 November 2004
Published in: Fuzzy Sets and Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0165-0114(03)00327-0
Fuzzy logic; logic of vagueness (03B52) Research exposition (monographs, survey articles) pertaining to mathematical logic and foundations (03-02)
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Cites Work
- A characterization of continuous associative operations whose graphs are ruled surfaces
- Structure of left-continuous triangular norms with strong induced negations. III: Construction and decomposition
- A general concept of fuzzy connectives, negations and implications based on t-norms and t-conorms
- Generalized measures
- On a general class of fuzzy connectives
- On the simultaneous associativity of F(x,y) and x+y-F(x,y)
- Construction of fuzzy sigma-algebras using triangular norms
- A general class of fuzzy operators, the DeMorgan class of fuzzy operators and fuzziness measures induced by fuzzy operators
- On a family of t-norms
- The use of fuzzy outranking relations in preference modelling
- A class of bivariate distributions including the bivariate logistic
- An introduction to copulas. Properties and applications
- A family of strict and discontinuous triangular norms
- A survey on different triangular norm-based fuzzy logics
- Quasi- and pseudo-inverses of monotone functions, and the construction of t-norms
- Metamathematics of fuzzy logic
- Continuity of left-continuous triangular norms with strong induced negations and their boundary condition
- Triangular norms. Position paper I: Basic analytical and algebraic properties.
- How to construct left-continuous triangular norms -- state of the art.
- Triangular norms
- A note on the ordinal sum theorem and its consequence for the construction of triangular norms
- Triangular norms as ordinal sums of semigroups in the sense of A. H. Clifford
- \(\perp\)-decomposable measures and integrals for Archimedean t-conorms \(\perp\)
- Observations on the monoidal t-norm logic
- Contrapositive symmetry of fuzzy implications
- On triangular norm-based propositional fuzzy logics
- A characterization of the Hamacher family of \(t\)-norms
- New family of triangular norms via contrapositive symmetrization of residuated implications
- A representation theorem and a Lyapunov theorem for \(T_S\)-measures: The solution of two problems of Butnariu and Klement
- A. H. Clifford: An appreciation of his work on the occasion of his sixty- fifth birthday
- Über gewisse Halbverbände und kommutative Semigruppen. 2
- Frank's family of bivariate distributions
- A model for association in bivariate life tables and its application in epidemiological studies of familial tendency in chronic disease incidence
- Structure of left-continuous triangular norms with strong induced negations (II) Rotation-annihilation construction
- Structure of left-continuous triangular norms with strong induced negations (I) Rotation construction
- Properties of a one-parameter family of bivariate distributions with specified marginals
- Naturally Totally Ordered Commutative Semigroups
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