Problems on triangular norms and related operators

DOI10.1016/S0165-0114(03)00303-8zbMath1050.03019MaRDI QIDQ1885740

Endre Pap, Erich Peter Klement, Radko Mesiar

Publication date: 12 November 2004

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

zbMATH Keywords

Triangular normAggregation operatorUninormTriangular conorm

Mathematics Subject Classification ID

Fuzzy logic; logic of vagueness (03B52)

Related Items (19)

On an Open Problem of U. Höhle - A Characterization of Conditionally Cancellative T-Subnorms ⋮ A weakening of Schur-concavity for copulas ⋮ A conditionally cancellative left-continuous t-norm is not necessarily continuous ⋮ Modeling autoregressive fuzzy time series data based on semi-parametric methods ⋮ DIFFERENT TYPES OF CONTINUITY OF TRIANGULAR NORMS REVISITED ⋮ \(T\)-subnorms with strong associated negation: some properties ⋮ Solution to an open problem: a characterization of conditionally cancellative t-subnorms ⋮ Unnamed Item ⋮ Fuzzy Implications: Some Recently Solved Problems ⋮ Open problems from the 12th international conference on fuzzy set theory and its applications ⋮ Solution of an open problem for associative copulas ⋮ Convexity conditions on t-norms and their additive generators ⋮ Cancellativity properties for t-norms and t-subnorms ⋮ Unnamed Item ⋮ Unnamed Item ⋮ An answer to an open problem on triangular norms ⋮ On the continuity of residuals of triangular norms ⋮ Generalized interval-valued intuitionistic fuzzy Hamacher generalized Shapley Choquet integral operators for multicriteria decision making ⋮ An answer to an open problem on triangular norms

Cites Work

• Statistical metric spaces
• Fuzzy partitions and relations; an axiomatic basis for clustering
• On the simultaneous associativity of F(x,y) and x+y-F(x,y)
• Construction of fuzzy sigma-algebras using triangular norms
• On the class of \(\tau_T\) semigroups of probability distribution functions
• Convex decompositions of fuzzy partitions
• A family of strict and discontinuous triangular norms
• Triangular norms on product lattices
• Metamathematics of fuzzy logic
• Open problems from the 2nd International Conference on Fuzzy Sets Theory and Its Applications
• Metric properties of fuzzy partitions
• On the direct decomposability of t-norms on product lattices
• Triangular norms
• Observations on the monoidal t-norm logic
• Problems on associative functions
• Structure of Uninorms
• On a class of operators for expert systems
• The cancellation law for inf-convolution of convex functions
• Archimedean components of triangular norms
• DOMINATION OF AGGREGATION OPERATORS AND PRESERVATION OF TRANSITIVITY
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

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