A generalization of the Mulholland inequality for continuous Archimedean t-norms

DOI10.1016/j.jmaa.2008.03.045zbMath1150.03010OpenAlexW2038928121WikidataQ60257782 ScholiaQ60257782MaRDI QIDQ932328

Bernard De Baets, Susanne Saminger-Platz, H. E. De Meyer

Publication date: 10 July 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.03.045

zbMATH Keywords

triangular normdominance relation between \(t\)-normsMinkowsi inequalityMulholland inequality

Mathematics Subject Classification ID

Fuzzy logic; logic of vagueness (03B52)

Related Items

Supermigrative semi-copulas and triangular norms, Preservation of fuzzy relation properties based on fuzzy conjunctions and disjunctions during aggregation process, Solution to an open problem: a characterization of conditionally cancellative t-subnorms, Dominance in the family of Sugeno-Weber t-norms, Distributivity inequalities of monotonic operations, Distorted Copulas: Constructions and Tail Dependence, Subdistributivity and superdistributivity of binary operations, Dominance on continuous Archimedean triangular norms and generalized Mulholland inequality, Dominance on strict triangular norms and Mulholland inequality, The dominance relation in some families of continuous Archimedean t-norms and copulas, Geometrically concave univariate distributions, Fuzzy \(\alpha\)-\(C\)-equivalences

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On a generalized Minkowski inequality and its relation to dominates for t-norms
• Dominance is not transitive on continuous triangular norms
• Characterizing dominates on a family of triangular norms
• On the structure of F-indistinguishability operators
• On a functional inequality arising in a construction of the product of several metric spaces
• Topologies for probabilistic metric spaces
• \({\mathcal T}\)-partitions
• Triangular norms. Position paper I: Basic analytical and algebraic properties.
• Triangular norms
• Metrics and \(\mathcal T\)-equalities
• Domination of ordered weighted averaging operators over t-norms
• Triangular norms. Position paper II: General constructions and parameterized families
• Triangular norms. Position paper III: Continuous t-norms
• On Mulholland’s inequality
• DOMINATION OF AGGREGATION OPERATORS AND PRESERVATION OF TRANSITIVITY
• The Dominance Relation on the Class of Continuous T-Norms from an Ordinal Sum Point of View
• On Generalizations of Minkowski's Inequality in the Form of a Triangle Inequality