A unified way to studies of t-seminorms, t-semiconorms and semi-uninorms on a complete lattice in terms of behaviour operations

DOI10.1016/j.ijar.2023.02.012OpenAlexW4323048205MaRDI QIDQ6114030

Yexing Dan

Publication date: 11 July 2023

Published in: International Journal of Approximate Reasoning (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijar.2023.02.012

zbMATH Keywords

complete latticesemi-uninormt-semiconormt-seminormbehaviour operationdual behaviour operation

Mathematics Subject Classification ID

Reasoning under uncertainty in the context of artificial intelligence (68T37)

Cites Work

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• Archimedean overlap functions: the ordinal sum and the cancellation, idempotency and limiting properties
• Semi-uninorms and implications on a complete lattice
• Distributivity and conditional distributivity of semi-uninorms over continuous t-conorms and t-norms
• Residual operations of left and right uninorms on a complete lattice
• On the Chebyshev type inequality for seminormed fuzzy integral
• Fuzzy implications
• Two families of fuzzy integrals
• Composite fuzzy relational equations with non-commutative conjunctions
• Nonstandard conjunctions and implications in fuzzy logic
• Uninorm aggregation operators
• Triangular norms
• Distributivity between semi-uninorms and semi-t-operators
• Characterizations of idempotent discrete uninorms
• On residual implications derived from overlap functions
• Relations among univariate aging, bivariate aging and dependence for exchangeable lifetimes
• Pseudo-t-norms and implication operators on a complete Brouwerian lattice
• Conditional distributivity equation of semi-uninorms over uninorms
• Discrete overlap functions: basic properties and constructions
• Left and right distributivity between semi-uninorms and semi-\(S\)-uninorms
• The distributivity property of increasing binary operations
• Very and more or less in non-commutative fuzzy logic
• T-Seminorms and Implications on a Complete Lattice
• Commutative idempotent residuated lattices
• Continuous Lattices and Domains
• The Distributivity Equations of Semi-Uninorms
• The functional equations of Frank and Alsina for uninorms and nullnorms
• Uninorms in fuzzy systems modeling
• Pseudo-t-norms and pseudo-BL algebras
• A characterization of the classes Umin and Umax of uninorms on a bounded lattice
• Lifting associative operations on subposets of a complete lattice

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