Discrete overlap functions: basic properties and constructions

DOI10.1016/j.ijar.2022.07.004OpenAlexW4288740322WikidataQ113872771 ScholiaQ113872771MaRDI QIDQ2169223

Junsheng Qiao

Publication date: 2 September 2022

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

Full work available at URL: https://doi.org/10.1016/j.ijar.2022.07.004

zbMATH Keywords

ordinal sumdiscrete \(0, 1\)-aggregation operatordiscrete aggregation operatordiscrete overlap funciton

Mathematics Subject Classification ID

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

Related Items (3)

A unified way to studies of t-seminorms, t-semiconorms and semi-uninorms on a complete lattice in terms of behaviour operations ⋮ \(\mathbf{R}_o\)-implications on finite scales ⋮ Additively generated discrete quasi-overlap functions

Cites Work

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• New results on overlap and grouping functions
• Archimedean overlap functions: the ordinal sum and the cancellation, idempotency and limiting properties
• A new modularity measure for fuzzy community detection problems based on overlap and grouping functions
• Aggregation of subjective evaluations based on discrete fuzzy numbers
• A new linguistic computational model based on discrete fuzzy numbers for computing with words
• \(QL\)-operations and \(QL\)-implication functions constructed from tuples \((O,G,N)\) and the generation of fuzzy subsethood and entropy measures
• A characterization of discrete uninorms having smooth underlying operators
• Smooth t-subnorms on finite scales
• \(n\)-dimensional overlap functions
• On additive generators of overlap functions
• The law of importation for discrete implications
• Triangular norms on product lattices
• Generalized interval-valued OWA operators with interval weights derived from interval-valued overlap functions
• Characterizations of idempotent discrete uninorms
• The law of \(O\)-conditionality for fuzzy implications constructed from overlap and grouping functions
• On residual implications derived from overlap functions
• On left and right uninorms on a finite chain
• On binary operations with finite external range
• Capacities and overlap indexes with an application in fuzzy rule-based classification systems
• Discrete aggregation operators with annihilator
• Migrativity properties of overlap functions over uninorms
• On the distributivity equations between uni-nullnorms and overlap (grouping) functions
• Characterizing autodistributive aggregation operations defined on finite linearly ordered scales
• New results on discrete copulas and quasi-copulas
• Overlap and grouping functions on complete lattices
• \(C_F\)-integrals: a new family of pre-aggregation functions with application to fuzzy rule-based classification systems
• Constructions of overlap functions on bounded lattices
• Generalized continuous and left-continuous t-norms arising from algebraic semantics for fuzzy logics
• On distributive laws between 2-uninorms and overlap (grouping) functions
• General overlap functions
• Kernel aggregation functions on finite scales. Constructions from their marginals
• Weighted ordinal means
• On interval additive generators of interval overlap functions and interval grouping functions
• Some properties of overlap and grouping functions and their application to image thresholding
• Quasi-copulas and copulas on a discrete scale
• Overlap functions
• General interval-valued overlap functions and interval-valued overlap indices
• A survey on the existing classes of uninorms
• IDEMPOTENT UNINORMS ON FINITE ORDINAL SCALES
• On a class of operators for expert systems
• Continuous Lattices and Domains
• Aggregation operators. New trends and applications
• On the minimality of some generating sets of the aggregation clone on a finite chain
• On ordinal sums of overlap and grouping functions on complete lattices
• Towards interval uncertainty propagation control in bivariate aggregation processes and the introduction of width-limited interval-valued overlap functions
• Lattice-valued overlap and quasi-overlap functions
• Constructing overlap and grouping functions on complete lattices by means of complete homomorphisms

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