\(n\)-dimensional overlap functions

DOI10.1016/j.fss.2014.11.023zbMath1392.68401OpenAlexW1983659965WikidataQ57618635 ScholiaQ57618635MaRDI QIDQ723234

J. Tinguaro Rodríguez, Edurne Barrenechea, Javier Montero, Daniel Gómez, Humberto Bustince

Publication date: 30 July 2018

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

Full work available at URL: https://doi.org/10.1016/j.fss.2014.11.023

zbMATH Keywords

overlap functionsaggregation operatorsgrouping functions

Mathematics Subject Classification ID

Decision theory (91B06) Reasoning under uncertainty in the context of artificial intelligence (68T37)

Related Items (46)

A new modularity measure for fuzzy community detection problems based on overlap and grouping functions ⋮ On \((O,G)\)-fuzzy rough sets based on overlap and grouping functions over complete lattices ⋮ On decision evaluation functions in three-way decision spaces derived from overlap and grouping functions ⋮ On interval additive generators of interval overlap functions and interval grouping functions ⋮ Discrete overlap functions: basic properties and constructions ⋮ General interval-valued overlap functions and interval-valued overlap indices ⋮ General complex-valued grouping functions ⋮ Overlap function-based amongness spaces ⋮ Some new results on the migrativity of uninorms over overlap and grouping functions ⋮ On the distributivity equations between null-uninorms and overlap (grouping) functions ⋮ New extensions of quasi-overlap functions and their generalized forms on bounded posets via \(\diamond\)-operators ⋮ On the cross-migrativity between uninorms and overlap (grouping) functions ⋮ Towards interval uncertainty propagation control in bivariate aggregation processes and the introduction of width-limited interval-valued overlap functions ⋮ Constructions of quasi-overlap functions and their generalized forms on bounded partially ordered sets ⋮ On the ordinal sum of fuzzy implications: new results and the distributivity over a class of overlap and grouping functions ⋮ Constructing general overlap and grouping functions via multiplicative generators ⋮ The distributivity of extended uninorms over extended overlap functions on the membership functions of type-2 fuzzy sets ⋮ A constructive framework to define fusion functions with floating domains in arbitrary closed real intervals ⋮ \(C_F\)-integrals: a new family of pre-aggregation functions with application to fuzzy rule-based classification systems ⋮ The distributive laws of fuzzy implications over overlap and grouping functions ⋮ On multiplicative generators of overlap and grouping functions ⋮ On \((G_O, O)\)-fuzzy rough sets based on overlap and grouping functions over complete lattices ⋮ Induced operators on bounded lattices ⋮ Semi-overlap functions and novel fuzzy reasoning algorithms with applications ⋮ Constructions of overlap functions on bounded lattices ⋮ The law of \(O\)-conditionality for fuzzy implications constructed from overlap and grouping functions ⋮ On \((I_O,O)\)-fuzzy rough sets based on overlap functions ⋮ Residuated implications derived from quasi-overlap functions on lattices ⋮ General complex-valued overlap functions ⋮ On binary relations induced from overlap and grouping functions ⋮ A note on the modularity condition for overlap and grouping functions ⋮ Migrativity properties of overlap functions over uninorms ⋮ New results on the modularity condition for overlap and grouping functions ⋮ On the migrativity of uninorms and nullnorms over overlap and grouping functions ⋮ A generalization of stability for families of aggregation operators ⋮ The Notions of Overlap and Grouping Functions ⋮ Construction of Capacities from Overlap Indexes ⋮ Overlap and grouping functions on complete lattices ⋮ New measures for comparing matrices and their application to image processing ⋮ On homogeneous, quasi-homogeneous and pseudo-homogeneous overlap and grouping functions ⋮ On generalized migrativity property for overlap functions ⋮ General overlap functions ⋮ Constructing overlap functions via multiplicative generators on complete lattices ⋮ Micanorm aggregation operators: basic logico-algebraic properties ⋮ The Evolution of the Notion of Overlap Functions ⋮ Extension constructions of quasi-overlap functions and their derivative concepts on function spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• New results on overlap and grouping functions
• Archimedean overlap functions: the ordinal sum and the cancellation, idempotency and limiting properties
• A note on the convex combinations of triangular norms
• Migrativity of aggregation functions
• Noncommutative self-identity aggregation
• Semiautoduality in a restricted family of aggregation operators
• Absorbent tuples of aggregation operators
• Strictly stable families of aggregation operators
• Some properties of overlap and grouping functions and their application to image thresholding
• On the relevance of some families of fuzzy sets
• Overlap functions
• HIERARCHICAL AGGREGATION OF OWA OPERATORS: BASIC MEASURES AND RELATED COMPUTATIONAL PROBLEMS
• Classification and Modeling with Linguistic Information Granules
• GENERATION OF WEIGHTING TRIANGLES ASSOCIATED WITH AGGREGATION FUNCTIONS
• Representation of consistent recursive rules.

This page was built for publication: \(n\)-dimensional overlap functions