A note on the modularity condition for overlap and grouping functions
type: Item
instance of: scholarly article
title: A note on the modularity condition for overlap and grouping functions
zbMATH Open document ID: 1464.03082
author: Kuan Yun Zhu
author: Jingru Wang
author: Yongwei Yang
published in: Fuzzy Sets and Systems
publication date: 2021-06-24T00:00:00Z
Mathematics Subject Classification ID: 03E72
zbMATH DE Number: 7363015
zbMATH Keywords: modularity
zbMATH Keywords: overlap functions
zbMATH Keywords: grouping functions
zbMATH Keywords: continuous t-norms
zbMATH Keywords: continuous t-conorms
MaRDI profile type: Publication
full work available at URL: j.fss.2020.04.006
OpenAlex ID: W3015804874
cites work: Q5514010
cites work: Fuzzy classification systems.
cites work: Generalized interval-valued OWA operators with interval weights derived from interval-valued overlap functions
cites work: New results on overlap and grouping functions
cites work: Overlap functions
cites work: ON DISTRIBUTIVITY AND MODULARITY IN DE MORGAN TRIPLETS
cites work: Archimedean overlap functions: the ordinal sum and the cancellation, idempotency and limiting properties
cites work: On residual implications derived from overlap functions
cites work: \(QL\)-operations and \(QL\)-implication functions constructed from tuples \((O,G,N)\) and the generation of fuzzy subsethood and entropy measures
cites work: On \((G, N)\)-implications derived from grouping functions
cites work: On additive generators of overlap functions
cites work: Generalized \(C_{F_1 F_2}\)-integrals: from Choquet-like aggregation to ordered directionally monotone functions
cites work: The law of \(O\)-conditionality for fuzzy implications constructed from overlap and grouping functions
cites work: On Additive Generators of Grouping Functions
cites work: The modularity law in some classes of aggregation operators
cites work: A new modularity measure for fuzzy community detection problems based on overlap and grouping functions
cites work: \(n\)-dimensional overlap functions
cites work: The structure of continuous uni-norms
cites work: Some properties of overlap and grouping functions and their application to image thresholding
cites work: Triangular norms
cites work: \(C_F\)-integrals: a new family of pre-aggregation functions with application to fuzzy rule-based classification systems
cites work: General overlap functions
cites work: Coherent Continuous Systems and the Generalized Functional Equation of Associativity
cites work: The modularity condition for uninorms and t-operators
cites work: Capacities and overlap indexes with an application in fuzzy rule-based classification systems
cites work: On generalized migrativity property for overlap functions
cites work: On homogeneous, quasi-homogeneous and pseudo-homogeneous overlap and grouping functions
cites work: On multiplicative generators of overlap and grouping functions
cites work: On binary relations induced from overlap and grouping functions
cites work: Uninorm solutions and (or) nullnorm solutions to the modularity condition equations
cites work: The modularity condition for uninorms revisited
cites work: The modularity condition for overlap and grouping functions
cites work: The modularity condition for semi-t-operators and semi-uninorms
cites work: The modularity condition for semi-t-operators
DOI: 10.1016/J.FSS.2020.04.006
Recommended article: The modularity condition for overlap and grouping functions
Recommended article: New results on the modularity condition for overlap and grouping functions
Recommended article: On multiplicative generators of overlap and grouping functions
Recommended article: Modularity conditions between overlap (grouping) function and uni-nullnorm or null-uninorm
Recommended article: The Notions of Overlap and Grouping Functions
Recommended article: Constructing general overlap and grouping functions via multiplicative generators
Recommended article: Overlap and grouping functions on complete lattices
Recommended article: New results on overlap and grouping functions
Recommended article: Q5209364
Recommended article: On binary relations induced from overlap and grouping functions
description: scientific article; zbMATH DE number 7363015