On residual implications derived from overlap functions
From MaRDI portal
Publication:1749187
DOI10.1016/j.ins.2015.03.049zbMath1387.03022OpenAlexW1987898498MaRDI QIDQ1749187
Graçaliz Pereira Dimuro, Benjamín René Callejas Bedregal
Publication date: 16 May 2018
Published in: Information Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ins.2015.03.049
Related Items (65)
Residual implications on lattice \(\mathcal{L}\) of intuitionistic truth values based on powers of continuous t-norms ⋮ A study of (T,N)-implications and its use to construct a new class of fuzzy subsethood measure ⋮ On decision evaluation functions in three-way decision spaces derived from overlap and grouping functions ⋮ Directional monotonic fuzzy implication functions induced from directional increasing quasi-grouping functions ⋮ On interval additive generators of interval overlap functions and interval grouping functions ⋮ On interval \(R_{\mathbb{O}}\)- and \((\mathbb{G},\mathbb{O},\mathbb{N})\)-implications derived from interval overlap and grouping functions ⋮ Distributivity characterization of idempotent uni-nullnorms and overlap or grouping functions ⋮ Discrete overlap functions: basic properties and constructions ⋮ General interval-valued overlap functions and interval-valued overlap indices ⋮ Generalized interval-valued OWA operators with interval weights derived from interval-valued overlap functions ⋮ Some new results on the migrativity of uninorms over overlap and grouping functions ⋮ On the distributivity equations between null-uninorms and overlap (grouping) functions ⋮ Minimizing a linear objective function under a max-overlap function fuzzy relational equation constraint ⋮ On interval fuzzy implications derived from interval additive generators of interval t-norms ⋮ On a new contrapositivisation technique for fuzzy implications constructed from quasi-overlap and quasi-grouping functions ⋮ Towards interval uncertainty propagation control in bivariate aggregation processes and the introduction of width-limited interval-valued overlap functions ⋮ On the ordinal sum of fuzzy implications: new results and the distributivity over a class of overlap and grouping functions ⋮ Lattice-valued overlap and quasi-overlap functions ⋮ Constructing overlap and grouping functions on complete lattices by means of complete homomorphisms ⋮ 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 ⋮ Extension operators for type-2 fuzzy sets derived from overlap functions ⋮ Pre-(quasi-)overlap functions on bounded posets ⋮ 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 ⋮ On residual implications derived from 2-uninorms ⋮ \(C_F\)-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 ⋮ Novel transformation methods from semi-three-way decision spaces to three-way decision spaces and their applications ⋮ On discrete quasi-overlap functions ⋮ On interval-valued pre-(quasi-)overlap functions ⋮ \((O, G)\)-granular variable precision fuzzy rough sets based on overlap and grouping functions ⋮ 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 ⋮ \(N\)-vertical generated implications and their distributivities over \(t\)-norms and \(t\)-conorms ⋮ General complex-valued overlap functions ⋮ \(QL\)-operations and \(QL\)-implication functions constructed from tuples \((O,G,N)\) and the generation of fuzzy subsethood and entropy measures ⋮ New results on the migrativity properties for overlap (grouping) functions and uninorms ⋮ A review of the relationships between implication, negation and aggregation functions from the point of view of material implication ⋮ On binary relations induced from overlap and grouping functions ⋮ On interval \((\mathbb{G}, \mathbb{N})\)-implications and \((\mathbb{O}, \mathbb{G}, \mathbb{N})\)-implications derived from interval overlap and grouping functions ⋮ A note on the modularity condition for overlap and grouping functions ⋮ On the distributivity equations between uni-nullnorms and overlap (grouping) functions ⋮ New results on the modularity condition for overlap and grouping functions ⋮ On the migrativity of uninorms and nullnorms over overlap and grouping functions ⋮ Generalized \(C_{F_1 F_2}\)-integrals: from Choquet-like aggregation to ordered directionally monotone functions ⋮ Characterizations of \((U^2,N)\)-implications generated by 2-uninorms and fuzzy negations from the point of view of material implication ⋮ Modularity conditions between overlap (grouping) function and uni-nullnorm or null-uninorm ⋮ Inflationary BL-algebras obtained from 2-dimensional general overlap functions ⋮ On distributive laws between 2-uninorms and overlap (grouping) functions ⋮ Interval-valued fuzzy inference based on aggregation functions ⋮ Overlap and grouping functions on complete lattices ⋮ On homogeneous, quasi-homogeneous and pseudo-homogeneous overlap and grouping functions ⋮ On generalized migrativity property for overlap functions ⋮ Granular fuzzy rough sets based on fuzzy implicators and coimplicators ⋮ General overlap functions ⋮ Binary relations induced from quasi-overlap functions and quasi-grouping functions on a bounded lattice ⋮ Notes on ``On \((I_O,O)\)-fuzzy rough sets based on overlap functions ⋮ 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
- New results on overlap and grouping functions
- Archimedean overlap functions: the ordinal sum and the cancellation, idempotency and limiting properties
- Interval additive generators of interval t-norms and interval t-conorms
- On \((G, N)\)-implications derived from grouping functions
- On fuzzy implications determined by aggregation operators
- A note on the convex combinations of triangular norms
- Fuzzy implications
- On dependencies and independencies of fuzzy implication axioms
- Nonstandard conjunctions and implications in fuzzy logic
- Triangular norms
- Automorphisms, negations and implication operators
- A survey of weak connectives and the preservation of their properties by aggregations
- On interval fuzzy S-implications
- Absorbent tuples of aggregation operators
- Recognizing and learning models of social exchange strategies for the regulation of social interactions in open agent societies
- Conjunctors and their residual implicators: characterizations and construction methods
- Overlap functions
- Interval Valued QL-Implications
- Dependencies between fuzzy conjunctions and implications
- Analysing some R-Implications and its application in fuzzy mathematical morphology
This page was built for publication: On residual implications derived from overlap functions
