A review of the relationships between implication, negation and aggregation functions from the point of view of material implication
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Publication:1750534
DOI10.1016/j.ins.2015.09.033zbMath1387.03023OpenAlexW1788095458WikidataQ60255741 ScholiaQ60255741MaRDI QIDQ1750534
Publication date: 22 May 2018
Published in: Information Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ins.2015.09.033
aggregation functionimplication functionnegation functionmaterial implicationdisjunctorimplication and aggregation functions properties
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Cites Work
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- New results on overlap and grouping functions
- Directional monotonicity of fusion functions
- Aggregation functions and contradictory information
- Semi-uninorms and implications on a complete lattice
- On \((G, N)\)-implications derived from grouping functions
- The law of importation versus the exchange principle on fuzzy implications
- Two classes of pseudo-triangular norms and fuzzy implications
- On some new classes of implication operators and their role in approximate reasoning
- Construction of strong equality index from implication operators
- On fuzzy implications determined by aggregation operators
- Generating pseudo-t-norms and implication operators
- Distributivity of residual implications over conjunctive and disjunctive uninorms
- Negation and affirmation: the role of involutive negators
- On the structure of left-continuous t-norms that have a continuous contour line
- Fuzzy implications
- A characterization of (U,N), RU, QL and D-implications derived from uninorms satisfying the law of importation
- On dependencies and independencies of fuzzy implication axioms
- Continuous R-implications generated from representable aggregation functions
- S- and R-implications from uninorms continuous in \(0,1[^2\) and their distributivity over uninorms]
- Residual coimplicators of left and right uninorms on a complete lattice
- On fuzzy implication operators
- A new look at fuzzy connectives
- Nonstandard conjunctions and implications in fuzzy logic
- Uninorm aggregation operators
- How to construct left-continuous triangular norms -- state of the art.
- Triangular norms
- On residual implications derived from overlap functions
- Pseudo-t-norms and implication operators on a complete Brouwerian lattice
- Automorphisms, negations and implication operators
- Contrapositive symmetry of fuzzy implications
- On fuzzy implications: an axiomatic approach
- Absorbent tuples of aggregation operators
- On the vertical threshold generation method of fuzzy implication and its properties
- Some properties of overlap and grouping functions and their application to image thresholding
- Two types of implications derived from uninorms
- Conjunctors and their residual implicators: characterizations and construction methods
- Modeling holistic fuzzy implication using co-copulas
- Compositions of invariant fuzzy implications
- Overlap functions
- An Overview of Construction Methods of Fuzzy Implications
- Implication Functions Generated Using Functions of One Variable
- Compositions of Fuzzy Implications
- The functional equations of Frank and Alsina for uninorms and nullnorms
