Uninorm aggregation operators
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Publication:1357149
DOI10.1016/0165-0114(95)00133-6zbMath0871.04007OpenAlexW2060878354MaRDI QIDQ1357149
Ronald R. Yager, Alexander N. Rybalov
Publication date: 24 September 1997
Published in: Fuzzy Sets and Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0165-0114(95)00133-6
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pseudo-\(e\)-implications, The distributive equations for idempotent uninorms and nullnorms, On extended representable uninorms and their extended fuzzy implications (coimplications), ASYMPTOTICALLY IDEMPOTENT AGGREGATION OPERATORS, Unnamed Item, Unnamed Item, Unnamed Item, Logics for finite \(\mathbf{UL}\) and \(\mathbf{IUL}\)-algebras are substructural fuzzy logics, AGGREGATION OPERATORS AND ASSOCIATED FUZZY MEASURES, A Discriminative Dynamic Index Based on Bipolar Aggregation Operators for Supporting Dynamic Multi-criteria Decision Making, Implications Generated by Triples of Monotone Functions, Construction Methods for Uninorms via Rotation, Rotation-Annihilation, and Twin Rotation, Web-Geometric View on Uninorms and Structure of Some Special Classes, On distributivity between aggregation operators with annihilator and Mayor’s aggregation operators, The distributivity property of increasing binary operations, On the structure of special classes of uninorms, A construction of sound 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Cites Work
- Unnamed Item
- A computational approach to fuzzy quantifiers in natural languages
- On some logical connectives for fuzzy sets theory
- A review of fuzzy set aggregation connectives
- Characterization of fuzzy measures constructed by means of triangular norms
- MAM and MOM bag operators for aggregation
- Aggregation operators and fuzzy systems modeling
- An experiment in linguistic synthesis with a fuzzy logic controller