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References (11)
-
N. Ackerman (2013)
A CHARACTERIZATION OF QUASITRIVIAL n-SEMIGROUPS -
WA Dudek, VV Mukhin (2006)
On $$n$$ n -ary semigroups with adjoint neutral elementQuasigroups Relat. Syst., 14
-
E. Czogala, J. Drewniak (1984)
Associative monotonic operations in fuzzy set theoryFuzzy Sets and Systems, 12
-
Nicholas Asher, Elise Bonzon, A. Lascarides (2010)
Computational Intelligence for Knowledge-Based Systems Design -
D. Ruiz-Aguilera, J. Torrens, B. Baets, J. Fodor (2010)
Some Remarks on the Characterization of Idempotent Uninorms -
(2017)
On conservative nondecreasing associative operations, working -
(2006)
On n-ary semigroups with adjoint neutral element -
M. Grabisch, J. Marichal, R. Mesiar, E. Pap (2009)
Aggregation Functions (Encyclopedia of Mathematics and its Applications) -
Erkko Lehtonen, J. Marichal, B. Teheux (2014)
Associative string functionsArXiv, abs/1403.7540
-
Javier Martín, G. Mayor, J. Torrens (2003)
On locally internal monotonic operationsFuzzy Sets Syst., 137
-
Associativity and bisymmetry on reflexive, monotone functions
- Publisher
- Springer Journals
- Copyright
- Copyright © 2017 by Springer Science+Business Media New York
- Subject
- Mathematics; Algebra
- ISSN
- 0037-1912
- eISSN
- 1432-2137
- DOI
- 10.1007/s00233-017-9876-3
- Publisher site
- See Article on Publisher Site
Abstract
We investigate monotone idempotent n-ary semigroups and provide a generalization of the Czogala–Drewniak Theorem, which describes the idempotent monotone associative functions having a neutral element. We also present a complete characterization of idempotent monotone n-associative functions on an interval that have neutral elements.
Journal
Semigroup Forum – Springer Journals
Published: May 25, 2017