Idempotent operators on a finite chain
- Mas Grimalt, Margarita
- Torrens Sastre, Joan
- Calvo Sánchez, Tomasa
- Carbonell Huguet, Marc
ISSN: 1134-5632
Year of publication: 1999
Volume: 6
Issue: 2-3
Pages: 235-247
Type: Article
More publications in: Mathware & soft computing: The Magazine of the European Society for Fuzzy Logic and Technology
Abstract
This work is devoted to find and study some possible idempotent operators on a finite chain L. Specially, all idempotent operators on L which are associative, commutative and non-decreasing in each place are characterized. By adding one smoothness condition, all these operators reduce to special combinations of Minimum and Maximum.