Idempotent operators on a finite chain

1. Mas Grimalt, Margarita
2. Torrens Sastre, Joan
3. Calvo Sánchez, Tomasa
4. Carbonell Huguet, Marc

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Altres publicacions en: Mathware & soft computing: The Magazine of the European Society for Fuzzy Logic and Technology

Resum

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.

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