Revistes Catalanes amb Accés Obert (RACO)

Idempotent operators on a finite chain

Margarita Mas Grimalt, Joan Torrens Sastre, Tomasa Calvo Sánchez, Marc Carbonell Huguet


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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