Idempotent operators on a finite chain

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

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Mas Grimalt, Margarita

Torrens Sastre, Joan

Calvo Sánchez, Tomasa

Carbonell Huguet, Marc

Document typeArticle

Defense date1999

PublisherUniversitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica

Rights accessOpen Access

Attribution-NonCommercial-NoDerivs 3.0 Spain

This work is protected by the corresponding intellectual and industrial property rights. Except where otherwise noted, its contents are licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 3.0 Spain

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.

URIhttp://hdl.handle.net/2099/3556

ISSN1134-5632

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Mathware & soft computing - 1999, Vol. VI, Núm. 2-3 [16]

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