Idempotent operators on a finite chain

  1. Mas Grimalt, Margarita
  2. Torrens Sastre, Joan
  3. Calvo Sánchez, Tomasa
  4. Carbonell Huguet, Marc
Journal:
Mathware & soft computing: The Magazine of the European Society for Fuzzy Logic and Technology

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.