Title :
Triangular Norms on a Bounded Posets
Author :
Kun-Lun, Zhang ; Dong-Hai, Li
Author_Institution :
Dept. of Math., Central Univ. for Nat., Beijing
Abstract :
In this presented note, triangular norms are studied in the general setting of bounded partially ordered sets(posets). The sets of idempotent elements, zero divisors and nilpotent elements associated to a t-norm are introduced and related to each other. The Archimedean of t-norms is discussed, in particular its relationship to the diagonal inequality.
Keywords :
fuzzy set theory; bounded partially ordered sets; idempotent elements; nilpotent elements; t-norms Archimedean; triangular norms; zero divisors; Boundary conditions; Extraterrestrial measurements; Fuzzy logic; Fuzzy set theory; Fuzzy sets; Lattices; Mathematics; Thermal engineering; Upper bound; Archimedean property; Cancellation law; Triangular norms; bounded lattices; bounded posets;
Conference_Titel :
Knowledge Acquisition and Modeling Workshop, 2008. KAM Workshop 2008. IEEE International Symposium on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-3530-2
Electronic_ISBN :
978-1-4244-3531-9
DOI :
10.1109/KAMW.2008.4810415
