DocumentCode
492084
Title
Triangular Norms on a Bounded Posets
Author
Kun-Lun, Zhang ; Dong-Hai, Li
Author_Institution
Dept. of Math., Central Univ. for Nat., Beijing
fYear
2008
fDate
21-22 Dec. 2008
Firstpage
26
Lastpage
29
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;
fLanguage
English
Publisher
ieee
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
Type
conf
DOI
10.1109/KAMW.2008.4810415
Filename
4810415
Link To Document