CHARACTERIZATION OF ARCHIMEDEAN T-NORMS AND A LAW OF LARGE NUMBERS

Authors
TRIESCH E
Citation
E. Triesch, CHARACTERIZATION OF ARCHIMEDEAN T-NORMS AND A LAW OF LARGE NUMBERS, Fuzzy sets and systems, 58(3), 1993, pp. 339-342
Citations number
8
Categorie Soggetti
Computer Sciences, Special Topics","System Science",Mathematics,"Computer Applications & Cybernetics","Statistic & Probability",Mathematics
Journal title
Fuzzy sets and systems → ACNP
ISSN journal
01650114
Volume
58
Issue
3
Year of publication
1993
Pages
339 - 342
Database
ISI
SICI code
0165-0114(1993)58:3<339:COATAA>2.0.ZU;2-F
Abstract
We study a law of large numbers for mutually T-related fuzzy numbers w here T is an Archimedian t-norm and extend earlier results of Fuller i n this area. In particular, we show that the class of Archimedian t-no rms can be characterised by the validity of a very general law of larg e numbers for sequences of L-R fuzzy numbers.