Continuous Archimedean t-norms and their bounds

0410683 - UTIA-B 20010152 RIV NL eng J - Journal Article
Marko, V. - Mesiar, Radko
Continuous Archimedean t-norms and their bounds.
Fuzzy Sets and Systems. Roč. 121, č. 2 (2001), s. 183-190. ISSN 0165-0114. E-ISSN 1872-6801
R&D Projects: GA ČR GA402/99/0032
Institutional research plan: AV0Z1075907
Keywords : additive generator * nilpotent t-norm * strict t-norm
Subject RIV: BA - General Mathematics
Impact factor: 0.470, year: 2001

Upper and lower bounds in the class of continuous Archimedean t-norms are studied. The existence of strict (nilpotent) bounds of finite families of strict (nilpotent) t-norms is shown in a constructive way, based on the additive generators of the corresponding t-norms. In general, a nilpotent lower bound and strict upper bound on a finite system of any continuous Archimedean t-norms can be found.
Permanent Link: http://hdl.handle.net/11104/0130771