Continuous Archimedean t-norms and their bounds

0410683 - UTIA-B 20010152 RIV NL eng J - Článek v odborném periodiku
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
Grant CEP: GA ČR GA402/99/0032
Výzkumný záměr: AV0Z1075907
Klíčová slova: additive generator * nilpotent t-norm * strict t-norm
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 0.470, rok: 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.
Trvalý link: http://hdl.handle.net/11104/0130771