@InProceedings{Horcik:EUSFLAT03, IS = { zkontrolovano 07 Dec 2003 }, UPDATE = { 2003-10-09 }, author = { Hor{\v c}{\'\i }k, Rostislav }, title = { A Note on the Structure of $\Pi$MTL-chains and Left-continuous Cancellative T-norms }, year = { 2003 }, pages = { 614-618 }, booktitle = { EUSFLAT 2003: Proceedings of the 3rd Conference of the European Society for Fuzzy Logic and Technology }, editor = { Michael Wagenknecht, Reiner Hampel }, publisher = { European Society for Fuzzy Logic and Technology, University of Applied Sciences at Zittau/Goerlitz }, address = { Zittau, Germany }, isbn = { 3-9808089-4-7 }, book_pages = { 802 }, month = { September }, day = { 10-12 }, venue = { Zittau, Germany }, annote = { In this paper we characterize $\Pi$MTL-chains over the real unit interval with finitely many Archimedean classes. Since we restrict ourselves to the standard semantics, the characterization holds also for cancellative left-continuous t-norms. }, keywords = { MTL logic, MTL-algebra, $\Pi$MTL-algebra, $\Pi$MTL-chain, Cancellative fully ordered semigroup }, prestige = { important }, authorship = { 100 }, project = { MSM 212300013, GACR 201/02/1540, CTU 0208613, CEEPUS SK-042 }, }