Mostra el registre d'ítem simple
On some geomtric transformation of t-norms
dc.contributor.author | Klement, E. P. (Erich Peter) |
dc.contributor.author | Mesiar, Radko |
dc.contributor.author | Pap, Endre |
dc.date.accessioned | 2007-09-18T13:26:10Z |
dc.date.available | 2007-09-18T13:26:10Z |
dc.date.issued | 1998 |
dc.identifier.issn | 1134-5632 |
dc.identifier.uri | http://hdl.handle.net/2099/3504 |
dc.description.abstract | Given a triangular norm $T$, its $t$-reverse $T^*$, introduced by C. Kimberling ({\it Publ. Math. Debrecen} 20, 21-39, 1973) under the name invert, is studied. The question under which conditions we have $ T^{**} = T$ is completely solved. The $t$-reverses of ordinal sums of $t$-norms are investigated and a complete description of continuous, self-reverse $t$-norms is given, leading to a new characterization of the continuous $t$-norms $T$ such that the function $ G(x,y) = x + y - T(x,y)$ is a $t$-conorm, a problem originally studied by M.J. Frank ({\it Aequationes Math.} 19, 194-226, 1979). Finally, some open problems are formulated. |
dc.format.extent | 57-67 |
dc.language.iso | eng |
dc.publisher | Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica |
dc.relation.ispartof | Mathware & soft computing . 1998 Vol. 5 Núm. 1 |
dc.rights | Reconeixement-NoComercial-CompartirIgual 3.0 Espanya |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject.other | T-norms |
dc.title | On some geomtric transformation of t-norms |
dc.type | Article |
dc.subject.lemac | Conjunts, Teoria de |
dc.subject.ams | Classificació AMS::03 Mathematical logic and foundations::03E Set theory |
dc.rights.access | Open Access |
Fitxers d'aquest items
Aquest ítem apareix a les col·leccions següents
-
1998, Vol. V, Núm. 1 [11]