Título inglés |
On some geometric transformation of t-norms. |
Título español |
Transformación geométrica de t-normas. |
Autor/es |
Klement, Erich Peter ; Mesiar, Radko ; Pap, Endre |
Organización |
Dep. Math. Johannes Kepler Univ., Linz, Austria;Dep. Math. Fac. Civil Engin. Slovak Tech. Univ., Bratislava, Eslovaquia;Inst. Math. Univ. Novi Sad, Novi Sad, Serbia |
Revista |
1134-5632 |
Publicación |
1998, 5 (1): 57-67, 6 Ref. |
Tipo de documento |
articulo |
Idioma |
Inglés |
Resumen inglés |
Given a triangular norm T, its t-reverse T*, introduced by C. Kimberling (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 (Aequationes Math. 19, 194-226, 1979). Finally, some open problems are formulated. |
Clasificación UNESCO |
120106 |
Palabras clave español |
Norma triangular ; Espacio normado probabilístico ; Espacios métricos ; Lógica difusa |
Código MathReviews |
MR1632763 |
Código Z-Math |
Zbl 0932.03066 |
Acceso al artículo completo |