Abstract
Let T be a continuous t-norm, i.e., T is a continuous two-place function from [0,1] x[0,l] into [0,1] such that for all x, y, z in [0,1] we have:
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(i)
T(x,1) = x;
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(ii)
T(x,y) ≤ T(y,z); whenever y ≤ z;
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(iii)
T(x,y) = T(y,x);
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(iv)
T(x,T(y,z)) = T(T(x,y),z)
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References
C. Alsina, On some metrics induced by copulas. In: W. Walter, General Inequalities 4, p.397. Birkhauser Veriag, Basel-Boston-Stuttgart, 1984.
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© 1987 Birkhäuser Verlag Basel
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Alsina, C. (1987). A Problem Concerning Some Metrics. In: Walter, W. (eds) General Inequalities 5. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik Série internationale d’Analyse numérique, vol 80. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7192-1_39
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DOI: https://doi.org/10.1007/978-3-0348-7192-1_39
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