Geodesic
A note about operations like $T_W$ (the weakest $t$-norm) based addition on fuzzy intervals
Kybernetika, Tome 45 (2009) no. 3, pp. 541-547

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We investigate a relation about subadditivity of functions. Based on subadditivity of functions, we consider some conditions for continuous $t$-norms to act as the weakest $t$-norm $T_W$-based addition. This work extends some results of Marková-Stupňanová [15], Mesiar [18].
Classification : 03E72, 62A10, 62A86, 62F15, 93E12
Keywords: fuzzy arithmetics; fuzzy intervals; triangular norms 
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     author = {Hong, Dug Hun},
     title = {A note about operations like $T_W$ (the weakest $t$-norm) based addition on fuzzy intervals},
     journal = {Kybernetika},
     pages = {541--547},
     publisher = {mathdoc},
     volume = {45},
     number = {3},
     year = {2009},
     mrnumber = {2543139},
     zbl = {1165.93340},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2009__45_3_a11/}
}
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Hong, Dug Hun. A note about operations like $T_W$ (the weakest $t$-norm) based addition on fuzzy intervals. Kybernetika, Tome 45 (2009) no. 3, pp. 541-547. http://geodesic.mathdoc.fr/item/KYB_2009__45_3_a11/