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Kybernetika 45(3):541-547, 2009.

A Note About Operations Like TW (the Weakest t-Norm) Based Addition on Fuzzy Intervals

Dug Hun Hong


Abstract:

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 TW-based addition. This work extends some results of Marková-Stupňanová, Mesiar.


Keywords: fuzzy arithmetics; fuzzy intervals; triangular norms;


AMS: 93E12; 62A10; 62F15;


full-text.pdf available from August 2009
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BIB TeX

@article{kyb:2009:3:541-547,

author = {Hong, Dug Hun },

title = {A Note About Operations Like $T_W$ (the Weakest $t$-Norm) Based Addition on Fuzzy Intervals},

journal = {Kybernetika},

volume = {45},

year = {2009},

number = {3},

pages = {541-547}

publisher = {{\'U}TIA, AV {\v C}R, Prague },

}


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