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Kybernetika 40(4):441-458, 2004.

Nearness Relations in Linear Spaces

Martin Kalina


Abstract:

In this paper, we consider nearness-based convergence in a linear space, where the coordinatewise given nearness relations are aggregated using weighted pseudo-arithmetic and geometric means and using continuous t-norms.


Keywords: nearness relation; pseudo-arithmetic mean; geometric mean; nearness-convergence; continuous t-norm;


AMS: 40A05; 46A45; 03E72;


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BIB TeX

@article{kyb:2004:4:441-458,

author = {Kalina, Martin},

title = {Nearness Relations in Linear Spaces},

journal = {Kybernetika},

volume = {40},

year = {2004},

number = {4},

pages = {441-458}

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

}


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