Abstract:

The aim of the paper is to analyse some possible applications of the convolution principle for defining a calculus between fuzzy numbers. Such approach is essentially different from the classical one, published e. g. in [1], [2]; howewer it is very similar to the principles contained in [3], [4], where the convolution principle was probably used for the first time. The specificity of this paper is the notion of the modified fuzzy number. All the submitted considerations can be extended to the more general algebraical and topological structures, which will be the subject of further investigations.