Composition of shape generators. (English) Zbl 0870.04003

The authors study generating functions and shape generators of fuzzy quantities. The shape generators are functions which determine the transformation of the structure of vagueness into actual fuzzy quantities. Main attention is paid to compositions of shape generators, which are useful in algebraic processing of fuzzy data. Several examples of important compositions are presented and some results about repetitive compositions of shape generators are shown. Concluding remarks propose a model for fuzzy quantities processing.


03E72 Theory of fuzzy sets, etc.
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