Displaying similar documents to “Multiplication, distributivity and fuzzy-integral. I”

Multiplication, distributivity and fuzzy-integral. II

Wolfgang Sander, Jens Siedekum (2005)

Kybernetika

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Based on results of generalized additions and generalized multiplications, proven in Part I, we first show a structure theorem on two generalized additions which do not coincide. Then we prove structure and representation theorems for generalized multiplications which are connected by a strong and weak distributivity law, respectively. Finally – as a last preparation for the introduction of a framework for a fuzzy integral – we introduce generalized differences with respect to t-conorms...

The cancellation law for pseudo-convolution

Andrea Stupňanová (2005)

Kybernetika

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Cancellation law for pseudo-convolutions based on triangular norms is discussed. In more details, the cases of extremal t-norms T M and T D , of continuous Archimedean t-norms, and of general continuous t-norms are investigated. Several examples are included.

Multiplication, distributivity and fuzzy-integral. III

Wolfgang Sander, Jens Siedekum (2005)

Kybernetika

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Based on the results of generalized additions, multiplications and differences proven in Part I and II of this paper a framework for a general integral is presented. Moreover it is shown that many results of the literature are contained as special cases in our results.