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- W2171269278 abstract "In the paper we define the convergence of compact fuzzy sets as a convergence of alpha-cuts in the topology of compact subsets of a metric space. Furthermore we define typical convergences of fuzzy variables and show relations with convergence of their fuzzy distributions. In this context we prove a general formulation of the Strong Law of Large Numbers for fuzzy sets and fuzzy variables with Archimedean t-norms. Next we dispute a structure of fuzzy logics and postulate a new definition of necessity measures. Finally, we prove fuzzy version of the Glivenko-Cantelli theorem and use it for a construction of a complete fuzzy measurement theory." @default.
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- W2171269278 date "2009-03-05" @default.
- W2171269278 modified "2023-09-25" @default.
- W2171269278 title "Convergence, Strong Law of Large Numbers, and Measurement Theory in the Language of Fuzzy Variables" @default.
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