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FSS
2011
82views more  FSS 2011»
12 years 8 months ago
Fuzzy transforms of higher order approximate derivatives: A theorem
In many practical applications, it is useful to represent a function f(x) by its fuzzy transform, i.e., by the “average” values Fi = f(x) · Ai(x) dx Ai(x) dx over different ...
Irina Perfilieva, Vladik Kreinovich
FSS
2011
74views more  FSS 2011»
12 years 11 months ago
Ambiguous representations as fuzzy relations between sets
Crisp and L-fuzzy ambiguous representations of closed subsets of one space by closed subsets of another space are introduced. It is shown that, for each pair of compact Hausdorff ...
Oleh R. Nykyforchyn, Dusan Repovs
FSS
2011
93views more  FSS 2011»
12 years 11 months ago
Upper and lower probabilities induced by a fuzzy random variable
We review two existing interpretations of fuzzy random variables. In the first one, the fuzzy random variable is viewed as a linguistic random variable. In the second case, it re...
Inés Couso, Luciano Sánchez