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Dan A. Ralescu
Researcher at University of Cincinnati
Publications - 125
Citations - 7357
Dan A. Ralescu is an academic researcher from University of Cincinnati. The author has contributed to research in topics: Fuzzy number & Fuzzy logic. The author has an hindex of 32, co-authored 123 publications receiving 6843 citations. Previous affiliations of Dan A. Ralescu include Tokyo Institute of Technology & Indiana University.
Papers
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Journal ArticleDOI
Fuzzy Random Variables
Madan L. Puri,Dan A. Ralescu +1 more
TL;DR: The new definition of expectation generalizes the integral of a set-valued function and derives the Lebesgue-dominated convergence type theorem by considering a suitable generalization of the Hausdorff metric.
Journal ArticleDOI
Differentials of fuzzy functions
Madan L. Puri,Dan A. Ralescu +1 more
TL;DR: The Radstrom embedding theorem is generalized and is used to define the concept of the differential of a fuzzy function.
Book
Applications of Fuzzy Sets to Systems Analysis
TL;DR: One of the objects of this book was to facilitate communication by bringing toge- ther different viewpoints and coloring them from a common viewpoint.
Journal ArticleDOI
The fuzzy integral
Dan A. Ralescu,Gregory T. Adams +1 more
TL;DR: This paper defines the fuzzy integral of a positive, measurable function, with respect to a fuzzy measure, and shows that the monotone convergence theorem and Fatou's lemma are still true in this new setting.
Journal ArticleDOI
Limit Theorems for Fuzzy Random Variables
TL;DR: A strong law of large numbers and a central limit theorem are proved for independent and identically distributed fuzzy random variables, whose values are fuzzy sets with compact levels.