Clouds, fuzzy sets, and probability intervals
type: Item
instance of: scholarly article
title: Clouds, fuzzy sets, and probability intervals
zbMATH Open document ID: 1055.65062
author: Arnold Neumaier
published in: Reliable Computing
publication date: 2004-08-06T00:00:00Z
review text: Clouds are a means which combines features of fuzzy sets, probability theory, and interval analysis and which should be appropriate for numerical computations. -- The paper begins with an introduction of the basic concepts of clouds and their connections to intervals, fuzzy sets, and probability intervals. Then the relationship of clouds to uncertain probability, to lower and upper cumulative distribution functions in one variable, to consistent probability and necessity measures are investigated. Finally, the computation of functions of a random variable over a cloud and related problems are discussed. Possibilities to reduce the computational aspects to optimization problems, for which efficient algorithms are already available, are emphasized.
Mathematics Subject Classification ID: 65G40
Mathematics Subject Classification ID: 62G15
Mathematics Subject Classification ID: 26E50
zbMATH DE Number: 2081523
zbMATH Keywords: clouds
zbMATH Keywords: fuzzy sets
zbMATH Keywords: interval analysis
zbMATH Keywords: probability intervals
zbMATH Keywords: optimization problems
zbMATH Keywords: algorithms
reviewed by: H. Ratschek
describes a project that uses: BARON
describes a project that uses: INTOPT_90
MaRDI profile type: Publication
full work available at URL: b:reom.0000032114.08705.cd
OpenAlex ID: W2080187607
DOI: 10.1023/B:REOM.0000032114.08705.CD
Recommended article: Clouds, p-boxes, Fuzzy Sets, and Other Uncertainty Representations in Higher Dimensions
Recommended article: Fuzzy sets and probability
Recommended article: Q4281892
Recommended article: Fuzzy sets, probability and measurement
Recommended article: Probabilities, possibilities, and fuzzy sets
Recommended article: Fuzzy and random sets
Recommended article: Fuzziness and Probability
Recommended article: Q3721383
Recommended article: Fuzzy probabilities
Recommended article: Q3772964
description: scientific article; zbMATH DE number 2081523