Journal ArticleDOI
Vertex method for computing functions of fuzzy variables
Weimin Dong,Haresh C. Shah +1 more
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TLDR
The vertex method can avoid abnormality due to the discretization technique on the variables domain and the widening of the resulting function value set due to multi-occurrence of variables in the functional expression by conventional interval analysis methods.About:
This article is published in Fuzzy Sets and Systems.The article was published on 1987-09-21. It has received 550 citations till now. The article focuses on the topics: Feedback vertex set & Fuzzy number.read more
Citations
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Proceedings ArticleDOI
Uncertainty-based design in automotive and aerospace engineering
Stijn Donders,Roberto d'Ippolito,Herman Van der Auweraer,Michael Hack,N. Tzannetakis,Laszlo Farkas,Wim Desmet +6 more
Proceedings Article
Differential Evolution Methods for LU-fuzzy Arithmetic.
TL;DR: A di¬erential evolution (DE) algorithm to calculate the level-cuts of the fuzzy extension of a multidimensional real valued function to fuzzy numbers, designed to the case of di¤erentiable functions, for which a representation of the furry numbers is used to improve e¢ ciency and quality of calculations.
Journal ArticleDOI
An application of fuzzy sets to transport project appraisal
TL;DR: A detailed illustration of the application of continuous fuzzy sets (fuzzy numbers) to the assessment of four alternative routes for a part of a proposed Eastern Corridor between the Cities of Brisbane and the Gold Coast, Queensland, Australia, is presented.
Journal ArticleDOI
An extended analytical approach to evaluating monotonic functions of fuzzy numbers
Arthur Seibel,Josef Schlattmann +1 more
TL;DR: This paper presents an extended analytical approach to evaluating continuous, monotonic functions of independent fuzzy numbers based on a parametric α-cut representation of fuzzy numbers and allows for the inclusion of parameter uncertainties into mathematical models.
Journal ArticleDOI
Machine learning based optimization for interval uncertainty propagation
TL;DR: In this article , two non-intrusive uncertainty propagation approaches are proposed for the performance analysis of engineering systems described by expensive-to-evaluate deterministic computer models with parameters defined as interval variables.
References
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Journal ArticleDOI
The concept of a linguistic variable and its application to approximate reasoning—II☆
TL;DR: Much of what constitutes the core of scientific knowledge may be regarded as a reservoir of concepts and techniques which can be drawn upon to construct mathematical models of various types of systems and thereby yield quantitative information concerning their behavior.
Journal ArticleDOI
Paper: Rating and ranking of multiple-aspect alternatives using fuzzy sets
TL;DR: A method to deal with multiple-alternative decision problems under uncertainty by considering each of these variables as fuzzy quantities, characterized by appropriate membership functions of fuzzy sets induced by mappings is proposed.
Journal ArticleDOI
Fuzzy weighted averages and implementation of the extension principle
Weimin Dong,F. S. Wong +1 more
TL;DR: A computational algorithm based on the α-cut representation of fuzzy sets and interval analysis is described which provides a discrete but exact solution to extended algebraic operations in a very efficient and simple manner.
Book
Fuzzy Sets, Natural Language Computations, and Risk Analysis
TL;DR: A new approach to analyze the risks a computer system may be subject to and a non-numeric method that allows natural language expression is presented.