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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Fuzzy finite element analysis based on reanalysis technique
TL;DR: This paper presents the ReFEM method for static structural analysis, a novel reanalysis-based finite element method that is explicitly suited for optimisation-based black-box techniques.
Journal ArticleDOI
On the reliability of the influence measure in the transformation method of fuzzy arithmetic
Michael Hanss,Andreas Klimke +1 more
TL;DR: The influence measure provided by the transformation method is compared to a rather classical, analytical approach based on differential calculus and an additional measure is introduced which can serve as an indicator for the effectiveness and the reliability of the influence measure calculated by the transformed method.
Journal ArticleDOI
Fuzzy stability analysis of regenerative chatter in milling
TL;DR: In this article, fuzzy arithmetic is used to predict milling chatter stability, and it is shown that the presented approach can be used to solve process design problems with robustness to the uncertain parameters.
Journal ArticleDOI
Fuzzy structural analysis based on fundamental reliability concepts
TL;DR: An alternative approach to fuzzy structural analysis consists in solving a single optimization problem for the entire problem, which is that of FORM (first-order reliability analysis), which has a valuable property, namely that it allows organizing the order statistics of the output variable along the design point vector.
Journal ArticleDOI
A decoupling approach for evidence-theory-based reliability design optimization
TL;DR: In this article, a decoupling approach is proposed for the reliability design of some complex structures with epistemic uncertainty, which converts the original nested optimization into a sequential iterative process including design optimization and reliability analysis.
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.