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Journal ArticleDOI

Vertex method for computing functions of fuzzy variables

Weimin Dong, +1 more
- 21 Sep 1987 - 
- Vol. 24, Iss: 1, pp 65-78
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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.
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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.

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Citations
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Fuzzy-Set-Modelle für Investitionsentscheidungen - eine Verknüpfung der Möglichkeitstheorie mit vollständigen Finanzplänen

TL;DR: The Fuzzy Set Theorie basierende Moglichkeitstheorie erlaubt es, sowohl Unsicherheit als auch Unscharfe zu modellieren as mentioned in this paper.
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Real-Time Constrained Fuzzy Arithmetic

TL;DR: This paper proposes a new CFA algorithm that can be used in real-time applications and addresses the problem of unnecessary precision loss when dealing with fuzzy quantities that represent linguistic variables.
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Video Superresolution reconstruction using iterative back projection with critical-point filters based image matching

TL;DR: Experimental results demonstrate that, compared to optical flow based image matching with IBP algorithm, subjective quality improvement and an average PSNR score of 0.53 dB improvement are obtained by the proposed algorithm, when applied to video sequence.
Journal ArticleDOI

Robust design optimisation under lack-of-knowledge uncertainty

TL;DR: In this paper , a surrogate approach is proposed to solve the robust optimization problem under interval uncertainty and a dedicated learning function is used to ensure iterative minimization of the surrogate modelling error and convergence towards the robust optimum.
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

Sjoerd M. Baas, +1 more
- 01 Jan 1977 - 
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

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.