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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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Assessing damping uncertainty in space structures with fuzzy sets

TL;DR: The Fuzzy Set Method is shown to bound the range of possible responses and thus to provide a valuable limiting check on the First Order Method near resonant conditions, a relative inexpensive alternative to numerical simulation.

Advanced Modeling In Biological Engineering Using Soft Computing Methods

TL;DR: This paper discusses the course content and topics presented, and how the course continues to evolve, and a summary of student projects and results are also presented.
Journal ArticleDOI

Fuzzy sets. Introduction to theory and applications in process engineering

TL;DR: Fuzzy set theory is becoming an increasingly important tool in the new fast developing disciplines of artificial intelligence: expert systems and neural networks.
Proceedings ArticleDOI

The Influence of Uncertainty of Design Parameters on Dynamic Characteristics of Structure with Dampers

TL;DR: The fractional derivatives are used to describe the models of dampers and the uncertainty of their design parameters is introduced as an interval value and the lower and upper bounds of objective dynamic characteristics are obtained using the first and second-order Taylor series expansion.
Journal ArticleDOI

A numerical approach to study heat and mass transfer in porous medium influenced by uncertain parameters

TL;DR: In this paper , the authors discussed the model of heat and mass transfer in a porous medium with epistemic uncertainties and the convergence analysis of the same is performed with Triangular Fuzzy Number (TFN).
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.