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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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Journal ArticleDOI

An extension to possibilistic linear programming

TL;DR: The method relies on α-cuts of the fuzzy number parameters to generate a succession of pairs of classical linear programs that produce a convex possibility distribution of the optimal objective values with the corresponding levels of the decision variables.
Journal ArticleDOI

Nitrate Risk Management under Uncertainty

TL;DR: In this article, the multicriterion decision-making methodology is provided to assist decision makers in determining, with uncertain information, which of the nitrate risk management strategies best satisfies the considerations of health risk, cost, and technical feasibility.
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Fuzzy composite programming to combine remote sensing and crop models for decision support in precision crop management

TL;DR: The addition of using remote sensing data provides an efficient method to describe spatial variability in terms that can be related to a crop model, making the decision-making approach feasible for precision farming applications.
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Calculating Functions of Interval Type-2 Fuzzy Numbers for Fault Current Analysis

TL;DR: The type-2 membership function of the output variable is calculated using the lower and upper membership functions of the input variables and the vertex method in an application where thetype-2 fuzzy fault currents of an electric distribution system are calculated.
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A qualitative simulation approach for fuzzy dynamical models

TL;DR: A fuzzy simulator is implemented that integrates a fuzzy, qualitative approach and traditional, quantitative methods, based on the Fuzzy Sets theory, extending the power of traditional numerical-logical methods.
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.