Linear regression analysis for fuzzy input and output data using the extension principle
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The method for obtaining the fuzzy least squares estimators with the help of the extension principle in fuzzy sets theory is proposed and the methodology for evaluating the predicted fuzzy output from the given fuzzy input data is provided.Abstract:
The method for obtaining the fuzzy least squares estimators with the help of the extension principle in fuzzy sets theory is proposed. The membership functions of fuzzy least squares estimators will be constructed according to the usual least squares estimators. In order to obtain the membership value of any given value taken from the fuzzy least squares estimator, optimization problems have to be solved. We also provide the methodology for evaluating the predicted fuzzy output from the given fuzzy input data.read more
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Journal ArticleDOI
Real and Complex Analysis. By W. Rudin. Pp. 412. 84s. 1966. (McGraw-Hill, New York.)
TL;DR: In this paper, the Riesz representation theorem is used to describe the regularity properties of Borel measures and their relation to the Radon-Nikodym theorem of continuous functions.
Journal ArticleDOI
An evaluation approach to engineering design in QFD processes using fuzzy goal programming models
Liang-Hsuan Chen,Ming Chu Weng +1 more
TL;DR: Fuzzy goal programming models are proposed to determine the fulfillment levels of the DRs and the coefficients in the proposed model are also fuzzy in order to expose the fuzziness of the linguistic information.
Production, Manufacturing and Logistics An evaluation approach to engineering design in QFD processes using fuzzy goal programming models
Liang-Hsuan Chen,Ming-Chu Weng +1 more
TL;DR: In this article, a fuzzy goal programming model is proposed to determine the fulfillment levels of the DRs, and the coefficients in the proposed model are also fuzzy in order to expose the fuzziness of the linguistic information.
Journal ArticleDOI
Fuzzy linear programming models for new product design using QFD with FMEA
Liang-Hsuan Chen,Wen Chang Ko +1 more
TL;DR: In this article, the authors proposed a fuzzy linear programming model to determine the fulfillment levels of PC under the requirement to achieve the determined contribution levels of DRs for customer satisfaction, considering the design risk, which is treated as the constraint in the models.
Journal ArticleDOI
Fuzzy process control: construction of control charts with fuzzy numbers
TL;DR: The construction of fuzzy control charts for a process with fuzzy outcomes derived from the subjective quality ratings provided by a group of experts, whose construction and out-of-control conditions are developed using possibility theory.
References
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Book
Fuzzy sets
TL;DR: A separation theorem for convex fuzzy sets is proved without requiring that the fuzzy sets be disjoint.
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.
Book
Real and complex analysis
TL;DR: In this paper, the Riesz representation theorem is used to describe the regularity properties of Borel measures and their relation to the Radon-Nikodym theorem of continuous functions.