Annelies Vroman - Academia.edu (original) (raw)

Annelies Vroman

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Papers by Annelies Vroman

Research paper thumbnail of Generalized arithmetic operations in interval-valued fuzzy set theory

Journal of Intelligent and Fuzzy Systems, 2005

Research paper thumbnail of Generalized arithmetic operations in interval-valued fuzzy set theory

Journal of Intelligent Fuzzy Systems Applications in Engineering and Technology, 2005

Research paper thumbnail of Using Parametric Functions to Solve Systems of Linear Fuzzy Equations with a Symmetric Matrix

International Journal of Computational Intelligence Systems, 2008

Research paper thumbnail of Fuzzy finite elements: combination of Guyan reduction and a new method to solve linear fuzzy system

Proceedings of ISMA …, 2006

Research paper thumbnail of A Solution for Systems of Linear Fuzzy Equations in Spite of the Non-Existence of a Field of Fuzzy Numbers

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2005

In this paper we investigate whether the fuzzy arithmetic based on Zadeh's extension principl... more In this paper we investigate whether the fuzzy arithmetic based on Zadeh's extension principle could be improved by redefining the fuzzy addition and multiplication so that the class of fuzzy numbers combined with these operations would constitute a field. We will prove that such a fuzzy arithmetic does not exist. This has important consequences for solving systems of linear fuzzy equations. Despite the lack of inverses, we propose a method to solve approximately such systems.

Research paper thumbnail of Real-Time Constrained Fuzzy Arithmetic

IEEE Transactions on Fuzzy Systems, 2000

ABSTRACT

Research paper thumbnail of Solving systems of linear fuzzy equations by parametric functions—An improved algorithm

Fuzzy Sets and Systems, 2007

Research paper thumbnail of Generalized arithmetic operations in interval-valued fuzzy set theory

Journal of Intelligent and Fuzzy Systems, 2005

Research paper thumbnail of Generalized arithmetic operations in interval-valued fuzzy set theory

Journal of Intelligent Fuzzy Systems Applications in Engineering and Technology, 2005

Research paper thumbnail of Using Parametric Functions to Solve Systems of Linear Fuzzy Equations with a Symmetric Matrix

International Journal of Computational Intelligence Systems, 2008

Research paper thumbnail of Fuzzy finite elements: combination of Guyan reduction and a new method to solve linear fuzzy system

Proceedings of ISMA …, 2006

Research paper thumbnail of A Solution for Systems of Linear Fuzzy Equations in Spite of the Non-Existence of a Field of Fuzzy Numbers

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2005

In this paper we investigate whether the fuzzy arithmetic based on Zadeh's extension principl... more In this paper we investigate whether the fuzzy arithmetic based on Zadeh's extension principle could be improved by redefining the fuzzy addition and multiplication so that the class of fuzzy numbers combined with these operations would constitute a field. We will prove that such a fuzzy arithmetic does not exist. This has important consequences for solving systems of linear fuzzy equations. Despite the lack of inverses, we propose a method to solve approximately such systems.

Research paper thumbnail of Real-Time Constrained Fuzzy Arithmetic

IEEE Transactions on Fuzzy Systems, 2000

ABSTRACT

Research paper thumbnail of Solving systems of linear fuzzy equations by parametric functions—An improved algorithm

Fuzzy Sets and Systems, 2007

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