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Authors: Mohammad Ali Fariborzi Araghi and Hassan Fattahi

Affiliation: Islamic Azad University, Iran, Islamic Republic of

ISBN: 978-989-8425-83-6

Keyword(s): Iterative methods, Fuzzy Linear Systems (FLS), Stochastic arithmetic, CESTAC method, CADNA library, Hausdorff distance, Fuzzy number. distance, fuzzy number.

Related Ontology Subjects/Areas/Topics: Artificial Intelligence ; Computational Intelligence ; Fuzzy Systems ; Fuzzy Systems Design, Modeling and Control ; Mathematical Foundations: Fuzzy Set Theory and Fuzzy Logic ; Soft Computing

Abstract: In this paper, a fuzzy linear system with crisp coefficient matrix is considered in order to solve in the stochastic arithmetic. The fuzzy CESTAC method is applied in order to validate the computed results. The Gauss-Seidel and Jacobi iterative methods are used for solving a given fuzzy linear system. In order to implement the proposed algorithm, the CADNA library is applied to find the optimal number of iterations. Finally, two numerical examples are solved based on the given algorithm in the stochastic arithmetic.

CC BY-NC-ND 4.0

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Paper citation in several formats:
Fariborzi Araghi, M. and Fattahi, H. (2011). SOLVING FUZZY LINEAR SYSTEMS IN THE STOCHASTIC ARITHMETIC BY APPLYING CADNA LIBRARY.In Proceedings of the International Conference on Evolutionary Computation Theory and Applications - Volume 1: FCTA, (IJCCI 2011) ISBN 978-989-8425-83-6, pages 446-450. DOI: 10.5220/0003675804460450

@conference{fcta11,
author={Mohammad Ali Fariborzi Araghi. and Hassan Fattahi.},
title={SOLVING FUZZY LINEAR SYSTEMS IN THE STOCHASTIC ARITHMETIC BY APPLYING CADNA LIBRARY},
booktitle={Proceedings of the International Conference on Evolutionary Computation Theory and Applications - Volume 1: FCTA, (IJCCI 2011)},
year={2011},
pages={446-450},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0003675804460450},
isbn={978-989-8425-83-6},
}

TY - CONF

JO - Proceedings of the International Conference on Evolutionary Computation Theory and Applications - Volume 1: FCTA, (IJCCI 2011)
TI - SOLVING FUZZY LINEAR SYSTEMS IN THE STOCHASTIC ARITHMETIC BY APPLYING CADNA LIBRARY
SN - 978-989-8425-83-6
AU - Fariborzi Araghi, M.
AU - Fattahi, H.
PY - 2011
SP - 446
EP - 450
DO - 10.5220/0003675804460450

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