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Soft Computing
Erschienen in: Soft Computing 9/2013

01.09.2013 | Methodologies and Application

A new method for solving an arbitrary fully fuzzy linear system

verfasst von: S. Moloudzadeh, T. Allahviranloo, P. Darabi

Erschienen in: Soft Computing | Ausgabe 9/2013

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Abstract

In this paper, We propose a simple and practical method (that works only for triangular fuzzy numbers) to solve an arbitrary fully fuzzy linear system (FFLS) in the form \(\widetilde{A}\otimes \widetilde{x}=\widetilde{b},\) where \(\widetilde{A}_{n \times n}\) is a fuzzy matrix, \(\widetilde{x}\) and \(\widetilde{b}\) are n × 1 fuzzy vectors. The idea of the presented method is constructed based on the extending 0-cut and 1-cut solution of original fully fuzzy linear systems (FFLS). We also define a fuzzy solution of FFLS and establish the necessary and sufficient conditions for the uniqueness of a fuzzy solution.
Vorheriger Artikel Prediction of members’ repurchase rates with time weight function
Nächster Artikel Learning to win in a first-person shooter game

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Metadaten
Titel
A new method for solving an arbitrary fully fuzzy linear system
verfasst von
S. Moloudzadeh
T. Allahviranloo
P. Darabi
Publikationsdatum
01.09.2013
Verlag
Springer Berlin Heidelberg
Erschienen in
Soft Computing / Ausgabe 9/2013
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-013-0986-x

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