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Soft Computing

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01.10.2012 | Original Paper

A new metric for L–R fuzzy numbers and its application in fuzzy linear systems

verfasst von: T. Allahviranloo, R. Nuraei, M. Ghanbari, E. Haghi, A. A. Hosseinzadeh

Erschienen in: Soft Computing | Ausgabe 10/2012

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Abstract

In this paper, a metric based on modified Euclidean metric on interval numbers, for L–R fuzzy numbers with fixed \(L(\cdot)\) and \(R(\cdot)\) is introduced. Then, it is applied for solving L–R fuzzy linear system (L–R-FLS) with fuzzy right-hand side, so that L–R-FLS is transformed to the minimization problem. The solution of the mentioned non-linear programming problem is our favorite fuzzy number vector solution. Two constructive Algorithms are proposed in detail and the method is illustrated by solving several numerical examples.

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Titel: A new metric for L–R fuzzy numbers and its application in fuzzy linear systems
verfasst von: T. Allahviranloo
R. Nuraei
M. Ghanbari
E. Haghi
A. A. Hosseinzadeh
Publikationsdatum: 01.10.2012
Verlag: Springer-Verlag
Erschienen in: Soft Computing / Ausgabe 10/2012
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI: https://doi.org/10.1007/s00500-012-0858-9

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