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Analyzing the solution of a system of fuzzy linear equations by a fuzzy distance

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Abstract

We introduce a fuzzy norm on a subset of all fuzzy numbers by a distance and we use it to analyze an approximate solution of a system of fuzzy linear equations. By a theorem we give two error bounds for error of an approximate solution of a system of fuzzy linear equations.

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Acknowledgments

The author is very grateful to the anonymous referees and the editor, Prof. Luis Martnez for their comments and suggestions which have been very helpful in improving this paper.

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Authors and Affiliations

  1. Department of Mathematics, Islamic Azad University, Central Tehran Branch, Payambar Complex, Shahrak Gharb, Tehran, Iran

    Majid Amirfakhrian

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  1. Majid Amirfakhrian
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Correspondence to Majid Amirfakhrian.

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Amirfakhrian, M. Analyzing the solution of a system of fuzzy linear equations by a fuzzy distance. Soft Comput 16, 1035–1041 (2012). https://doi.org/10.1007/s00500-012-0801-0

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