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

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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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Authors and Affiliations

  1. Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran

    T. Allahviranloo, R. Nuraei, M. Ghanbari, E. Haghi & A. A. Hosseinzadeh

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  1. T. Allahviranloo
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  2. R. Nuraei
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  3. M. Ghanbari
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  4. E. Haghi
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  5. A. A. Hosseinzadeh
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Correspondence to M. Ghanbari.

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Allahviranloo, T., Nuraei, R., Ghanbari, M. et al. A new metric for L–R fuzzy numbers and its application in fuzzy linear systems. Soft Comput 16, 1743–1754 (2012). https://doi.org/10.1007/s00500-012-0858-9

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  • DOI: https://doi.org/10.1007/s00500-012-0858-9

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