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Newton Method for Solving the Multi-Variable Fuzzy Optimization Problem

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Abstract

In this article, we propose the Newton method to find a non-dominated solution of an unconstrained multi-variable fuzzy optimization problem. For this purpose, we use the Hukuhara differentiability of fuzzy-valued functions and partial order relation on set of fuzzy numbers.

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Authors and Affiliations

  1. Department of Applied Mathematics, Faculty of Tech. & Engg., M.S. University of Baroda, Vadodara, 390001, India

    U. M. Pirzada & V. D. Pathak

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  1. U. M. Pirzada
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  2. V. D. Pathak
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Correspondence to U. M. Pirzada.

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Pirzada, U.M., Pathak, V.D. Newton Method for Solving the Multi-Variable Fuzzy Optimization Problem. J Optim Theory Appl 156, 867–881 (2013). https://doi.org/10.1007/s10957-012-0141-3

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  • DOI: https://doi.org/10.1007/s10957-012-0141-3

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