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Solving Multi-Objective Linear Fractional Programming Problem - First Order Taylor's Series Approximation Approach

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Computational Intelligence, Cyber Security and Computational Models

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 246))

Abstract

In this paper, a method is proposed for solving multi-objective linear fractional programming (MOLFP) problem. Here, the MOLFP problem is transformed into an equivalent multi-objective linear programming (MOLP) problem. Using the first-order Taylor's series approximation, the MOLFP problem is reduced to single-objective linear programming (LP) problem. Finally, the solution of MOLFP problem is obtained by solving the resultant LP problem. The proposed procedure is verified with the existing methods through the numerical examples.

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Authors and Affiliations

  1. Department of Applied Mathematics and Computational Sciences, PSG College of Technology, Coimbatore, 641004, India

    C. Veeramani & M. Sumathi

Authors
  1. C. Veeramani
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  2. M. Sumathi
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Corresponding author

Correspondence to C. Veeramani .

Editor information

Editors and Affiliations

  1. Applied Mathematics and Computational Sciences, PSG College of Technology, Coimbatore, Tamil Nadu, India

    G. Sai Sundara Krishnan

  2. Applied Mathematics and Computational Sciences, PSG College of Technology, Coimbatore, Tamil Nadu, India

    R. Anitha

  3. Applied Mathematics and Computational Sciences, PSG College of Technology, Coimbatore, Tamil Nadu, India

    R. S. Lekshmi

  4. Applied Mathematics and Computational Sciences, PSG College of Technology, Coimbatore, Tamil Nadu, India

    M. Senthil Kumar

  5. Department of Mathematics, Ryerson University, Toronto, Ontario, Canada

    Anthony Bonato

  6. University of Basque Country, Paseo Manuel De Lardizalbal 1, San Sebastian, Spain

    Manuel Graña

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Veeramani, C., Sumathi, M. (2014). Solving Multi-Objective Linear Fractional Programming Problem - First Order Taylor's Series Approximation Approach. In: Krishnan, G., Anitha, R., Lekshmi, R., Kumar, M., Bonato, A., Graña, M. (eds) Computational Intelligence, Cyber Security and Computational Models. Advances in Intelligent Systems and Computing, vol 246. Springer, New Delhi. https://doi.org/10.1007/978-81-322-1680-3_38

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  • DOI: https://doi.org/10.1007/978-81-322-1680-3_38

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  • Publisher Name: Springer, New Delhi

  • Print ISBN: 978-81-322-1679-7

  • Online ISBN: 978-81-322-1680-3

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