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An Application of the Modified Subgradient Method for Solving Fuzzy Linear Fractional Programming Problem

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Topics in Nonconvex Optimization

Part of the book series: Springer Optimization and Its Applications ((SOIANOIA,volume 50))

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Abstract

We present an application of the “modified subgradient method” to solve a fuzzy linear fractional programming problem. We concentrate on a linear fractional programming problem in which both the right-hand side and the technological coefficients are fuzzy numbers. We compare efficiency of the proposed solution method with the well-known “fuzzy decisive set method” in terms of the number of iterations taken to reach the optimal solution. A numerical illustration is provided for the purpose.

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Authors and Affiliations

  1. Department of Operational Research, University of Delhi, Delhi, India

    Pankaj Gupta & Mukesh Kumar Mehlawat

Authors
  1. Pankaj Gupta
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  2. Mukesh Kumar Mehlawat
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Correspondence to Pankaj Gupta .

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Editors and Affiliations

  1. Faculty of Science, Dept. of Mathematics, Banaras Hindu University, Varanasi, 221005, India

    Shashi Kant Mishra

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Gupta, P., Mehlawat, M. (2011). An Application of the Modified Subgradient Method for Solving Fuzzy Linear Fractional Programming Problem. In: Mishra, S. (eds) Topics in Nonconvex Optimization. Springer Optimization and Its Applications(), vol 50. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-9640-4_8

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