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Using Genetic Algorithm for Solving Linear Multilevel Programming Problems via Fuzzy Goal Programming

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Control, Computation and Information Systems (ICLICC 2011)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 140))

Abstract

This article presents a fuzzy goal programming (FGP) procedure for modeling and solving multilevel programming (MLP) problems by using genetic algorithm (GA) in a large hierarchical decision making system.

In the proposed approach, an GA scheme is introduced first for searching of solutions at different stages and thereby solving the problem and making decision in the order of hierarchy of execution of decision powers of the decision makers (DMs) located at different hierarchical levels.

In the proposed GA scheme, Roulette-wheel selection scheme, single point crossover and random mutation are adopted to search a satisfactory solution in the hierarchical decision system.

To illustrate the potential use of the approach, a numerical example is solved.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Kalyani, Kalyani, 741235, W.B., India

    Bijay Baran Pal

  2. Department of Mathematics, Narula Institute of Technology, Kolkata, 700109, W.B., India

    Debjani Chakraborti

  3. Department of Electrical Engineering, JIS College of Engineering, Kalyani, 741235, W.B., India

    Papun Biswas

Authors
  1. Bijay Baran Pal
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  2. Debjani Chakraborti
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  3. Papun Biswas
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Editor information

Editors and Affiliations

  1. Department of Mathematics, Gandhigram Rural Institute - Deemed University, Gandhigram, Tamil Nadu, India

    P. Balasubramaniam

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Pal, B.B., Chakraborti, D., Biswas, P. (2011). Using Genetic Algorithm for Solving Linear Multilevel Programming Problems via Fuzzy Goal Programming. In: Balasubramaniam, P. (eds) Control, Computation and Information Systems. ICLICC 2011. Communications in Computer and Information Science, vol 140. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19263-0_10

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  • DOI: https://doi.org/10.1007/978-3-642-19263-0_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-19262-3

  • Online ISBN: 978-3-642-19263-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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