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An Iterative Fuzzy Goal Programming Method to Solve Fuzzified Multiobjective Fractional Programming Problems

  • Conference paper
ICT and Critical Infrastructure: Proceedings of the 48th Annual Convention of Computer Society of India- Vol I

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 248))

Abstract

This paper presents a fuzzy goal programming (FGP) approach for modeling and solving multiobjective fractional programming problems (MOFPPs) with fuzzy numbers parameter sets. In the proposed approach, first the notion of α-cut in fuzzy sets (FSs) is used to transform a problem into conventional MOFPP by using the tolerance membership functions in FSs. In model formulation, membership functions are converted into fuzzy goals for measuring the degree of satisfaction of decision maker (DM) with the solution for achievement of fuzzily described objectives of the problem. In the solution process, an iterative parametric method is addressed within the framework of minsum FGP model to reach the highest membership value (unity) to the extent possible in the decision making environment. The efficiency of the proposed approach is illustrated by a numerical example. The model solution is also compared with the solution obtained by using other approaches studied previously.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Alipurduar College, Alipurduar Court, 736122, West Bengal, India

    Mousumi Kumar

  2. Department of Mathematics, B.K.C. College, Kolkata, 700108, West Bengal, India

    Shyamal Sen

  3. Department of Mathematics, University of Kalyani, Kalyani, 741235, West Bengal, India

    Bijay Baran Pal

Authors
  1. Mousumi Kumar
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  2. Shyamal Sen
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  3. Bijay Baran Pal
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Corresponding author

Correspondence to Mousumi Kumar .

Editor information

Editors and Affiliations

  1. Dept. of Computer Science and Engineering, Anil Neerukonda Institute of Technology and Sciences, Vishakapatnam, India

    Suresh Chandra Satapathy

  2. College of Engineering(A), Andhra University, Vishakapatnam, India

    P. S. Avadhani

  3. University of Hyderabad, Hyderabad, India

    Siba K. Udgata

  4. CSIR-National Institute of Oceanography, Visakhapatnam, India

    Sadasivuni Lakshminarayana

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© 2014 Springer International Publishing Switzerland

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Kumar, M., Sen, S., Pal, B.B. (2014). An Iterative Fuzzy Goal Programming Method to Solve Fuzzified Multiobjective Fractional Programming Problems. In: Satapathy, S., Avadhani, P., Udgata, S., Lakshminarayana, S. (eds) ICT and Critical Infrastructure: Proceedings of the 48th Annual Convention of Computer Society of India- Vol I. Advances in Intelligent Systems and Computing, vol 248. Springer, Cham. https://doi.org/10.1007/978-3-319-03107-1_25

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  • DOI: https://doi.org/10.1007/978-3-319-03107-1_25

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-03106-4

  • Online ISBN: 978-3-319-03107-1

  • eBook Packages: EngineeringEngineering (R0)

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