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Interval Goal Programming Approach to Multiobjective Programming Problems with Fuzzy Data Uncertainty

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Information Systems Design and Intelligent Applications

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 339))

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Abstract

This paper presents interval goal programming approach for solving multiobjective programming problems with fuzzy parameter sets. In the proposed approach, the notion of interval approximation technique to fuzzy numbers is used to transform the objectives with interval parameter sets. In the model formulation, interval arithmetic is employed to convert the problem into the standard goal programming problem. In goal achievement function, both the modelling aspects in goal programming (GP), minsum GP and minmax GP are taken into account as a convex combination of them to minimize possible deviations from specified target intervals for goal achievements from optimistic point of view of decision maker (DM) in the decision situation. A numerical example is solved to illustrate the proposed approach.

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Acknowledgments

Authors are thankful to the anonymous reviewers and Program Chair of the conference INDIA 2015, for their comments and suggestions to improve the quality of presentation of the paper.

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Authors and Affiliations

  1. Department of Mathematics, Brahmananda Keshab Chandra College, Kolkata, 700108, West Bengal, India

    Shyamal Sen

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

    Bijay Baran Pal

Authors
  1. Shyamal Sen
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  2. Bijay Baran Pal
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Corresponding author

Correspondence to Shyamal Sen .

Editor information

Editors and Affiliations

  1. University of Kalyani, Kalyani, West Bengal, India

    J. K. Mandal

  2. Department of Computer Science and Engineering, Anil Neerukonda Institute of Technology and Sciences, Vishakapatnam, India

    Suresh Chandra Satapathy

  3. Dean, Faculty of Engineering, Technology, University of Kalyani, Kalyani, West Bengal, India

    Manas Kumar Sanyal

  4. Engineering and Technological Studies, University of Kalyani, Kalyani, West Bengal, India

    Partha Pratim Sarkar

  5. Department Computer Science & Engineering, University of Kalyani, Kalyani, India

    Anirban Mukhopadhyay

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Sen, S., Pal, B.B. (2015). Interval Goal Programming Approach to Multiobjective Programming Problems with Fuzzy Data Uncertainty. In: Mandal, J., Satapathy, S., Kumar Sanyal, M., Sarkar, P., Mukhopadhyay, A. (eds) Information Systems Design and Intelligent Applications. Advances in Intelligent Systems and Computing, vol 339. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2250-7_45

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  • DOI: https://doi.org/10.1007/978-81-322-2250-7_45

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  • Publisher Name: Springer, New Delhi

  • Print ISBN: 978-81-322-2249-1

  • Online ISBN: 978-81-322-2250-7

  • eBook Packages: EngineeringEngineering (R0)

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