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A Fuzzy Programming Method for Solving Multiobjective Chance Constrained Programming Problems Involving Log-Normally Distributed Fuzzy Random Variables

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Swarm, Evolutionary, and Memetic Computing (SEMCCO 2012)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7677))

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Abstract

In this paper a fuzzy programming technique is presented to solve multiobjective chance constrained programming problem having the right sided parameters associated with system constrains follow log-normal distribution. In model formulation process the imprecise probabilistic problem is converted into an equivalent fuzzy programming model by applying chance constrained programming methodology. Then by considering fuzzy nature of parameters involved with the system constraints, the problem is decomposed on the basis of tolerance values of the parameters. The individual optimal value of each objective is found to construct the membership goals of the objectives. A priority based fuzzy goal programming approach is used for achievement of the highest membership degree to the extent possible under different priority structures to achieve the ideal point dependent solution in the decision making context. To expound the potentiality of the proposed approach, an illustrative example is solved and the solution is compared with other existing technique.

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Author information

Authors and Affiliations

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

    Animesh Biswas

  2. Department of Mathematics, Academy of Technology, G.T. Road, Adisaptagram, P.O.-Aedconagar, Dist – Hooghly, 712121, India

    Arnab Kumar De

Authors
  1. Animesh Biswas
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  2. Arnab Kumar De
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Editor information

Editors and Affiliations

  1. Department of Electrical Engineering, Indian Institute of Technology, 110016, Delhi, India

    Bijaya Ketan Panigrahi

  2. Electronics and Communication Sciences Unit, Indian Statistical Institute, 700108, Kolkata, India

    Swagatam Das

  3. School of Electrical and Electronic Engineering, Nanyang Technological University, Block N4, 2b-39, Nanyang Avenue, 639798, Singapore, Singapore

    Ponnuthurai Nagaratnam Suganthan

  4. Department of Electronics and Telecom. Engineering, Institute of Technical Education & Research, Siksha ’O’ Anusandhan University, 751030, Bhubaneswar, Odisha, India

    Pradipta Kumar Nanda

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© 2012 Springer-Verlag Berlin Heidelberg

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Biswas, A., De, A.K. (2012). A Fuzzy Programming Method for Solving Multiobjective Chance Constrained Programming Problems Involving Log-Normally Distributed Fuzzy Random Variables. In: Panigrahi, B.K., Das, S., Suganthan, P.N., Nanda, P.K. (eds) Swarm, Evolutionary, and Memetic Computing. SEMCCO 2012. Lecture Notes in Computer Science, vol 7677. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35380-2_52

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  • DOI: https://doi.org/10.1007/978-3-642-35380-2_52

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-35379-6

  • Online ISBN: 978-3-642-35380-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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