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A Method to Solve Fractional Transportation Problems with Rough Interval Parameters

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Soft Computing: Theories and Applications

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 627))

Abstract

While solving real-world transportation problems, a decision-maker has to face the uncertainty and/or hesitations to define the input parameters. To deal with such situations, rough set theory is a significant tool as it includes the agreement and understanding of all the experts. In this study, a mathematical model of fractional transportation problem is developed in which all the coefficients and decision variables are rough intervals. To solve the problem, a new method is proposed in which the problem model is decomposed into two sub-models: the upper interval model and the lower interval model. These two sub-models are further solved to get the optimal rough interval solution. At last, a numerical example is solved to demonstrate the applicability of the proposed methodology in the areas of transportation and decision-making.

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Acknowledgements

The first author is thankful to the Ministry of Human Resource Development, India, for providing financial support, to carry out this work.

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Authors and Affiliations

  1. Department of Mathematics, Dr. B.R. Ambedkar National Institute of Technology Jalandhar, Jalandhar, Punjab, 144027, India

    Shivani & Deepika Rani

Authors
  1. Shivani
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  2. Deepika Rani
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Corresponding author

Correspondence to Shivani .

Editor information

Editors and Affiliations

  1. Department of Electrical Engineering, Malaviya National Institute of Technology, Jaipur, Rajasthan, India

    Rajesh Kumar

  2. Western Norway University of Applied Sciences, Bergen, Norway

    Ajit Kumar Verma

  3. Department of Computer Science, Shobhit University, Gangoh, India

    Tarun K. Sharma

  4. Department of Instrumentation and Control Engineering, Dr. B. R. Ambedkar National Institute of Technology, Jalandhar, Punjab, India

    Om Prakash Verma

  5. University Institute of Technology, Himachal Pradesh University, Shimla, Himachal Pradesh, India

    Sanjay Sharma

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Conflict of Interest All the authors declare that they have no conflict of interest.

Ethical Approval This article does not contain any studies with human participants or animals performed by any of the authors.

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Shivani, Rani, D. (2023). A Method to Solve Fractional Transportation Problems with Rough Interval Parameters. In: Kumar, R., Verma, A.K., Sharma, T.K., Verma, O.P., Sharma, S. (eds) Soft Computing: Theories and Applications. Lecture Notes in Networks and Systems, vol 627. Springer, Singapore. https://doi.org/10.1007/978-981-19-9858-4_59

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