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Production Dependent Agricultural 3D Transportation Problem with Maximization of Annual Net Profit in Generalized Intuitionistic Fuzzy Environment

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Recent Advances in Intelligent Information Systems and Applied Mathematics (ICITAM 2019)

Part of the book series: Studies in Computational Intelligence ((SCI,volume 863))

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Abstract

In this paper, we have presented a 3D transportation problem in generalized intuitionistic fuzzy environment in order to maximize the profit. Here, annual net profit as an objective function has been introduced in the transportation problem. Furthermore, as the production rate is not same for the whole year for the agricultural products, we have introduced average month wise production rate. As a result the availability varies month wise. Also, the purchasing price at each source and the selling price at each destination varies month wise because of the different month wise average production rates. At the same time, the demand at each destination varies due to the variation of selling price. This paper treats all costs, demands, supplies, capacities as generalized intuitionistic fuzzy in nature. The reduced deterministic models has been obtained on implementation of a defuzzification approach by using the accuracy function. The model has been illustrated by numerical example and also the optimal results has been presented by solving the reduced deterministic problem using generalized reduced gradient (GRG) method by lingo software.

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Author information

Authors and Affiliations

  1. Department of Applied Sciences, Haldia Institute of Technology, Haldia Purba Midnapur, 721657, West Bengal, India

    Sarbari Samanta & Dipak Kumar Jana

  2. Department of Mathematics, National Institute of Technology, Durgapur, 713209, West Bengal, India

    Sarbari Samanta & Goutam Panigrahi

  3. Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, 721102, West Bengal, India

    Manoranjan Maiti

Authors
  1. Sarbari Samanta
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  2. Dipak Kumar Jana
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  3. Goutam Panigrahi
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  4. Manoranjan Maiti
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Corresponding author

Correspondence to Sarbari Samanta .

Editor information

Editors and Affiliations

  1. Division of Graduate Studies and Research, Tijuana Institute of Technology, Tijuana, Mexico

    Oscar Castillo

  2. Haldia Institute of Technology, Haldia, West Bengal, India

    Dipak Kumar Jana

  3. Maulana Abul Kalam Azad University of Technology, Haringhata, India

    Debasis Giri

  4. Haldia Institute of Technology, Haldia, India

    Arif Ahmed

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The authors have no conflict of interest for the publication of this paper.

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We declared that Research work done by self finance. No institutional fund has been provided.

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The authors declared that this article does not contain any studies with human participants or animals performed by any of the authors.

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Samanta, S., Jana, D.K., Panigrahi, G., Maiti, M. (2020). Production Dependent Agricultural 3D Transportation Problem with Maximization of Annual Net Profit in Generalized Intuitionistic Fuzzy Environment. In: Castillo, O., Jana, D., Giri, D., Ahmed, A. (eds) Recent Advances in Intelligent Information Systems and Applied Mathematics. ICITAM 2019. Studies in Computational Intelligence, vol 863. Springer, Cham. https://doi.org/10.1007/978-3-030-34152-7_38

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