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Empirical Versus Analytical Solutions to Full Fuzzy Linear Programming

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Intelligent Methods in Computing, Communications and Control (ICCCC 2020)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1243))

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Abstract

We approach the full fuzzy linear programming by grounding the definition of the optimal solution in the extension principle framework. Employing a Monte Carlo simulation, we compare an empirically derived solution to the solutions yielded by approaches proposed in the literature. We also propose a model able to numerically describe the membership function of the fuzzy set of feasible objective values. At the same time, the decreasing (increasing) side of this membership function represents the right (left) side of the membership function of the fuzzy set containing the maximal (minimal) objective values. Our aim is to provide decision-makers with relevant information on the extreme values that the objective function can reach under uncertain given constraints.

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Acknowledgments

This work was supported by the Serbian Ministry of Education, Science and Technological Development through Mathematical Institute of the Serbian Academy of Sciences and Arts and Faculty of Organisational Sciences of the University of Belgrade.

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Authors and Affiliations

  1. Mathematical Institute of the Serbian Academy of Sciences and Arts, Kneza Mihaila 36, 11000, Belgrade, Serbia

    Bogdana Stanojević

  2. Faculty of Organizational Sciences, University of Belgrade, Jove Ilića 154, 11000, Belgrade, Serbia

    Milan Stanojević

Authors
  1. Bogdana Stanojević
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  2. Milan Stanojević
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Corresponding author

Correspondence to Bogdana Stanojević .

Editor information

Editors and Affiliations

  1. Agora University of Oradea, Oradea, Romania

    Ioan Dzitac

  2. University of Oradea, Oradea, Romania

    Simona Dzitac

  3. Academia Romana, Bucharest, Romania

    Florin Gheorghe Filip

  4. Polish Academy of Sciences, Systems Research Institute, Warszawa, Poland

    Janusz Kacprzyk

  5. Agora University of Oradea, Oradea, Romania

    Misu-Jan Manolescu

  6. University of Oradea, Oradea, Romania

    Horea Oros

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Stanojević, B., Stanojević, M. (2021). Empirical Versus Analytical Solutions to Full Fuzzy Linear Programming. In: Dzitac, I., Dzitac, S., Filip, F., Kacprzyk, J., Manolescu, MJ., Oros, H. (eds) Intelligent Methods in Computing, Communications and Control. ICCCC 2020. Advances in Intelligent Systems and Computing, vol 1243. Springer, Cham. https://doi.org/10.1007/978-3-030-53651-0_19

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  • DOI: https://doi.org/10.1007/978-3-030-53651-0_19

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-53650-3

  • Online ISBN: 978-3-030-53651-0

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