Solving multi-objective linear fractional transportation problem under neutrosophic environment

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Abstract

We are discussing multi-objective linear fractional transportation problem (MOLFTP) under neutrosophic environment in the present paper. In proposed methodology, we characterize each objective of our MOLFTP in three different ways such that truth membership; indeterminacy membership and falsity membership functions. Proposed methodology gives us best neutrosophic compromise programming model under the given membership functions. In the given approach, we convert MOLFTP model into the non-linear integer programming model using proposed approach and solve it using MATLAB. To support the theory a numerical example is also discussed.

Original languageEnglish
Pages (from-to)123-136
Number of pages14
JournalJournal of Interdisciplinary Mathematics
Volume25
Issue number1
DOIs
StatePublished - 2022

Keywords

  • 90C10
  • 90C29
  • 90C30
  • 90C32
  • Integer programming
  • Multi-objective linear fractional transportation problem (MOLFTP)
  • Neutrosophic compromise programming
  • Non-linear programming (NLP)

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