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Solving multi-objective linear fractional transportation problem under neutrosophic environment

Vishwas Deep Joshi, Jagdev Singh, Rachana Saini, Kottakkaran Sooppy Nisar

2022Journal of Interdisciplinary Mathematics13 citationsDOI

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.

Topics & Concepts

FalsityIndeterminacy (philosophy)Mathematical optimizationLinear programmingInteger programmingMATLABMathematicsUncertainty theoryComputer sciencePhilosophyOperating systemPhysicsQuantum mechanicsLinguisticsOptimization and Mathematical ProgrammingMulti-Criteria Decision Making